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Machado, José António Tenreiro (b. 1957 d. 2021)

Author ID: machado.jose-antonio-tenreiro Recent zbMATH articles by "Machado, José António Tenreiro"
Published as: Machado, J. A. Tenreiro; Tenreiro Machado, J. A.; Machado, J. Tenreiro; Tenreiro Machado, J.; Machado, J. A. T.; Tenreiro Machado, José António; Machado, José A. Tenreiro; Machado, José António Tenreiro; Tenreiro Machado, José; Tenreiro Machado, José A.; Machado, José Tenreiro; Machado, Jose Antonio Tenreiro; Tenreiro-Machado, J. A.; Machado, José A.
Homepage: http://ave.dee.isep.ipp.pt/~jtm/
External Links: ORCID · Wikidata · Google Scholar · dblp · GND · IdRef
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Co-Authors

36 single-authored
38 Lopes, António M.
27 Băleanu, Dumitru I.
17 Barbosa, Ramiro S.
16 Alfi, Alireza
15 Yang, Xiao-Jun
14 Moghaddam, Behrouz Parsa
13 Jesus, Isabel S.
12 Ortigueira, Manuel D.
10 Avazzadeh, Zakieh
10 Galhano, Alexandra M. S. F.
10 Hassani, Hossein
10 Silva, Manuel F.
9 Duarte, Fernando B. M.
9 Kiryakova, Virginia S.
9 Nikan, Omid
8 Chen, Liping
8 Wu, Ranchao
7 Bhrawy, Ali Hassan
7 de Moura Oliveira, Paulo B.
7 Pahnehkolaei, Seyed Mehdi Abedi
7 Sayevand, Khosro
6 Balachandran, Balakumar
6 Lacarbonara, Walter
6 Ma, Jun
6 Naraghirad, Eskandar
6 Pinto, Carla M. A.
6 Stépán, Gábor
6 Zaky, Mahmoud A.
5 Aghayan, Zahra Sadat
5 Costa, António C.
5 Figueiredo, Lino B.
5 Luo, Albert C. J.
5 Mainardi, Francesco
5 Valério, Duarte
4 Alaviyan Shahri, Esmat Sadat
4 Boaventura-Cunha, José
4 da Graça Marcos, Maria
4 Ebaid, Abdelhalim
4 Ezz-Eldien, Samer S.
4 Lima, Miguel F. M.
4 Quelhas, Maria Dulce
4 Taş, Kenan
4 Trujillo, Juan J.
3 Aljohani, Abdulrahman F.
3 Argyros, Ioannis Konstantinos
3 Behl, Ramandeep
3 Cao Labora, Daniel
3 David, Sergio Adriani
3 de Oliveira, Edmundo Capelas
3 Doha, Eid H.
3 Drăgănescu, Gheorghe
3 Fonseca Ferreira, Nuno Miguel
3 Golbabai, Ahmad
3 Ionescu, Clara Mihaela
3 Leamy, Michael J.
3 Milici, Constantin
3 Monteiro Duarte, Gonçalo
3 Mostaghim, Zeinab Salamat
3 Reis, Cecília M.
3 Rivero, Margarita
3 Rosário, João Maurıcio
3 Srivastava, Hari Mohan
3 Tar, József K.
3 Tobón, Catalina
3 Ugarte, Juan P.
2 Abdelkawy, Mohamed A.
2 Aldraiweesh, Ahmed A.
2 Alshomrani, Ali Saleh
2 Babaei, Afshin
2 Cattani, Carlo
2 Chaudhary, Naveed Ishtiaq
2 Chen, Gang
2 Chen, Wen
2 Copot, Dana
2 De Keyser, Robin
2 Fečkan, Michal
2 Fedula, Mykola
2 Ferreira, Isabel M.
2 Ferreira, José Rui
2 Gaber, Ahmed A.
2 Gao, Feng
2 Inacio, C. M. C. jun.
2 Liu, Fawang
2 Luchko, Yuri
2 Marcos, Maria G.
2 Martynyuk, Valeriy
2 Mehdipour, S. Hamid
2 Nigmatullin, Raoul R.
2 Özdemir, Necati
2 Pan, Wei
2 Pires, E. J. Solteiro
2 Quintino, D. D.
2 Raja, Muhammad Asif Zahoor
2 Volchenkov, Dimitri Yu.
2 Wang, Yushun
2 Zhou, Yong
1 Abd-Elhameed, Waleed Mohamed
1 Abdel-Gawad, Hamdy Ibrahim
1 Abdelhakim, Ahmed A.
1 Afraimovich, Valentin S.
...and 114 more Co-Authors
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Serials

44 Communications in Nonlinear Science and Numerical Simulation
29 Nonlinear Dynamics
26 Fractional Calculus & Applied Analysis
17 Applied Mathematical Modelling
13 Computers & Mathematics with Applications
12 Journal of Vibration and Control
11 Mathematical Problems in Engineering
9 Mathematical Methods in the Applied Sciences
9 Computational and Applied Mathematics
9 Abstract and Applied Analysis
8 Systems Analysis, Modelling Simulation
8 Nonlinear Systems and Complexity
7 Signal Processing
7 International Journal of Nonlinear Sciences and Numerical Simulation
6 Chaos, Solitons and Fractals
5 Applied Mathematics and Computation
4 Journal of Computational Physics
4 Asian Journal of Control
3 Journal of Computational and Applied Mathematics
3 Applied Numerical Mathematics
3 Neural Networks
3 NODYCON Conference Proceedings Series
2 International Journal of Control
2 Journal of Optimization Theory and Applications
2 Journal of Scientific Computing
2 Chaos
2 Fundamenta Informaticae
2 Entropy
2 Advances in Difference Equations
2 Advances in Mathematical Physics
2 Symmetry
2 Nonlinear Physical Science
1 Journal of the Franklin Institute
1 Physica A
1 Mathematics and Computers in Simulation
1 Optimal Control Applications & Methods
1 Stochastic Analysis and Applications
1 Optimization
1 Applied Mathematics Letters
1 Mathematical and Computer Modelling
1 Journal of Robotic Systems
1 Numerical Algorithms
1 International Journal of Robust and Nonlinear Control
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Engineering Analysis with Boundary Elements
1 Nonlinear Studies
1 Discrete Dynamics in Nature and Society
1 Analysis (München)
1 International Journal of Applied Mathematics
1 Nonlinear Analysis. Real World Applications
1 International Journal of Pure and Applied Mathematics
1 Hacettepe Journal of Mathematics and Statistics
1 Fixed Point Theory and Applications
1 Journal of Statistical Mechanics: Theory and Experiment
1 Boundary Value Problems
1 Stochastics
1 Acta Mechanica Sinica
1 Chinese Journal of Physics (Taipei)
1 Journal of Nonlinear Science and Applications
1 IET Control Theory & Applications
1 Springer Proceedings in Mathematics & Statistics
1 Journal of Applied Nonlinear Dynamics
1 The Scientific World Journal. Probability and Statistics
1 Computational Methods for Differential Equations
1 International Journal of Systems Science. Principles and Applications of Systems and Integration
1 IET Control Engineering Series
1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Advances in Continuous and Discrete Models
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Fields

122 Real functions (26-XX)
80 Ordinary differential equations (34-XX)
74 Systems theory; control (93-XX)
65 Numerical analysis (65-XX)
54 Partial differential equations (35-XX)
41 Biology and other natural sciences (92-XX)
33 Mechanics of particles and systems (70-XX)
32 General and overarching topics; collections (00-XX)
26 Dynamical systems and ergodic theory (37-XX)
22 Information and communication theory, circuits (94-XX)
20 Operations research, mathematical programming (90-XX)
19 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
17 Probability theory and stochastic processes (60-XX)
16 Computer science (68-XX)
15 Statistics (62-XX)
14 Mechanics of deformable solids (74-XX)
13 Calculus of variations and optimal control; optimization (49-XX)
11 Special functions (33-XX)
11 Optics, electromagnetic theory (78-XX)
9 History and biography (01-XX)
9 Measure and integration (28-XX)
8 Fluid mechanics (76-XX)
7 Operator theory (47-XX)
7 Geophysics (86-XX)
6 Statistical mechanics, structure of matter (82-XX)
5 Approximations and expansions (41-XX)
4 Harmonic analysis on Euclidean spaces (42-XX)
4 Integral equations (45-XX)
3 Combinatorics (05-XX)
3 Number theory (11-XX)
3 Integral transforms, operational calculus (44-XX)
3 Classical thermodynamics, heat transfer (80-XX)
3 Astronomy and astrophysics (85-XX)
3 Mathematics education (97-XX)
2 Mathematical logic and foundations (03-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Functions of a complex variable (30-XX)
2 Quantum theory (81-XX)
1 Topological groups, Lie groups (22-XX)
1 Difference and functional equations (39-XX)
1 General topology (54-XX)
1 Relativity and gravitational theory (83-XX)

Publications by Year

Citations contained in zbMATH Open

280 Publications have been cited 6,973 times in 4,687 Documents Cited by Year
Advances in fractional calculus. Theoretical developments and applications in physics and engineering. Zbl 1116.00014
976
2007
Recent history of fractional calculus. Zbl 1221.26002
Tenreiro Machado, J.; Kiryakova, Virginia; Mainardi, Francesco
536
2011
New trends in nanotechnology and fractional calculus applications. Selected papers based on the presentations at the workshop new trends in science and technology (NTST 08), and the workshop fractional differentiation and its applications (FDA 09), Ankara, Türkei, November 2008. Zbl 1196.65021
257
2010
The role of fractional calculus in modeling biological phenomena: a review. Zbl 1467.92050
Ionescu, Claramihaela; Lopes, A.; Copot, Dana; Machado, J. A. T.; Bates, Jason H. T.
166
2017
A review of definitions for fractional derivatives and integral. Zbl 1407.26013
de Oliveira, Edmundo Capelas; Tenreiro Machado, José António
158
2014
What is a fractional derivative? Zbl 1349.26016
Ortigueira, Manuel D.; Tenreiro Machado, J. A.
151
2015
A review of definitions of fractional derivatives and other operators. Zbl 1452.26008
Sales Teodoro, G.; Tenreiro Machado, J. A.; de Oliveira, E. Capelas
132
2019
A new fractional operator of variable order: application in the description of anomalous diffusion. Zbl 1495.35204
Yang, Xiao-Jun; Machado, J. A. Tenreiro
132
2017
Analysis and design of fractional-order digital control systems. Zbl 0875.93154
Machado, J. A. Tenreiro
124
1997
Some applications of fractional calculus in engineering. Zbl 1191.26004
Tenreiro Machado, J. A.; Silva, Manuel F.; Barbosa, Ramiro S.; Jesus, Isabel S.; Reis, Cecília M.; Marcos, Maria G.; Galhano, Alexandra F.
95
2010
On exact traveling-wave solutions for local fractional Korteweg-de Vries equation. Zbl 1378.35329
Yang, Xiao-Jun; Tenreiro Machado, J. A.; Baleanu, Dumitru; Cattani, Carlo
93
2016
Fractional dynamics and control. Papers based on the presentations at the 3rd conference on nonlinear science and complexity (NSC) Ankara, Turkey, July 27–31, 2010. Zbl 1231.93003
91
2012
A review of operational matrices and spectral techniques for fractional calculus. Zbl 1348.65106
Bhrawy, Ali H.; Taha, Taha M.; Tenreiro Machado, José A.
86
2015
On the formulation and numerical simulation of distributed-order fractional optimal control problems. Zbl 1510.49018
Zaky, M. A.; Tenreiro Machado, J. A.
86
2017
Discrete-time fractional-order controllers. Zbl 1111.93307
Machado, J. A. Tenreiro
80
2001
Fractional control of heat diffusion systems. Zbl 1210.80008
Jesus, Isabel S.; Tenreiro Machado, J. A.
72
2008
Some pioneers of the applications of fractional calculus. Zbl 1305.26008
Valério, Duarte; Machado, José Tenreiro; Kiryakova, Virginia
70
2014
Optimal variable-order fractional PID controllers for dynamical systems. Zbl 1392.49033
Dabiri, A.; Moghaddam, B. P.; Machado, J. A. Tenreiro
59
2018
A new numerical technique for solving the local fractional diffusion equation: two-dimensional extended differential transform approach. Zbl 1410.65415
Yang, Xiao-Jun; Tenreiro Machado, J. A.; Srivastava, H. M.
59
2016
Historical survey: the chronicles of fractional calculus. Zbl 1364.26002
Machado, J. A. Tenreiro; Kiryakova, Virginia
59
2017
A new fractal nonlinear Burgers’ equation arising in the acoustic signals propagation. Zbl 1435.35412
Yang, Xiao-Jun; Machado, J. A. Tenreiro
56
2019
A probabilistic interpretation of the fractional-order differentiation. Zbl 1035.26010
Machado, J. A. Tenreiro
53
2003
Fractional order calculus: basic concepts and engineering applications. Zbl 1190.26002
Gutiérrez, Ricardo Enrique; Rosário, João Maurício; Tenreiro Machado, José
53
2010
Tuning of PID controllers based on Bode’s ideal transfer function. Zbl 1134.93334
Barbosa, Ramiro S.; Machado, J. A. Tenreiro; Ferreira, Isabel M.
53
2004
Analysis of the van der Pol oscillator containing derivatives of fractional order. Zbl 1158.70009
Barbosa, Ramiro S.; Machado, J. A. Tenreiro; Vinagre, B. M.; Calderón, A. J.
52
2007
A stable three-level explicit spline finite difference scheme for a class of nonlinear time variable order fractional partial differential equations. Zbl 1412.65084
Moghaddam, B. P.; Machado, J. A. T.
51
2017
A computational approach for the solution of a class of variable-order fractional integro-differential equations with weakly singular kernels. Zbl 1376.65159
Parsa Moghaddam, Behrouz; Tenreiro Machado, José António
48
2017
Stability of fractional order systems. Zbl 1296.93172
Rivero, Margarita; Rogosin, Sergei V.; Machado, José A. Tenreiro; Trujillo, Juan J.
47
2013
Controllability results for impulsive mixed-type functional integro-differential evolution equations with nonlocal conditions. Zbl 1285.93024
Machado, José A.; Ravichandran, Chokkalingam; Rivero, Margarita; Trujillo, Juan J.
47
2013
Extended algorithms for approximating variable order fractional derivatives with applications. Zbl 1370.26017
Moghaddam, Behrouz Parsa; Tenreiro Machado, José António
46
2017
And I say to myself: “What a fractional world!”. Zbl 1273.37002
Tenreiro Machado, J. A.
45
2011
Chaotic phenomena and fractional-order dynamics in the trajectory control of redundant manipulators. Zbl 1027.70011
Duarte, Fernando B. M.; Machado, J. A. Tenreiro
45
2002
An efficient numerical scheme for solving multi-dimensional fractional optimal control problems with a quadratic performance index. Zbl 1341.49037
Bhrawy, A. H.; Doha, E. H.; Machado, J. A. Tenreiro; Ezz-Eldien, S. S.
44
2015
Stability and synchronization of fractional-order memristive neural networks with multiple delays. Zbl 1437.93098
Chen, Liping; Cao, Jinde; Wu, Ranchao; Machado, J. A. Tenreiro; Lopes, António M.; Yang, Hejun
43
2017
Numerical solution of variable-order fractional integro-partial differential equations via sinc collocation method based on single and double exponential transformations. Zbl 1452.65268
Babaei, A.; Moghaddam, B. P.; Banihashemi, S.; Machado, J. A. T.
41
2020
A spectral framework for fractional variational problems based on fractional Jacobi functions. Zbl 06902342
Zaky, M. A.; Doha, E. H.; Tenreiro Machado, J. A.
40
2018
Numerical approximation of the nonlinear time-fractional telegraph equation arising in neutron transport. Zbl 1471.65162
Nikan, O.; Avazzadeh, Z.; Machado, J. A. Tenreiro
40
2021
A critical analysis of the Caputo-Fabrizio operator. Zbl 1510.26004
Ortigueira, Manuel D.; Tenreiro Machado, J.
40
2018
Entropy analysis of integer and fractional dynamical systems. Zbl 1211.37057
Tenreiro Machado, J. A.
38
2010
A new family of the local fractional PDEs. Zbl 1386.35461
Yang, Xiao-Jun; Machado, J. A. Tenreiro; Nieto, Juan J.
38
2017
Development of fractional order capacitors based on electrolyte processes. Zbl 1173.78313
Jesus, Isabel S.; Tenreiro Machado, J. A.
36
2009
Science metrics on fractional calculus development since 1966. Zbl 1312.26004
Machado, J. Tenreiro; Galhano, Alexandra M.; Trujillo, Juan J.
36
2013
Mathematical aspects of the Heisenberg uncertainty principle within local fractional Fourier analysis. Zbl 1296.35154
Yang, Xiao-Jun; Baleanu, Dumitru; Machado, José António Tenreiro
36
2013
Fractional electrical impedances in botanical elements. Zbl 1229.78023
Jesus, Isabel S.; Tenreiro Machado, J. A.; Cunha, J. Boaventure
36
2008
A poster about the recent history of fractional calculus. Zbl 1221.26013
Tenreiro-Machado, J. A.; Kiryakova, Virginia; Mainardi, Francesco
36
2010
Efficient Legendre spectral tau algorithm for solving the two-sided space-time Caputo fractional advection-dispersion equation. Zbl 1365.35201
Bhrawy, A. H.; Zaky, M. A.; Tenreiro Machado, J. A.
36
2016
Variable order fractional systems. Zbl 1464.26007
Ortigueira, Manuel D.; Valério, Duarte; Tenreiro Machado, J.
36
2019
A poster about the old history of fractional calculus. Zbl 1222.26015
Tenreiro Machado, J. A.; Kiryakova, Virginia; Mainardi, Francesco
35
2010
Editorial: Fractional calculus applications in signals and systems. Zbl 1172.94301
Ortigueira, Manuel Duarte; Machado, J. A. Tenreiro
35
2006
Fractional calculus: quo vadimus? (where are we going?). Zbl 1309.26011
Tenreiro Machado, J.; Mainardi, Francesco; Kiryakova, Virginia
34
2015
Introduction to fractional differential equations. Zbl 1417.34004
Milici, Constantin; Drăgănescu, Gheorghe; Machado, José António Tenreiro
34
2019
An integro quadratic spline approach for a class of variable-order fractional initial value problems. Zbl 1422.65131
Moghaddam, B. P.; Machado, J. A. T.; Behforooz, H.
34
2017
Systems of Navier-Stokes equations on Cantor sets. Zbl 1299.76047
Yang, Xiao-Jun; Baleanu, Dumitru; Tenreiro Machado, J. A.
33
2013
Numerical solution of the two-sided space-time fractional telegraph equation via Chebyshev tau approximation. Zbl 1471.65157
Bhrawy, Ali H.; Zaky, Mahmoud A.; Machado, José A. Tenreiro
33
2017
A critical analysis of the conformable derivative. Zbl 1437.26006
Abdelhakim, Ahmed A.; Machado, José A. Tenreiro
32
2019
Fractional-order control of a hexapod robot. Zbl 1096.70004
Silva, Manuel F.; Machado, J. A. T.; Lopes, A. M.
32
2004
Nonlinear dynamics for local fractional Burgers’ equation arising in fractal flow. Zbl 1354.35180
Yang, Xiao-Jun; Machado, J. A. Tenreiro; Hristov, Jordan
32
2016
Generalized shifted Chebyshev polynomials for fractional optimal control problems. Zbl 1462.49014
Hassani, Hossein; Tenreiro Machado, J. A.; Naraghirad, E.
31
2019
Delay-dependent criterion for asymptotic stability of a class of fractional-order memristive neural networks with time-varying delays. Zbl 1443.93108
Chen, Liping; Huang, Tingwen; Machado, J. A. Tenreiro; Lopes, António M.; Chai, Yi; Wu, Ranchao
30
2019
Local fractional variational iteration and decomposition methods for wave equation on Cantor sets within local fractional operators. Zbl 1468.35226
Baleanu, Dumitru; Tenreiro Machado, J. A.; Cattani, Carlo; Baleanu, Mihaela Cristina; Yang, Xiao-Jun
30
2014
Multi-dimensional spectral tau methods for distributed-order fractional diffusion equations. Zbl 1443.65257
Zaky, Mahmoud A.; Machado, J. Tenreiro
30
2020
Numerical solution of time-fractional fourth-order reaction-diffusion model arising in composite environments. Zbl 1481.65196
Nikan, O.; Machado, J. A. Tenreiro; Golbabai, A.
29
2021
SM-algorithms for approximating the variable-order fractional derivative of high order. Zbl 1377.65031
Moghaddam, B. P.; Machado, J. A. T.
29
2017
Time domain design of fractional differintegrators using least-squares. Zbl 1172.94364
Barbosa, Ramiro S.; Machado, J. A. Tenreiro; Silva, Manuel F.
28
2006
A computationally efficient method for tempered fractional differential equations with application. Zbl 1405.65092
Moghaddam, Behrouz Parsa; Tenreiro Machado, J. A.; Babaei, Afshin
28
2018
Numerical investigation of fractional nonlinear sine-Gordon and Klein-Gordon models arising in relativistic quantum mechanics. Zbl 1464.65151
Nikan, O.; Avazzadeh, Z.; Tenreiro Machado, J. A.
27
2020
Numerical approach for a class of distributed order time fractional partial differential equations. Zbl 1407.65122
Moghaddam, B. P.; Machado, J. A. Tenreiro; Morgado, M. L.
27
2019
Fractional dynamics in DNA. Zbl 1218.92038
Tenreiro Machado, J. A.; Costa, António C.; Quelhas, Maria Dulce
25
2011
Numerical approach for modeling fractional heat conduction in porous medium with the generalized Cattaneo model. Zbl 1481.65150
Nikan, O.; Avazzadeh, Z.; Tenreiro Machado, J. A.
25
2021
The generalized Kudryashov method for nonlinear space-time fractional partial differential equations of Burgers type. Zbl 1439.35529
Gaber, A. A.; Aljohani, A. F.; Ebaid, A.; Machado, J. Tenreiro
24
2019
Fractional order PD\(^\alpha\) joint control of legged robots. Zbl 1182.70019
Silva, Manuel F.; Machado, J. A. Tenreiro
23
2006
Chebyshev spectral methods for multi-order fractional neutral pantograph equations. Zbl 1516.34016
Ezz-Eldien, S. S.; Wang, Y.; Abdelkawy, M. A.; Zaky, M. A.; Aldraiweesh, A. A.; Machado, J. Tenreiro
23
2020
Delay independent robust stability analysis of delayed fractional quaternion-valued leaky integrator echo state neural networks with QUAD condition. Zbl 1428.34020
Pahnehkolaei, Seyed Mehdi Abedi; Alfi, Alireza; Tenreiro Machado, J. A.
22
2019
The \(\psi\)-Hilfer fractional calculus of variable order and its applications. Zbl 1476.26004
Vanterler da C. Sousa, J.; Machado, J. A. Tenreiro; de Oliveira, E. Capelas
21
2020
Numerical evaluation of the fractional Klein-Kramers model arising in molecular dynamics. Zbl 07511421
Nikan, O.; Machado, J. A. Tenreiro; Golbabai, A.; Rashidinia, J.
21
2021
An extension of estimation of domain of attraction for fractional order linear system subject to saturation control. Zbl 1319.93059
Alaviyan Shahri, Esmat Sadat; Alfi, Alireza; Tenreiro Machado, J. A.
20
2015
Stability analysis of a class of nonlinear fractional-order systems under control input saturation. Zbl 1391.93177
Shahri, Esmat Sadat Alaviyan; Alfi, Alireza; Machado, J. A. Tenreiro
20
2018
Particle swarm optimization with fractional-order velocity. Zbl 1204.90119
Solteiro Pires, E. J.; Tenreiro Machado, J. A.; De Moura Oliveira, P. B.; Boaventura Cunha, J.; Mendes, Luís
20
2010
Lyapunov method for the stability analysis of uncertain fractional-order systems under input saturation. Zbl 1481.93103
Alaviyan Shahri, Esmat Sadat; Alfi, Alireza; Machado, J. A. Tenreiro
20
2020
An innovative fractional order LMS algorithm for power signal parameter estimation. Zbl 1481.94050
Chaudhary, Naveed Ishtiaq; Latif, Rizwan; Zahoor Raja, Muhammad Asif; Machado, J. A. Tenreiro
20
2020
Computational scheme for solving nonlinear fractional stochastic differential equations with delay. Zbl 07123588
Moghaddam, B. P.; Mendes Lopes, A.; Tenreiro Machado, J. A.; Mostaghim, Z. S.
20
2019
Dynamic stability analysis of fractional order leaky integrator echo state neural networks. Zbl 1510.68097
Pahnehkolaei, Seyed Mehdi Abedi; Alfi, Alireza; Tenreiro Machado, J. A.
20
2017
Application of fractional calculus in the dynamical analysis and control of mechanical manipulators. Zbl 1159.26303
Fonseca Ferreira, N. M.; Duarte, Fernando B.; Lima, Miguel F. M.; Marcos, Maria G.; Machado, J. A. Tenreiro
19
2008
New nonautonomous combined multi-wave solutions for \((2+1)\)-dimensional variable coefficients KdV equation. Zbl 1398.35102
Osman, M. S.; Machado, J. A. T.
19
2018
Delay-dependent stability analysis of the QUAD vector field fractional order quaternion-valued memristive uncertain neutral type leaky integrator echo state neural networks. Zbl 1443.93101
Pahnehkolaei, Seyed Mehdi Abedi; Alfi, Alireza; Machado, J. A. Tenreiro
19
2019
Partial chaos suppression in a fractional order macroeconomic model. Zbl 1540.91041
David, S. A.; Machado, J. A. T.; Quintino, D. D.; Balthazar, J. M.
18
2016
Jacobi collocation approximation for solving multi-dimensional Volterra integral equations. Zbl 1401.65148
Abdelkawy, Mohamed A.; Amin, Ahmed Z. M.; Bhrawy, Ali H.; Tenreiro Machado, José A.; Lopes, António M.
18
2017
Numerical solution of mixed-type fractional functional differential equations using modified Lucas polynomials. Zbl 1449.65143
Moghaddam, B. P.; Dabiri, A.; Lopes, António M.; Machado, J. A. Tenreiro
18
2019
A review of power laws in real life phenomena. Zbl 1248.60020
Pinto, Carla M. A.; Mendes Lopes, A.; Tenreiro Machado, J. A.
18
2012
Optimal tuning of fractional controllers using genetic algorithms. Zbl 1211.93070
Tenreiro Machado, J. A.
17
2010
Analysis of natural and artificial phenomena using signal processing and fractional calculus. Zbl 1323.92092
Machado, J. A. Tenreiro; Lopes, António M.
17
2015
Robust asymptotic stability of interval fractional-order nonlinear systems with time-delay. Zbl 1398.93281
Li, Penghua; Chen, Liping; Wu, Ranchao; Tenreiro Machado, J. A.; Lopes, António M.; Yuan, Liguo
17
2018
Fractional order dynamics in a GA planner. Zbl 1145.94371
Pires, E. J. Solteiro; Machado, J. A. Tenreiro; De Moura Oliveira, P. B.
17
2003
A computational approach for the non-smooth solution of non-linear weakly singular Volterra integral equation with proportional delay. Zbl 1436.65215
Mokhtary, P.; Moghaddam, B. P.; Lopes, A. M.; Machado, J. A. Tenreiro
17
2020
Analysis of temperature time-series: embedding dynamics into the MDS method. Zbl 1457.62371
Lopes, António M.; Tenreiro Machado, J. A.
17
2014
A new insight into complexity from the local fractional calculus view point: modelling growths of populations. Zbl 1381.92088
Yang, Xiao-Jun; Machado, J. A. Tenreiro
17
2017
Fractional order electromagnetics. Zbl 1172.94454
Machado, J. A. Tenreiro; Jesus, Isabel S.; Galhano, Alexandra; Boaventura Cunha, J.
16
2006
Fractional generalization of memristor and higher order elements. Zbl 1259.35219
Tenreiro Machado, J.
16
2013
Sufficient conditions for existence and uniqueness of fractional stochastic delay differential equations. Zbl 1490.60172
Moghaddam, B. P.; Zhang, Lei; Lopes, A. M.; Tenreiro Machado, J. A.; Mostaghim, Z. S.
16
2020
Design of multi innovation fractional LMS algorithm for parameter estimation of input nonlinear control autoregressive systems. Zbl 1481.93148
Chaudhary, Naveed Ishtiaq; Raja, Muhammad Asif Zahoor; He, Yigang; Aslam Khan, Zeshan; Machado, J. A. Tenreiro
16
2021
Localized kernel-based meshless method for pricing financial options underlying fractal transmission system. Zbl 1543.91107
Nikan, Omid; Avazzadeh, Zakieh; Machado, José A. Tenreiro
3
2024
Modified SIQR model for the COVID-19 outbreak in several countries. Zbl 1543.92063
Pinto, Carla M. A.; Tenreiro Machado, J. A.; Burgos-Simón, Clara
1
2024
Delay-dependent robust stability analysis of uncertain fractional-order neutral systems with distributed delays and nonlinear perturbations subject to input saturation. Zbl 07677986
Aghayan, Zahra Sadat; Alfi, Alireza; Machado, J. A. Tenreiro
1
2023
Hypergeometric fractional derivatives formula of shifted Chebyshev polynomials: tau algorithm for a type of fractional delay differential equations. Zbl 07678011
Abd-Elhameed, Waleed M.; Machado, José A. Tenreiro; Youssri, Youssri H.
10
2022
Analysis of dual Bernstein operators in the solution of the fractional convection-diffusion equation arising in underground water pollution. Zbl 1472.35441
Sayevand, K.; Machado, J. Tenreiro; Masti, I.
3
2022
Numerical analysis of time-fractional Sobolev equation for fluid-driven processes in impermeable rocks. Zbl 1535.65123
Avazzadeh, Zakieh; Nikan, Omid; Tenreiro Machado, José; Rasoulizadeh, Mohammad Navaz
3
2022
Mathematical topics on modelling complex systems. In memory of Professor Valentin Afraimovich. Zbl 1493.37004
1
2022
Fractional generalization of entropy improves the characterization of rotors in simulated atrial fibrillation. Zbl 1510.92066
Ugarte, Juan P.; Tenreiro Machado, J. A.; Tobón, Catalina
1
2022
A computational view of electrophysiological properties under different atrial fibrosis conditions. Zbl 1505.92042
Ugarte, Juan P.; Tobón, Catalina; Machado, José António Tenreiro
1
2022
Numerical approximation of the nonlinear time-fractional telegraph equation arising in neutron transport. Zbl 1471.65162
Nikan, O.; Avazzadeh, Z.; Machado, J. A. Tenreiro
40
2021
Numerical solution of time-fractional fourth-order reaction-diffusion model arising in composite environments. Zbl 1481.65196
Nikan, O.; Machado, J. A. Tenreiro; Golbabai, A.
29
2021
Numerical approach for modeling fractional heat conduction in porous medium with the generalized Cattaneo model. Zbl 1481.65150
Nikan, O.; Avazzadeh, Z.; Tenreiro Machado, J. A.
25
2021
Numerical evaluation of the fractional Klein-Kramers model arising in molecular dynamics. Zbl 07511421
Nikan, O.; Machado, J. A. Tenreiro; Golbabai, A.; Rashidinia, J.
21
2021
Design of multi innovation fractional LMS algorithm for parameter estimation of input nonlinear control autoregressive systems. Zbl 1481.93148
Chaudhary, Naveed Ishtiaq; Raja, Muhammad Asif Zahoor; He, Yigang; Aslam Khan, Zeshan; Machado, J. A. Tenreiro
16
2021
Optimal control of variable-order fractional model for delay cancer treatments. Zbl 1481.92071
Sweilam, N. H.; AL-Mekhlafi, S. M.; Albalawi, A. O.; Tenreiro Machado, J. A.
16
2021
An optimization technique for solving a class of nonlinear fractional optimal control problems: application in cancer treatment. Zbl 1481.49037
Hassani, H.; Machado, J. A. Tenreiro; Mehrabi, S.
14
2021
An integro quadratic spline-based scheme for solving nonlinear fractional stochastic differential equations with constant time delay. Zbl 1455.65017
Moghaddam, B. P.; Mostaghim, Z. S.; Pantelous, Athanasios A.; Machado, J. A. Tenreiro
14
2021
Robust stability analysis of uncertain fractional order neutral-type delay nonlinear systems with actuator saturation. Zbl 1481.93105
Aghayan, Zahra Sadat; Alfi, Alireza; Tenreiro Machado, J. A.
10
2021
LMI-based stability analysis of fractional order systems of neutral type with time varying delays under actuator saturation. Zbl 1476.34110
Aghayan, Zahra Sadat; Alfi, Alireza; Machado, J. A. Tenreiro
8
2021
Numerical simulation of a degenerate parabolic problem occurring in the spatial diffusion of biological population. Zbl 1498.92004
Nikan, O.; Avazzadeh, Z.; Tenreiro Machado, J. A.
8
2021
Substantial, tempered, and shifted fractional derivatives: three faces of a tetrahedron. Zbl 1470.26012
Ortigueira, Manuel D.; Bengochea, Gabriel; Machado, J. Tenreiro
7
2021
Numerical solution of nonlinear fractional optimal control problems using generalized Bernoulli polynomials. Zbl 1475.49035
Hassani, Hossein; Machado, José António Tenreiro; Asl, Mohammad Kazem Hosseini; Dahaghin, Mohammad Shafi
6
2021
The bouncing ball and the Grünwald-Letnikov definition of fractional derivative. Zbl 1498.26014
Machado, J. A. Tenreiro
5
2021
Observer-based control approach for fractional-order delay systems of neutral type with saturating actuator. Zbl 1469.93039
Aghayan, Zahra Sadat; Alfi, Alireza; Machado, Jose Antonio Tenreiro
5
2021
Complex-order particle swarm optimization. Zbl 1454.90116
Tenreiro Machado, J. A.; Abedi Pahnehkolaei, Seyed Mehdi; Alfi, Alireza
5
2021
Multidimensional scaling analysis of generalized mean discrete-time fractional order controllers. Zbl 1458.93114
Lopes, António M.; Machado, J. A. Tenreiro
3
2021
A new hybrid method for two dimensional nonlinear variable order fractional optimal control problems. Zbl 07886819
Hassani, Hossein; Avazzadeh, Zakieh; Tenreiro Machado, José António; Naraghirad, Eskandar
3
2021
Spontaneous activation under atrial fibrosis: a model using complex order derivatives. Zbl 1457.92046
Ugarte, Juan P.; Tobón, Catalina; Saiz, Javier; Mendes Lopes, António; Machado, José A. Tenreiro
2
2021
Multidimensional scaling and visualization of patterns in distribution of nontrivial zeros of the zeta-function. Zbl 1469.11298
Machado, J. Tenreiro; Luchko, Yuri
1
2021
Cluster analysis of the large natural satellites in the solar system. Zbl 1481.85006
Mehdipour, S. Hamid; Machado, J. A. Tenreiro
1
2021
Numerical solution of variable-order fractional integro-partial differential equations via sinc collocation method based on single and double exponential transformations. Zbl 1452.65268
Babaei, A.; Moghaddam, B. P.; Banihashemi, S.; Machado, J. A. T.
41
2020
Multi-dimensional spectral tau methods for distributed-order fractional diffusion equations. Zbl 1443.65257
Zaky, Mahmoud A.; Machado, J. Tenreiro
30
2020
Numerical investigation of fractional nonlinear sine-Gordon and Klein-Gordon models arising in relativistic quantum mechanics. Zbl 1464.65151
Nikan, O.; Avazzadeh, Z.; Tenreiro Machado, J. A.
27
2020
Chebyshev spectral methods for multi-order fractional neutral pantograph equations. Zbl 1516.34016
Ezz-Eldien, S. S.; Wang, Y.; Abdelkawy, M. A.; Zaky, M. A.; Aldraiweesh, A. A.; Machado, J. Tenreiro
23
2020
The \(\psi\)-Hilfer fractional calculus of variable order and its applications. Zbl 1476.26004
Vanterler da C. Sousa, J.; Machado, J. A. Tenreiro; de Oliveira, E. Capelas
21
2020
Lyapunov method for the stability analysis of uncertain fractional-order systems under input saturation. Zbl 1481.93103
Alaviyan Shahri, Esmat Sadat; Alfi, Alireza; Machado, J. A. Tenreiro
20
2020
An innovative fractional order LMS algorithm for power signal parameter estimation. Zbl 1481.94050
Chaudhary, Naveed Ishtiaq; Latif, Rizwan; Zahoor Raja, Muhammad Asif; Machado, J. A. Tenreiro
20
2020
A computational approach for the non-smooth solution of non-linear weakly singular Volterra integral equation with proportional delay. Zbl 1436.65215
Mokhtary, P.; Moghaddam, B. P.; Lopes, A. M.; Machado, J. A. Tenreiro
17
2020
Sufficient conditions for existence and uniqueness of fractional stochastic delay differential equations. Zbl 1490.60172
Moghaddam, B. P.; Zhang, Lei; Lopes, A. M.; Tenreiro Machado, J. A.; Mostaghim, Z. S.
16
2020
Generalized shifted Chebyshev polynomials: solving a general class of nonlinear variable order fractional PDE. Zbl 1450.35267
Hassani, Hossein; Tenreiro Machado, J. A.; Avazzadeh, Zakieh; Naraghirad, E.
16
2020
Comments on: “The failure of certain fractional calculus operators in two physical models”. Zbl 1437.26008
Baleanu, Dumitru
15
2020
An efficient numerical technique for variable order time fractional nonlinear Klein-Gordon equation. Zbl 1446.65127
Hassani, H.; Machado, J. A. Tenreiro; Naraghirad, E.
14
2020
Generalized Bernoulli polynomials: solving nonlinear 2D fractional optimal control problems. Zbl 1443.93061
Hassani, H.; Machado, J. A. Tenreiro; Avazzadeh, Zakieh; Naraghirad, E.; Dahaghin, M. Sh.
11
2020
Output-feedback-guaranteed cost control of fractional-order uncertain linear delayed systems. Zbl 1463.93078
Chen, Liping; Li, Tingting; Wu, Ranchao; Lopes, António M.; Machado, J. A. Tenreiro; Wu, Kehan
11
2020
Stability analysis of fractional order neutral-type systems considering time varying delays, nonlinear perturbations, and input saturation. Zbl 1455.93147
Aghayan, Zahra Sadat; Alfi, Alireza; Machado, J. A. Tenreiro
8
2020
On the properties of some operators under the perspective of fractional system theory. Zbl 1468.34012
Ortigueira, Manuel D.; Tenreiro Machado, J.
8
2020
On dual Bernstein polynomials and stochastic fractional integro-differential equations. Zbl 1456.60167
Sayevand, Khosro; Machado, J. Tenreiro; Masti, Iman
6
2020
Solving nonlinear systems of fractional-order partial differential equations using an optimization technique based on generalized polynomials. Zbl 1476.35310
Hassani, H.; Machado, J. A. Tenreiro; Naraghirad, E.; Sadeghi, B.
4
2020
Fuzzy logic embedding of fractional order sliding mode and state feedback controllers for synchronization of uncertain fractional chaotic systems. Zbl 1449.93164
Pahnehkolaei, Seyed Mehdi Abedi; Alfi, Alireza; Machado, J. A. Tenreiro
4
2020
A combined measure to differentiate EEG signals using fractal dimension and MFDFA-Hurst. Zbl 1451.92182
David, S. A.; Machado, J. A. T.; Inácio, C. M. C.; Valentim, C. A.
4
2020
Fractional fractals. Zbl 1488.28018
Tenreiro Machado, J. A.; Cao Labora, Daniel
3
2020
Time-fractional dependence of the shear force in some beam type problems with negative Young modulus. Zbl 1481.74429
Cao Labora, Daniel; Lopes, António M.; Machado, J. A. Tenreiro
3
2020
Fractional-order modelling of epoxy resin. Zbl 1462.82087
Machado, J. A. Tenreiro; Lopes, António M.; De Camposinhos, Rui
2
2020
A numerical algorithm for solving the Cauchy singular integral equation based on Hermite polynomials. Zbl 1488.30224
Moghaddam, B. Parsa; Tenreiro Machado, J. A.; Shajari, Parisa Sattari; Salamat Mostaghim, Zeynab
2
2020
Generalized Newtonian fractional model for the vertical motion of a particle. Zbl 1481.70002
Elzahar, E. R.; Gaber, A. A.; Aljohani, A. F.; Machado, J. Tenreiro; Ebaid, A.
1
2020
Nonlinear dynamics of structures, systems and devices. Proceedings of the first international nonlinear dynamics conference, NODYCON 2019, Rome, Italy, February 17–20, 2019. Volume I. Zbl 1464.70003
1
2020
Nonlinear dynamics and control. Proceedings of the first international nonlinear dynamics conference, NODYCON 2019, Rome, Italy, February 17–20, 2019. Volume II. Zbl 1454.93003
1
2020
Application of the Euler and Runge-Kutta generalized methods for FDE and symbolic packages in the analysis of some fractional attractors. Zbl 07201330
Milici, Constantin; Machado, José Tenreiro; Drăgănescu, Gheorghe
1
2020
Abundant structures of waves in plasma transitional layer sheath. Zbl 07833171
Abdel-Gawad, H. I.; Tantawy, M.; Machado, J. A. Tenreiro
1
2020
Numerical solutions of realistic nonlinear phenomena. Selected papers of the international conference on applied mathematics in engineering (ICAME’18), Burhaniye, Turkey, June 27–29, 2018. Zbl 1448.65009
1
2020
Multidimensional scaling and visualization of patterns in prime numbers. Zbl 1476.11123
Machado, J. Tenreiro; Lopes, António M.
1
2020
Variable coefficient fractional-order PID controller and its application to a SEPIC device. Zbl 1544.93197
Chen, Liping; Chen, Gang; Wu, Ranchao; Lopes, António M.; Tenreiro Machado, José António; Niu, Haihong
1
2020
A review of definitions of fractional derivatives and other operators. Zbl 1452.26008
Sales Teodoro, G.; Tenreiro Machado, J. A.; de Oliveira, E. Capelas
132
2019
A new fractal nonlinear Burgers’ equation arising in the acoustic signals propagation. Zbl 1435.35412
Yang, Xiao-Jun; Machado, J. A. Tenreiro
56
2019
Variable order fractional systems. Zbl 1464.26007
Ortigueira, Manuel D.; Valério, Duarte; Tenreiro Machado, J.
36
2019
Introduction to fractional differential equations. Zbl 1417.34004
Milici, Constantin; Drăgănescu, Gheorghe; Machado, José António Tenreiro
34
2019
A critical analysis of the conformable derivative. Zbl 1437.26006
Abdelhakim, Ahmed A.; Machado, José A. Tenreiro
32
2019
Generalized shifted Chebyshev polynomials for fractional optimal control problems. Zbl 1462.49014
Hassani, Hossein; Tenreiro Machado, J. A.; Naraghirad, E.
31
2019
Delay-dependent criterion for asymptotic stability of a class of fractional-order memristive neural networks with time-varying delays. Zbl 1443.93108
Chen, Liping; Huang, Tingwen; Machado, J. A. Tenreiro; Lopes, António M.; Chai, Yi; Wu, Ranchao
30
2019
Numerical approach for a class of distributed order time fractional partial differential equations. Zbl 1407.65122
Moghaddam, B. P.; Machado, J. A. Tenreiro; Morgado, M. L.
27
2019
The generalized Kudryashov method for nonlinear space-time fractional partial differential equations of Burgers type. Zbl 1439.35529
Gaber, A. A.; Aljohani, A. F.; Ebaid, A.; Machado, J. Tenreiro
24
2019
Delay independent robust stability analysis of delayed fractional quaternion-valued leaky integrator echo state neural networks with QUAD condition. Zbl 1428.34020
Pahnehkolaei, Seyed Mehdi Abedi; Alfi, Alireza; Tenreiro Machado, J. A.
22
2019
Computational scheme for solving nonlinear fractional stochastic differential equations with delay. Zbl 07123588
Moghaddam, B. P.; Mendes Lopes, A.; Tenreiro Machado, J. A.; Mostaghim, Z. S.
20
2019
Delay-dependent stability analysis of the QUAD vector field fractional order quaternion-valued memristive uncertain neutral type leaky integrator echo state neural networks. Zbl 1443.93101
Pahnehkolaei, Seyed Mehdi Abedi; Alfi, Alireza; Machado, J. A. Tenreiro
19
2019
Numerical solution of mixed-type fractional functional differential equations using modified Lucas polynomials. Zbl 1449.65143
Moghaddam, B. P.; Dabiri, A.; Lopes, António M.; Machado, J. A. Tenreiro
18
2019
The failure of certain fractional calculus operators in two physical models. Zbl 1427.93054
Ortigueira, Manuel D.; Martynyuk, Valeriy; Fedula, Mykola; Machado, J. Tenreiro
16
2019
Numerical investigation of the nonlinear modified anomalous diffusion process. Zbl 1430.60091
Nikan, O.; Tenreiro Machado, J. A.; Golbabai, A.; Nikazad, T.
15
2019
A new non-standard finite difference method for analyzing the fractional Navier-Stokes equations. Zbl 1442.65177
Sayevand, K.; Machado, J. Tenreiro; Moradi, V.
13
2019
An effective numerical method for solving nonlinear variable-order fractional functional boundary value problems through optimization technique. Zbl 1430.34005
Hassani, H.; Machado, J. A. Tenreiro; Avazzadeh, Z.
12
2019
Fractional calculus. Selected papers from the international conference on fractional differentiation and its applications (ICFDA 2018), Amman, Jordan, July 16–18, 2018. Zbl 1444.26001
9
2019
A piecewise spectral-collocation method for solving fractional Riccati differential equation in large domains. Zbl 1449.65164
Azin, H.; Mohammadi, F.; Machado, J. A. Tenreiro
9
2019
Fractional-order modeling of a diode. Zbl 1464.82023
Tenreiro Machado, J. A.; Lopes, António M.
8
2019
On the numerical computation of the Mittag-Leffler function. Zbl 07168325
Ortigueira, Manuel D.; Lopes, António M.; Tenreiro Machado, José
7
2019
Fractional derivatives and negative probabilities. Zbl 1522.26007
Tenreiro Machado, J.
7
2019
Ranking the scientific output of researchers in fractional calculus. Zbl 1426.26016
Machado, J. A. Tenreiro; Lopes, António M.
4
2019
Mathematical methods in engineering. Theoretical aspects. Zbl 1397.00045
2
2019
An algorithm for the approximate solution of the fractional Riccati differential equation. Zbl 07168320
Ezz-Eldien, S. S.; Machado, J. A. T.; Wang, Y.; Aldraiweesh, A. A.
2
2019
Information analysis of the human DNA. Zbl 1430.92062
Machado, J. Tenreiro
2
2019
A survey on fractional asymptotic expansion method: a forgotten theory. Zbl 1437.34014
Sayevand, Khosro; Machado, José A. Tenreiro
2
2019
Multidimensional scaling analysis of the solar system objects. Zbl 1522.85006
Tenreiro Machado, J.; Mehdipour, S. Hamid
2
2019
Analysis of the two-dimensional fractional projectile motion in view of the experimental data. Zbl 1430.70003
Ebaid, A.; El-Zahar, E. R.; Aljohani, A. F.; Salah, Bashir; Krid, Mohammed; Machado, J. Tenreiro
1
2019
Mathematical and computational modeling of political systems. Zbl 1437.91383
Machado, J. Tenreiro
1
2019
The Lorentz transformations and one observation in the perspective of fractional calculus. Zbl 1476.83002
Cao Labora, Daniel; Lopes, António M.; Tenreiro Machado, J. A.
1
2019
On the fractional Cornu spirals. Zbl 1508.68418
Milici, Constantin; Tenreiro Machado, J.; Drăgănescu, Gheorghe
1
2019
A computational perspective of the periodic table of elements. Zbl 1476.62022
Tenreiro Machado, J.; Lopes, António M.
1
2019
Optimal variable-order fractional PID controllers for dynamical systems. Zbl 1392.49033
Dabiri, A.; Moghaddam, B. P.; Machado, J. A. Tenreiro
59
2018
A spectral framework for fractional variational problems based on fractional Jacobi functions. Zbl 06902342
Zaky, M. A.; Doha, E. H.; Tenreiro Machado, J. A.
40
2018
A critical analysis of the Caputo-Fabrizio operator. Zbl 1510.26004
Ortigueira, Manuel D.; Tenreiro Machado, J.
40
2018
A computationally efficient method for tempered fractional differential equations with application. Zbl 1405.65092
Moghaddam, Behrouz Parsa; Tenreiro Machado, J. A.; Babaei, Afshin
28
2018
Stability analysis of a class of nonlinear fractional-order systems under control input saturation. Zbl 1391.93177
Shahri, Esmat Sadat Alaviyan; Alfi, Alireza; Machado, J. A. Tenreiro
20
2018
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Cited by 6,397 Authors

208 Băleanu, Dumitru I.
208 Machado, José António Tenreiro
97 Ahmad, Bashir
56 Ntouyas, Sotiris K.
48 Al-saedi, Ahmed Eid Salem
48 Yang, Xiao-Jun
47 Abdeljawad, Thabet
45 Lopes, António M.
45 Tarasov, Vasily E.
42 Zaky, Mahmoud A.
40 Nieto Roig, Juan Jose
39 Avazzadeh, Zakieh
37 Benchohra, Mouffak
36 de Oliveira, Edmundo Capelas
36 Vanterler da Costa Sousa, José
35 Razzaghi, Mohsen
34 Ordokhani, Yadollah
34 Wang, Jinrong
33 Agarwal, Ravi P.
33 Shah, Kamal
33 Torres, Delfim Fernando Marado
30 Heydari, Mohammad Hossein
29 Chen, Yangquan
28 Kumar, Devendra
28 Wang, Guotao
26 Doha, Eid H.
26 Nikan, Omid
25 Agarwal, Praveen
25 Jafari, Hossein
25 Luca, Rodica
25 Singh, Jagdev
24 Abdelkawy, Mohamed A.
24 Cao, Jinde
24 Sayevand, Khosro
23 Atangana, Abdon
23 Ibrahim, Rabha Waell
23 Srivastava, Hari Mohan
22 Zhang, Lihong
22 Zhou, Yong
21 Salahshour, Soheil
21 Trujillo, Juan J.
20 Alfi, Alireza
20 Gómez-Aguilar, José Francisco
20 Hendy, Ahmed S.
20 Veeresha, Pundikala
19 Bhrawy, Ali Hassan
19 Ezz-Eldien, Samer S.
19 Fernandez, Arran
19 Moghaddam, Behrouz Parsa
19 Rezapour, Shahram
18 Ahmadian, Ali
18 Cattani, Carlo
18 Youssri, Youssri H.
17 Baskonus, Haci Mehmet
17 Ortigueira, Manuel D.
17 Salim, Abdelkrim
17 Shang, Pengjian
16 Hassani, Hossein
16 Henderson, Johnny Lee
16 Lazreg, Jamal Eddine
16 Liu, Fawang
16 Usman, Muhammad
16 Zada, Akbar
15 Kumar, Sunil
15 Nguyen Huy Tuan
15 Tavazoei, Mohammad Saleh
15 Vijayakumar, Velusamy
15 Yu, Yongguang
14 Abdo, Mohammed Salem
14 Balachandran, Krishnan
14 Dehestani, Haniye
14 Hamid, Muhammad
14 Jarad, Fahd
14 Lu, Junguo
14 Momani, Shaher M.
14 Prakasha, Doddabhadrappla Gowda
14 Raja, Muhammad Asif Zahoor
14 Tariboon, Jessada
14 Wu, Ranchao
13 Akgül, Ali
13 Chen, Liping
13 Haeri, Mohammad
13 Inc, Mustafa
13 Khan, Rahmat Ali
13 Li, Changpin
13 Malik, Salman A.
13 O’Regan, Donal
13 Ravichandran, Chokkalingam
13 Torres Ledesma, César Enrique
13 ur Rehman, Mujeeb
13 Zhao, Yang
12 Abbas, Said
12 Abd-Elhameed, Waleed Mohamed
12 Bettayeb, Maamar
12 Dehghan Takht Fooladi, Mehdi
12 Fečkan, Michal
12 Golmankhaneh, Alireza Khalili
12 Jiang, Wei
12 Qiu, Wenlin
12 Sooppy Nisar, Kottakkaran
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Cited in 402 Serials

234 Communications in Nonlinear Science and Numerical Simulation
234 Advances in Difference Equations
221 Mathematical Methods in the Applied Sciences
178 Nonlinear Dynamics
177 Computational and Applied Mathematics
172 Chaos, Solitons and Fractals
157 Fractional Calculus & Applied Analysis
140 Applied Mathematics and Computation
117 Computers & Mathematics with Applications
102 Abstract and Applied Analysis
99 Fractals
93 Journal of Computational and Applied Mathematics
75 Mathematical Problems in Engineering
66 Applied Mathematical Modelling
61 Applied Numerical Mathematics
58 International Journal of Applied and Computational Mathematics
56 Mathematics and Computers in Simulation
56 Asian Journal of Control
55 Physica A
51 Journal of Function Spaces
50 Journal of the Franklin Institute
50 Boundary Value Problems
46 Numerical Methods for Partial Differential Equations
45 International Journal of Nonlinear Sciences and Numerical Simulation
43 Journal of Applied Mathematics and Computing
41 Chaos
39 Advances in Mathematical Physics
33 Journal of Applied Analysis and Computation
33 International Journal of Systems Science. Principles and Applications of Systems and Integration
32 AIMS Mathematics
31 Mathematical Sciences
30 Discrete Dynamics in Nature and Society
29 Journal of Vibration and Control
29 Journal of Nonlinear Science and Applications
28 Computational Methods for Differential Equations
27 Applied Mathematics Letters
27 International Journal of Computer Mathematics
27 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
27 Discrete and Continuous Dynamical Systems. Series S
24 Automatica
24 Numerical Algorithms
23 International Journal of Robust and Nonlinear Control
22 Journal of Computational Physics
22 Journal of Optimization Theory and Applications
22 Circuits, Systems, and Signal Processing
22 Neural Networks
22 Mediterranean Journal of Mathematics
20 Optimal Control Applications & Methods
20 Complexity
20 Engineering Analysis with Boundary Elements
18 Differential Equations and Dynamical Systems
18 Qualitative Theory of Dynamical Systems
18 Nonlinear Analysis. Modelling and Control
18 Chinese Journal of Physics (Taipei)
18 Journal of Applied Nonlinear Dynamics
16 Signal Processing
15 Journal of Scientific Computing
15 International Journal of Biomathematics
14 Physics Letters. A
14 Rendiconti del Circolo Matemàtico di Palermo. Serie II
14 Journal of Inequalities and Applications
14 International Journal of Differential Equations
14 Fractional Differential Calculus
13 Journal of Mathematical Physics
13 Journal of Applied Mathematics
13 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
13 Results in Applied Mathematics
12 Journal of Mathematical Analysis and Applications
12 IET Control Theory & Applications
12 Journal of Mathematical Extension
11 Meccanica
11 Archives of Control Sciences
11 Filomat
11 Entropy
11 Open Mathematics
10 International Journal of Theoretical Physics
10 International Journal of Applied Mathematics and Computer Science
10 Applied Mathematics E-Notes
10 S\(\vec{\text{e}}\)MA Journal
10 Evolution Equations and Control Theory
9 Acta Mechanica
9 Lobachevskii Journal of Mathematics
9 Mathematical Modelling of Natural Phenomena
8 International Journal of Modern Physics B
8 International Journal of Control
8 International Journal of Adaptive Control and Signal Processing
8 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
8 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
8 Tbilisi Mathematical Journal
8 Communications in Theoretical Physics
8 Mathematics
8 Journal of Mathematical Modeling
8 Iranian Journal of Numerical Analysis and Optimization
8 Communications on Applied Mathematics and Computation
7 Rocky Mountain Journal of Mathematics
7 Demonstratio Mathematica
7 Turkish Journal of Mathematics
7 Mathematical Modelling and Analysis
7 Waves in Random and Complex Media
7 Journal of Physics A: Mathematical and Theoretical
...and 302 more Serials
all top 5

Cited in 53 Fields

2,062 Ordinary differential equations (34-XX)
1,547 Real functions (26-XX)
1,273 Partial differential equations (35-XX)
1,182 Numerical analysis (65-XX)
794 Systems theory; control (93-XX)
403 Operator theory (47-XX)
352 Biology and other natural sciences (92-XX)
311 Integral equations (45-XX)
219 Special functions (33-XX)
203 Calculus of variations and optimal control; optimization (49-XX)
195 Dynamical systems and ergodic theory (37-XX)
160 Fluid mechanics (76-XX)
146 Information and communication theory, circuits (94-XX)
127 Probability theory and stochastic processes (60-XX)
122 Mechanics of deformable solids (74-XX)
113 Integral transforms, operational calculus (44-XX)
110 Mechanics of particles and systems (70-XX)
107 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
96 Difference and functional equations (39-XX)
87 Statistical mechanics, structure of matter (82-XX)
79 Approximations and expansions (41-XX)
75 Computer science (68-XX)
65 Operations research, mathematical programming (90-XX)
63 Harmonic analysis on Euclidean spaces (42-XX)
57 Measure and integration (28-XX)
57 Statistics (62-XX)
47 Optics, electromagnetic theory (78-XX)
33 Classical thermodynamics, heat transfer (80-XX)
33 Quantum theory (81-XX)
27 Functional analysis (46-XX)
26 Geophysics (86-XX)
22 Functions of a complex variable (30-XX)
21 Number theory (11-XX)
21 Global analysis, analysis on manifolds (58-XX)
16 Linear and multilinear algebra; matrix theory (15-XX)
11 History and biography (01-XX)
11 Combinatorics (05-XX)
10 Relativity and gravitational theory (83-XX)
8 General and overarching topics; collections (00-XX)
7 Sequences, series, summability (40-XX)
7 General topology (54-XX)
6 Several complex variables and analytic spaces (32-XX)
6 Differential geometry (53-XX)
6 Mathematics education (97-XX)
5 Topological groups, Lie groups (22-XX)
5 Potential theory (31-XX)
5 Astronomy and astrophysics (85-XX)
3 Abstract harmonic analysis (43-XX)
2 Mathematical logic and foundations (03-XX)
2 Group theory and generalizations (20-XX)
2 Algebraic topology (55-XX)
1 Commutative algebra (13-XX)
1 Algebraic geometry (14-XX)

Citations by Year

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