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## Communications in Nonlinear Science and Numerical Simulation

 Short Title: Commun. Nonlinear Sci. Numer. Simul. Publisher: Elsevier, Amsterdam ISSN: 1007-5704 Online: https://www.sciencedirect.com/journal/communications-in-nonlinear-science-and-numerical-simulation/issues
 Documents Indexed: 5,459 Publications (since 1996) References Indexed: 5,116 Publications with 155,854 References.
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#### Authors

 46 Machado, José António Tenreiro 34 Hayat, Tasawar 32 Guo, Boling 30 Băleanu, Dumitru I. 30 Biswas, Anjan 28 Sanjuán, Miguel A. F. 28 Wazwaz, Abdul-Majid Abdul-Rahman 27 Luo, Albert C. J. 26 Ibragimov, Nail Hairullovich 25 Shang, Pengjian 23 Kudryashov, Nikolaĭ Alekseevich 23 Liao, Shijun 23 Tian, Bo 22 Meleshko, Sergey V. 21 Abbasbandy, Saeid 20 Xu, Wei 20 Zhong, Shou-Ming 18 Yu, Pei 17 Malomed, Boris A. 17 Rand, Richard H. 16 Chen, Guanrong 16 Macías-Díaz, Jorge Eduardo 15 Cao, Jinde 15 Gandarias Núñez, Maria Luz 15 Tarasov, Vasily E. 15 Vajravelu, Kuppalapalle 15 Wang, Jinrong 14 Chen, Lansun 14 He, Jihuan 14 Wang, Jiang 14 Wang, Ke 13 Awrejcewicz, Jan 13 Li, Yongkun 13 Ma, Jun 13 Ruan, Jiong 13 Wang, Xingyuan 13 Yamapi, René 12 Bowong, Samuel 12 Deng, Bin 12 Khalique, Chaudry Masood 12 Lü, Xing 12 Ma, Wen-Xiu 12 Maleknejad, Khosrow 12 Sun, Jianqiao 12 Tian, Lixin 12 van Gorder, Robert Ashton 11 Asghar, Saleem 11 Chen, Guoqian 11 Chen, Yong 11 Fu, Xilin 11 He, Jingsong 11 Kim, Junseok 11 Kofané, Timoléon Crépin 11 Li, Houqiang 11 Lin, Chang 11 Ma, Junhai 11 Noorani, Mohd Salmi Mohd 11 O’Regan, Donal 11 Pop, Ioan 11 Wei, Xile 11 Woafo, Paul 11 Zaslavskiĭ, Georgiĭ Moiseevich 11 Zhang, Hongqing 10 Akhmet, Marat Ubaydulla 10 Algaba, Antonio 10 Balasubramaniam, Pagavathigounder 10 Batista, Antonio Marcos 10 Bi, Qinsheng 10 Dehghan Takht Fooladi, Mehdi 10 Fečkan, Michal 10 Kevrekidis, Panayotis G. 10 Kurths, Jürgen 10 Li, Xiaodi 10 Liao, Xiaofeng 10 Lopes, António M. 10 Masdemont, Josep J. 10 Ramm, Alexander G. 10 Ryashko, Lev Borisovich 10 Tchawoua, Clement 10 Wong, Kwokwo 10 Xiao, Di 9 Agarwal, Ravi P. 9 Ayub, Muhammad 9 Bashkirtseva, Irina Adol’fovna 9 Bruzón, Maria Santos 9 Butcher, Eric A. 9 Cao, Hongjun 9 Fang, Tiegang 9 Gao, Yitian 9 Gómez, Gerard 9 Hashim, Ishak 9 Kovacic, Ivana 9 Liu, Xinzhi 9 Lu, Qishao 9 Nigmatullin, Raoul R. 9 Ortigueira, Manuel D. 9 Pal, Dulal 9 Park, Juhyun (Jessie) 9 Piqueira, José Roberto Castilho 9 Sophocleous, Christodoulos ...and 8,260 more Authors
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#### Fields

 1,443 Partial differential equations (35-XX) 1,225 Ordinary differential equations (34-XX) 1,175 Dynamical systems and ergodic theory (37-XX) 763 Biology and other natural sciences (92-XX) 709 Numerical analysis (65-XX) 707 Fluid mechanics (76-XX) 641 Systems theory; control (93-XX) 382 Mechanics of particles and systems (70-XX) 302 Mechanics of deformable solids (74-XX) 291 Statistical mechanics, structure of matter (82-XX) 225 Probability theory and stochastic processes (60-XX) 223 Information and communication theory, circuits (94-XX) 202 Real functions (26-XX) 192 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 188 Optics, electromagnetic theory (78-XX) 164 General and overarching topics; collections (00-XX) 161 Computer science (68-XX) 137 Operations research, mathematical programming (90-XX) 117 Statistics (62-XX) 117 Classical thermodynamics, heat transfer (80-XX) 110 Quantum theory (81-XX) 79 Integral equations (45-XX) 76 Geophysics (86-XX) 74 Calculus of variations and optimal control; optimization (49-XX) 63 Operator theory (47-XX) 62 Difference and functional equations (39-XX) 48 Special functions (33-XX) 44 Measure and integration (28-XX) 37 Combinatorics (05-XX) 37 Astronomy and astrophysics (85-XX) 28 Global analysis, analysis on manifolds (58-XX) 22 Harmonic analysis on Euclidean spaces (42-XX) 21 Relativity and gravitational theory (83-XX) 19 Linear and multilinear algebra; matrix theory (15-XX) 19 Approximations and expansions (41-XX) 19 Integral transforms, operational calculus (44-XX) 11 Number theory (11-XX) 11 Nonassociative rings and algebras (17-XX) 11 Differential geometry (53-XX) 10 Functions of a complex variable (30-XX) 9 General topology (54-XX) 6 Functional analysis (46-XX) 5 History and biography (01-XX) 4 Mathematical logic and foundations (03-XX) 4 Topological groups, Lie groups (22-XX) 2 Field theory and polynomials (12-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Sequences, series, summability (40-XX) 2 Mathematics education (97-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Potential theory (31-XX) 1 Abstract harmonic analysis (43-XX)

#### Citations contained in zbMATH Open

3,313 Publications have been cited 26,644 times in 16,918 Documents Cited by Year
Recent history of fractional calculus. Zbl 1221.26002
Tenreiro Machado, J.; Kiryakova, Virginia; Mainardi, Francesco
2011
Notes on the homotopy analysis method: some definitions and theorems. Zbl 1221.65126
Liao, Shijun
2009
Homotopy analysis method for fractional IVPs. Zbl 1221.65277
Hashim, I.; Abdulaziz, O.; Momani, S.
2009
On the concept and existence of solution for impulsive fractional differential equations. Zbl 1252.35277
Fečkan, Michal; Zhou, Yong; Wang, Jinrong
2012
An optimal homotopy-analysis approach for strongly nonlinear differential equations. Zbl 1222.65088
Liao, Shijun
2010
Using general quadratic Lyapunov functions to prove Lyapunov uniform stability for fractional order systems. Zbl 1333.34007
Duarte-Mermoud, Manuel A.; Aguila-Camacho, Norelys; Gallegos, Javier A.; Castro-Linares, Rafael
2015
Fractional calculus in viscoelasticity: an experimental study. Zbl 1221.74012
Meral, F. C.; Royston, T. J.; Magin, R.
2010
Homotopy analysis method for quadratic Riccati differential equation. Zbl 1132.34305
Tan, Yue; Abbasbandy, Saeid
2008
One method for finding exact solutions of nonlinear differential equations. Zbl 1250.35055
Kudryashov, Nikolay A.
2012
Seven common errors in finding exact solutions of nonlinear differential equations. Zbl 1221.35342
Kudryashov, Nikolai A.
2009
An analytic solution of unsteady boundary-layer flows caused by an impulsively stretching plate. Zbl 1078.76022
Liao, Shijun
2006
On the numerical solutions for the fractional diffusion equation. Zbl 1221.65263
2011
Necessary and sufficient conditions for the fractional calculus of variations with Caputo derivatives. Zbl 1221.49038
Almeida, Ricardo; Torres, Delfim F. M.
2011
The existence of multiple positive solutions for boundary value problems of nonlinear fractional differential equations. Zbl 1221.34068
Zhao, Yige; Sun, Shurong; Han, Zhenlai; Li, Qiuping
2011
Synchronization of the fractional order hyperchaos Lorenz systems with activation feedback control. Zbl 1221.93091
Wang, Xing-Yuan; Song, Jun-Mei
2009
The sinc-Legendre collocation method for a class of fractional convection-diffusion equations with variable coefficients. Zbl 1250.65121
2012
Solving a nonlinear fractional differential equation using Chebyshev wavelets. Zbl 1222.65087
Li, Yuanlu
2010
Fractional Poisson process. Zbl 1025.35029
2003
New solitons and kink solutions for the Gardner equation. Zbl 1118.35352
Wazwaz, Abdul-Majid
2007
Solving fractional nonlinear Fredholm integro-differential equations by the second kind Chebyshev wavelet. Zbl 1335.45002
Zhu, Li; Fan, Qibin
2012
No violation of the Leibniz rule. No fractional derivative. Zbl 1329.26015
Tarasov, Vasily E.
2013
Solving fuzzy fractional differential equations by fuzzy Laplace transforms. Zbl 1245.35146
Salahshour, S.; Allahviranloo, T.; Abbasbandy, S.
2012
On control and synchronization in chaotic and hyperchaotic systems via linear feedback control. Zbl 1221.93230
Rafikov, Marat; Balthazar, José Manoel
2008
Be careful with the Exp-function method. Zbl 1221.35344
Kudryashov, Nikolai A.; Loguinova, Nadejda B.
2009
The uniqueness of positive solution for a singular fractional differential system involving derivatives. Zbl 1283.34006
Zhang, Xinguang; Liu, Lishan; Wu, Yonghong
2013
Stability analysis of a prey-predator model incorporating a prey refuge. Zbl 1064.92045
Kar, Tapan Kumar
2005
Application of generalized differential transform method to multi-order fractional differential equations. Zbl 1221.34022
Erturk, Vedat Suat; Momani, Shaher; Odibat, Zaid
2008
The Legendre wavelet method for solving fractional differential equations. Zbl 1222.65063
Ur Rehman, Mujeeb; Ali Khan, Rahmat
2011
Application of simplest equations of Bernoulli and Riccati kind for obtaining exact traveling-wave solutions for a class of PDEs with polynomial nonlinearity. Zbl 1222.35062
Vitanov, Nikolay K.
2010
Some applications of fractional equations. Zbl 1041.35073
Weitzner, H.; Zaslavsky, G. M.
2003
Synchronization of different fractional order chaotic systems using active control. Zbl 1222.94031
Bhalekar, Sachin; Daftardar-Gejji, Varsha
2010
The construction of operational matrix of fractional derivatives using B-spline functions. Zbl 1276.65015
Lakestani, Mehrdad; Dehghan, Mehdi; Irandoust-Pakchin, Safar
2012
Homotopy analysis method for solving linear and nonlinear fractional diffusion-wave equation. Zbl 1221.65278
Jafari, H.; Seifi, S.
2009
A chaotic secure communication scheme using fractional chaotic systems based on an extended fractional Kalman filter. Zbl 1221.94049
Kiani-B, Arman; Fallahi, Kia; Pariz, Naser; Leung, Henry
2009
A pseudo-spectral scheme for the approximate solution of a family of fractional differential equations. Zbl 1226.65062
Esmaeili, Shahrokh; Shamsi, M.
2011
A theory for synchronization of dynamical systems. Zbl 1221.37218
Luo, Albert C. J.
2009
Design of sliding mode controller for a class of fractional-order chaotic systems. Zbl 1248.93041
Yin, Chun; Zhong, Shou-ming; Chen, Wu-fan
2012
Lie symmetry analysis to the time fractional generalized fifth-order KdV equation. Zbl 1304.35624
Wang, Gang-wei; Liu, Xi-qiang; Zhang, Ying-yuan
2013
On “new travelling wave solutions” of the KdV and the KdV-Burgers equations. Zbl 1221.35343
Kudryashov, Nikolai A.
2009
The tanh and the sine-cosine methods for a reliable treatment of the modified equal width equation and its variants. Zbl 1078.35108
Wazwaz, Abdul-Majid
2006
New travelling wave solutions to the Boussinesq and the Klein-Gordon equations. Zbl 1221.35372
Wazwaz, Abdul-Majid
2008
Positive solutions to singular fractional differential system with coupled boundary conditions. Zbl 1329.34010
Jiang, Jiqiang; Liu, Lishan; Wu, Yonghong
2013
Effect of Deborah number and phase difference on peristaltic transport of a third-order fluid in an asymmetric channel. Zbl 1127.76069
Haroun, Mohamed H.
2007
New concepts and results in stability of fractional differential equations. Zbl 1252.35276
Wang, Jinrong; Lv, Linli; Zhou, Yong
2012
How to impose physically coherent initial conditions to a fractional system? Zbl 1221.34019
Sabatier, Jocelyn; Merveillaut, Mathieu; Malti, Rachid; Oustaloup, Alain
2010
The effect of constant and pulse vaccination on SIS epidemic models incorporating media coverage. Zbl 1221.34034
Li, Yongfeng; Cui, Jingan
2009
Lyapunov functions for fractional order systems. Zbl 07175104
Aguila-Camacho, Norelys; Duarte-Mermoud, Manuel A.; Gallegos, Javier A.
2014
Approximate controllability of nonlinear fractional dynamical systems. Zbl 1344.93019
Sakthivel, R.; Ganesh, R.; Ren, Yong; Anthoni, S. M.
2013
Fractional dynamics of systems with long-range interaction. Zbl 1106.35103
Tarasov, Vasily E.; Zaslavsky, George M.
2006
On the selection of auxiliary functions, operators, and convergence control parameters in the application of the homotopy analysis method to nonlinear differential equations: a general approach. Zbl 1221.65208
Van Gorder, Robert A.; Vajravelu, K.
2009
Existence results for fractional impulsive integrodifferential equations in Banach spaces. Zbl 1221.34215
Balachandran, K.; Kiruthika, S.; Trujillo, J. J.
2011
Modified fractional Euler method for solving fuzzy fractional initial value problem. Zbl 1253.35208
2013
An approximate solution technique depending on an artificial parameter: A special example. Zbl 0921.35009
He, Jihuan
1998
A CAS wavelet method for solving nonlinear Fredholm integro-differential equations of fractional order. Zbl 1221.65354
Saeedi, H.; Moghadam, M. Mohseni; Mollahasani, N.; Chuev, G. N.
2011
A sliding mode control for linear fractional systems with input and state delays. Zbl 1221.93048
Si-Ammour, Amar; Djennoune, Said; Bettayeb, Maamar
2009
Complete controllability of fractional evolution systems. Zbl 1248.93029
Wang, Jinrong; Zhou, Yong
2012
A class of fractional delay nonlinear integrodifferential controlled systems in Banach spaces. Zbl 1223.45007
Wang, Jinrong; Zhou, Yong; Wei, W.
2011
Delay-dependent robust exponential state estimation of Markovian jumping fuzzy Hopfield neural networks with mixed random time-varying delays. Zbl 1221.93254
Balasubramaniam, P.; Vembarasan, V.; Rakkiyappan, R.
2011
Adiabatic parameter dynamics of perturbed solitary waves. Zbl 1221.35321
Antonova, Mariana; Biswas, Anjan
2009
Finite-time chaos control via nonsingular terminal sliding mode control. Zbl 1221.37225
Wang, Hua; Han, Zheng-Zhi; Xie, Qi-Yue; Zhang, Wei
2009
Finite-time synchronization control of complex dynamical networks with time delay. Zbl 1311.34157
Mei, Jun; Jiang, Minghui; Xu, Wangming; Wang, Bin
2013
The Lie-group shooting method for solving the Bratu equation. Zbl 1222.65067
Abbasbandy, S.; Hashemi, M. S.; Liu, Chein-Shan
2011
Solution of the MHD Falkner-Skan flow by homotopy analysis method. Zbl 1221.76133
Abbasbandy, S.; Hayat, T.
2009
Meromorphic solutions of nonlinear ordinary differential equations. Zbl 1222.35160
Kudryashov, Nikolai A.
2010
Wavelets method for solving systems of nonlinear singular fractional Volterra integro-differential equations. Zbl 1344.65126
Heydari, M. H.; Hooshmandasl, M. R.; Mohammadi, F.; Cattani, C.
2014
Computational method based on Bernstein operational matrices for nonlinear Volterra-Fredholm-Hammerstein integral equations. Zbl 1244.65243
2012
Caputo $$q$$-fractional initial value problems and a $$q$$-analogue Mittag-Leffler function. Zbl 1231.26006
2011
A new collection of real world applications of fractional calculus in science and engineering. Zbl 07265270
Sun, HongGuang; Zhang, Yong; Baleanu, Dumitru; Chen, Wen; Chen, YangQuan
2018
Solving a system of nonlinear fractional partial differential equations using homotopy analysis method. Zbl 1221.35439
Jafari, H.; Seifi, S.
2009
Numerical solution of the delay differential equations of pantograph type via Chebyshev polynomials. Zbl 1266.65115
Sedaghat, S.; Ordokhani, Y.; Dehghan, Mehdi
2012
A Jacobi-Gauss collocation method for solving nonlinear Lane-Emden type equations. Zbl 1244.65099
Bhrawy, Ali H.; Alofi, A. S.
2012
On shifted Jacobi spectral method for high-order multi-point boundary value problems. Zbl 1251.65112
Doha, E. H.; Bhrawy, A. H.; Hafez, R. M.
2012
Synchronization of the unified chaotic system and application in secure communication. Zbl 1221.94047
Grzybowski, J. M. V.; Rafikov, M.; Balthazar, J. M.
2009
The extended tanh method for the Zakharov-Kuznetsov (ZK) equation, the modified ZK equation, and its generalized forms. Zbl 1221.35373
Wazwaz, Abdul-Majid
2008
Bifurcations of fuzzy nonlinear dynamical systems. Zbl 1078.37049
Hong, Ling; Sun, Jian-Qiao
2006
Impulsive controller design for exponential synchronization of chaotic neural networks with mixed delays. Zbl 1286.34106
Li, Xiaodi; Rakkiyappan, R.
2013
Two positive solutions for $$(n - 1,1)$$-type semipositone integral boundary value problems for coupled systems of nonlinear fractional differential equations. Zbl 1248.35225
Yuan, Chengjun
2012
Adaptive synchronization under almost every initial data for stochastic neural networks with time-varying delays and distributed delays. Zbl 1221.93247
Zhu, Quanxin; Cao, Jinde
2011
Homotopy analysis method for singular IVPs of Emden-Fowler type. Zbl 1221.65197
Bataineh, A. Sami; Noorani, M. S. M.; Hashim, I.
2009
Closed-form exact solutions of MHD viscous flow over a shrinking sheet. Zbl 1221.76142
Fang, Tiegang; Zhang, Ji
2009
Viscous flow over a shrinking sheet with a second order slip flow model. Zbl 1222.76028
Fang, Tiegang; Yao, Shanshan; Zhang, Ji; Aziz, Abdul
2010
A new spectral-homotopy analysis method for solving a nonlinear second order BVP. Zbl 1222.65090
Motsa, S. S.; Sibanda, P.; Shateyi, S.
2010
Exponential stability of second-order stochastic evolution equations with Poisson jumps. Zbl 1273.60077
Sakthivel, R.; Ren, Y.
2012
On the $$\psi$$-Hilfer fractional derivative. Zbl 07265164
Vanterler da C. Sousa, J.; Capelas de Oliveira, E.
2018
Robust stabilization and synchronization of a class of fractional-order chaotic systems via a novel fractional sliding mode controller. Zbl 1248.93146
2012
Comparison of homotopy analysis method and homotopy perturbation method through an evolution equation. Zbl 1221.65281
Liang, Songxin; Jeffrey, David J.
2009
A new method of finding the fractional Euler-Lagrange and Hamilton equations within Caputo fractional derivatives. Zbl 1221.34008
Baleanu, Dumitru; Trujillo, Juan I.
2010
A new approach to the numerical solution of Volterra integral equations by using Bernstein’s approximation. Zbl 1221.65334
2011
A collocation-shooting method for solving fractional boundary value problems. Zbl 1222.65078
Al-Mdallal, Qasem M.; Syam, Muhammed I.; Anwar, M. N.
2010
Anti-synchronization control of a class of memristive recurrent neural networks. Zbl 1279.94157
Wu, Ailong; Zeng, Zhigang
2013
Numerical solution of nonlinear Volterra integro-differential equations of arbitrary order by CAS wavelets. Zbl 1221.65140
2011
A theory for non-smooth dynamic systems on the connectable domains. Zbl 1065.34007
Luo, Albert C. J.
2005
Multiplicity of solutions for nonlinear second order impulsive differential equations with linear derivative dependence via variational methods. Zbl 1251.34046
Xiao, Jing; Nieto, Juan J.; Luo, Zhiguo
2012
Robust finite-time $$H_{\infty }$$ control for a class of uncertain switched neutral systems. Zbl 1239.93036
Xiang, Zhengrong; Sun, Ya-Nan; Mahmoud, Magdi S.
2012
The variational iteration method for solving nonlinear singular boundary value problems arising in various physical models. Zbl 1221.65178
Wazwaz, Abdul-Majid
2011
Chaos, feedback control and synchronization of a fractional-order modified autonomous Van der Pol-Duffing circuit. Zbl 1221.93227
Matouk, A. E.
2011
The existence of solutions for boundary value problem of fractional hybrid differential equations. Zbl 1352.34011
Sun, Shurong; Zhao, Yige; Han, Zhenlai; Li, Yanan
2012
On the design of chaos-based secure communication systems. Zbl 1225.94002
Zaher, Ashraf A.; Abu-Rezq, Abdulnasser
2011
Global stability of a nonlinear stochastic predator-prey system with Beddington-DeAngelis functional response. Zbl 1221.34152
Liu, Meng; Wang, Ke
2011
Cnoidal and snoidal wave solutions to coupled nonlinear wave equations by the extended Jacobi’s elliptic function method. Zbl 1261.35044
Bhrawy, A. H.; Abdelkawy, M. A.; Biswas, Anjan
2013
An investigation of nonlinear time-fractional anomalous diffusion models for simulating transport processes in heterogeneous binary media. Zbl 1452.76227
Feng, Libo; Turner, Ian; Perré, Patrick; Burrage, Kevin
2021
Numerical analysis of multi-term time-fractional nonlinear subdiffusion equations with time delay: what could possibly go wrong? Zbl 1466.65086
Zaky, Mahmoud A.; Hendy, Ahmed S.; Alikhanov, Anatoly A.; Pimenov, Vladimir G.
2021
Numerical approximation of the nonlinear time-fractional telegraph equation arising in neutron transport. Zbl 07348055
2021
Convergence of a generalized penalty method for variational-hemivariational inequalities. Zbl 07274884
Zeng, Shengda; Migórski, Stanisław; Liu, Zhenhai; Yao, Jen-Chih
2021
(INVITED) Homoclinic puzzles and chaos in a nonlinear laser model. Zbl 1466.78019
Pusuluri, Krishna; Meijer, H. G. E.; Shilnikov, A. L.
2021
Bistable labyrinth-like structures and chimera states in a 2D lattice of van der Pol oscillators. Zbl 1456.34035
Shepelev, Igor A.; Anishchenko, V. S.
2021
Nonlinear stability issues for stochastic Runge-Kutta methods. Zbl 1455.65014
D&rsquo;Ambrosio, Raffaele; Di Giovacchino, Stefano
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.; Tenreiro Machado, J. A.
2021
A robust and contact preserving flux splitting scheme for compressible flows. Zbl 1452.65190
Hu, Lijun; Feng, Sebert
2021
CAR T cell therapy in B-cell acute lymphoblastic leukaemia: insights from mathematical models. Zbl 1461.92043
León-Triana, Odelaisy; Sabir, Soukaina; Calvo, Gabriel F.; Belmonte-Beitia, Juan; Chulián, Salvador; Martínez-Rubio, Álvaro; Rosa, María; Pérez-Martínez, Antonio; Ramirez-Orellana, Manuel; Pérez-García, Víctor M.
2021
Dynamic transport: from bifurcation to multistability. Zbl 1458.37089
Li, Chunbiao; Chen, Guanrong; Kurths, Jürgen; Lei, Tengfei; Liu, Zuohua
2021
Introducing phase jump tracking – a fast method for eigenvalue evaluation of the direct Zakharov-Shabat problem. Zbl 1462.35348
Chekhovskoy, Igor; Medvedev, S. B.; Vaseva, I. A.; Sedov, E. V.; Fedoruk, M. P.
2021
Trivariate Mittag-Leffler functions used to solve multi-order systems of fractional differential equations. Zbl 1464.34005
Ahmadova, Arzu; Huseynov, Ismail T.; Fernandez, Arran; Mahmudov, Nazim I.
2021
Fast dissipation-preserving difference scheme for nonlinear generalized wave equations with the integral fractional Laplacian. Zbl 07348061
Hu, Dongdong; Cai, Wenjun; Fu, Yayun; Wang, Yushun
2021
Solving coefficient inverse problems for nonlinear singularly perturbed equations of the reaction-diffusion-advection type with data on the position of a reaction front. Zbl 07348082
Lukyanenko, D. V.; Borzunov, A. A.; Shishlenin, M. A.
2021
Non-Debye relaxations: smeared time evolution, memory effects, and the Laplace exponents. Zbl 07348093
Górska, K.; Horzela, A.; Pogány, T. K.
2021
Necklace beams carrying fractional angular momentum in fractional systems with a saturable nonlinearity. Zbl 1462.81077
Dong, Liangwei; Liu, Dongshuai; Qi, Wei; Wang, Linxue; Zhou, Hui; Peng, Ping; Huang, Changming
2021
Complex-order particle swarm optimization. Zbl 1454.90116
Tenreiro Machado, J. A.; Abedi Pahnehkolaei, Seyed Mehdi; Alfi, Alireza
2021
Synchronization analysis of two eccentric rotors with double-frequency excitation considering sliding mode control. Zbl 1453.93041
Zou, Min; Fang, Pan; Hou, Yongjun; Wang, Yuanguo; Hou, Duyu; Peng, Huan
2021
Spatiotemporal pattern formation in 2D prey-predator system with nonlocal intraspecific competition. Zbl 1452.35223
Pal, Swadesh; Petrovskii, Sergei; Ghorai, S.; Banerjee, Malay
2021
Relaxation modes of a system of diffusion coupled oscillators with delay. Zbl 1458.34122
Kashchenko, A. A.
2021
Characterization of long-term behavior of stochastic NP ecological model under regime switching. Zbl 1458.34094
Tuong, Tran D.; Nguyen, Nhu N.
2021
Müntz pseudo-spectral method: theory and numerical experiments. Zbl 1453.65358
Khosravian-Arab, Hassan; Eslahchi, M. R.
2021
Solitons and cavitons in a nonlocal Whitham equation. Zbl 1456.76032
Kulagin, N.; Lerman, L.; Malkin, A.
2021
Analysis of mixed traffic with connected and non-connected vehicles based on lattice hydrodynamic model. Zbl 1453.82048
Zhang, Yicai; Zhao, Min; Sun, Dihua; Wang, Shi hui; Huang, Shuai; Chen, Dong
2021
Uncertain inverse problem for fractional dynamical systems using perturbed collage theorem. Zbl 1455.65113
Salahshour, Soheil; Ahmadian, Ali; Pansera, Bruno A.; Ferrara, Massimiliano
2021
Traveling chimera states in continuous media. Zbl 1455.74010
Alvarez-Socorro, Alejandro J.; Clerc, M. G.; Verschueren, N.
2021
Lie symmetry analysis, optimal system, new solitary wave solutions and conservation laws of the Pavlov equation. Zbl 1454.35318
Benoudina, Nardjess; Zhang, Yi; Khalique, Chaudry Masood
2021
Self-organizations with fast-slow time scale in a memristor-based Shinriki’s circuit. Zbl 07280107
Rao, Xiao-Bo; Zhao, Xu-Ping; Gao, Jian-She; Zhang, Jian-Gang
2021
On inhomogeneous nonholonomic Bilimovich system. Zbl 1455.37053
Borisov, A. V.; Tsiganov, A. V.; Mikishanina, E. A.
2021
Kink-antikink collisions in the periodic $$\varphi^4$$ model. Zbl 1454.83144
2021
Coupling correlation detrended analysis for multiple nonstationary series. Zbl 1454.62274
Wang, Fang; Fan, Qingju
2021
Regulating synchronous patterns in neurons and networks via field coupling. Zbl 1458.37106
Yao, Zhao; Wang, Chunni; Zhou, Ping; Ma, Jun
2021
Stability analysis in COVID-19 within-host model with immune response. Zbl 1457.92155
Almocera, Alexis Erich S.; Quiroz, Griselda; Hernandez-Vargas, Esteban A.
2021
A test for fractal boundaries based on the basin entropy. Zbl 1457.37034
Puy, Andreu; Daza, Alvar; Wagemakers, Alexandre; Sanjuán, Miguel A. F.
2021
Dynamical analysis for a reaction-diffusion HFMD model with nonsmooth saturation treatment function. Zbl 1466.92206
Shi, Lei; Zhao, Hongyong; Wu, Daiyong
2021
Superexponential interactions and the dynamical unfolding of confined degrees of freedom. Zbl 1455.81049
Schmelcher, Peter
2021
Fractional-order models for the static and dynamic analysis of nonlocal plates. Zbl 1459.74112
Patnaik, Sansit; Sidhardh, Sai; Semperlotti, Fabio
2021
Global dynamics of a non-smooth system with elastic and rigid impacts and dry friction. Zbl 1455.74070
Li, Guofang; Wu, Shaopei; Wang, Hongbing; Ding, Wangcai
2021
Bifurcation of limit cycles near heteroclinic loops in near-Hamiltonian systems. Zbl 1461.34062
Geng, Wei; Tian, Yun
2021
A new class of differential nonlinear system involving parabolic variational and history-dependent hemi-variational inequalities arising in contact mechanics. Zbl 1464.74122
Chen, Tao; Huang, Nan-jing; Li, Xue-song; Zou, Yun-zhi
2021
Mathematical modeling of the spread of the coronavirus disease 2019 (COVID-19) taking into account the undetected infections. The case of China. Zbl 1444.92114
Ivorra, B.; Ferrández, M. R.; Vela-Pérez, Maria; Ramos, A. M.
2020
Analysis of a reaction-diffusion cholera epidemic model in a spatially heterogeneous environment. Zbl 1451.92317
Wang, Jinliang; Xie, Fanglin; Kuniya, Toshikazu
2020
Global Mittag-Leffler stability analysis of impulsive fractional-order complex-valued BAM neural networks with time varying delays. Zbl 1454.34102
Syed Ali, M.; Narayanan, G.; Shekher, Vineet; Alsaedi, Ahmed; Ahmad, Bashir
2020
Bäcklund transformation, exact solutions and interaction behaviour of the (3+1)-dimensional Hirota-Satsuma-Ito-like equation. Zbl 1456.35178
Chen, Si-Jia; Ma, Wen-Xiu; Lü, Xing
2020
Coexisting attractors, circuit implementation and synchronization control of a new chaotic system evolved from the simplest memristor chaotic circuit. Zbl 07265384
Lai, Qiang; Wan, Zhiqiang; Kamdem Kuate, Paul Didier; Fotsin, Hilaire
2020
Numerical solution of variable-order fractional integro-partial differential equations via sinc collocation method based on single and double exponential transformations. Zbl 1452.65268
2020
Understanding cumulative sum operator in grey prediction model with integral matching. Zbl 1451.93211
Wei, Baolei; Xie, Naiming; Yang, Lu
2020
Numerical treatment of non-linear fourth-order distributed fractional sub-diffusion equation with time-delay. Zbl 1452.65172
Nandal, Sarita; Narain Pandey, Dwijendra
2020
Predictability, fast calculation and simulation for the interaction solutions to the cylindrical Kadomtsev-Petviashvili equation. Zbl 1450.35115
Xia, Jun-Wen; Zhao, Yi-Wei; Lü, Xing
2020
Special types of solitons and breather molecules for a (2+1)-dimensional fifth-order KdV equation. Zbl 1462.35328
Yan, Zhaowen; Lou, Senyue
2020
Signal propagation in electromagnetic media described by fractional-order models. Zbl 1451.78013
Stefański, Tomasz P.; Gulgowski, Jacek
2020
Synchronization for impulsive hybrid-coupled reaction-diffusion neural networks with time-varying delays. Zbl 1450.35284
Wu, Kaixiong; Li, Bing; Du, Yuwei; Du, Shishi
2020
Survivability and stochastic bifurcations for a stochastic Holling type II predator-prey model. Zbl 1453.92282
Zou, Xiaoling; Zheng, Yuting; Zhang, Liren; Lv, Jingliang
2020
Statics and dynamics of a nonlinear oscillator with quasi-zero stiffness behaviour for large deflections. Zbl 07265150
Gatti, Gianluca
2020
An unconditionally stable second-order accurate method for systems of Cahn-Hilliard equations. Zbl 1455.76138
Yang, Junxiang; Kim, Junseok
2020
Transport and invariant manifolds near L$$_3$$ in the Earth-Moon bicircular model. Zbl 07265375
Jorba, Àngel; Nicolás, Begoña
2020
On well-posedness of the sub-diffusion equation with conformable derivative model. Zbl 1450.35276
Nguyen Huy Tuan; Tran Bao Ngoc; Baleanu, Dumitru; O&rsquo;Regan, Donal
2020
Chaotic dynamics in a neural network with different types of external stimuli. Zbl 1453.92016
Lin, Hairong; Wang, Chunhua; Yao, Wei; Tan, Yumei
2020
Event-triggered synchronization in fixed time for semi-Markov switching dynamical complex networks with multiple weights and discontinuous nonlinearity. Zbl 1451.93242
Liu, Jie; Wu, Huaiqin; Cao, Jinde
2020
Limit cycles bifurcating of Kolmogorov systems in $$\mathbb{R}^2$$ and in $$\mathbb{R}^3$$. Zbl 1457.37067
Llibre, Jaume; Martínez, Y. Paulina; Valls, Claudia
2020
A bistable nonvolatile locally-active memristor and its complex dynamics. Zbl 1451.78032
Dong, Yujiao; Wang, Guangyi; Chen, Guanrong; Shen, Yiran; Ying, Jiajie
2020
Adaptive finite-time synchronization control for fractional-order complex-valued dynamical networks with multiple weights. Zbl 1451.93206
Xu, Yao; Li, Yanzhen; Li, Wenxue
2020
Non-topological kink scattering in a two-component scalar field theory model. Zbl 1454.81130
Alonso-Izquierdo, A.
2020
Global stability of a delayed adaptive immunity viral infection with two routes of infection and multi-stages of infected cells. Zbl 1451.92284
Elaiw, A. M.; AlShamrani, N. H.
2020
Focusing and defocusing Hirota equations with non-zero boundary conditions: inverse scattering transforms and soliton solutions. Zbl 1450.35297
Zhang, Guoqiang; Chen, Shuyan; Yan, Zhenya
2020
Phase-amplitude dynamics in terms of extended response functions: invariant curves and Arnold tongues. Zbl 1467.37078
Castejón, Oriol; Guillamon, Antoni
2020
A new approach to the $$Z$$-transform through infinite computation. Zbl 1459.40007
Caldarola, Fabio; Maiolo, Mario; Solferino, Viviana
2020
Multi-soliton solutions for a nonlocal complex coupled dispersionless equation. Zbl 1450.35114
Ji, Jia-Liang; Yang, Jun; Zhu, Zuo-Nong
2020
Exact solutions to $${\displaystyle\max_{\Vert x\Vert=1}\sum_{i=1}^\infty\Vert T_i(x) \Vert^2}$$ with applications to physics, bioengineering and statistics. Zbl 07265079
Garcia-Pacheco, Francisco Javier; Cobos-Sanchez, Clemente; Moreno-Pulido, Soledad; Sanchez-Alzola, Alberto
2020
Solitons, breathers and rogue waves of the coupled Hirota system with $$4\times 4$$ Lax pair. Zbl 1451.35198
Sun, Wen-Rong; Wang, Lei
2020
Switching thresholds for multistable systems under strong external perturbation. Zbl 1453.37085
2020
The new exact solution of the compressible 3D Navier-Stokes equations. Zbl 1453.35136
Chefranov, Sergei G.; Chefranov, Artem S.
2020
Optimal control of a fractional order model for granular SEIR epidemic with uncertainty. Zbl 1454.34072
Dong, Nguyen Phuong; Long, Hoang Viet; Khastan, Alireza
2020
Existence of multiple positive periodic solutions for discrete hematopoiesis models with a unimodal production function. Zbl 1451.37113
Sugie, Jitsuro; Yan, Yan
2020
Freak chimera states in a locally coupled Duffing oscillators chain. Zbl 1455.34031
Clerc, M. G.; Coulibaly, S.; Ferré, M. A.
2020
Spatiotemporal dynamics of a diffusive predator-prey model with nonlocal effect and delay. Zbl 1450.35051
Wu, Shuhao; Song, Yongli
2020
Exploring isomerization dynamics on a potential energy surface with an index-2 saddle using Lagrangian descriptors. Zbl 07265378
García-Garrido, Víctor J.; Agaoglou, Makrina; Wiggins, Stephen
2020
Shallow water equations in Lagrangian coordinates: symmetries, conservation laws and its preservation in difference models. Zbl 1450.76024
Dorodnitsyn, V. A.; Kaptsov, E. I.
2020
Atom scattering off a vibrating surface: an example of chaotic scattering with three degrees of freedom. Zbl 1453.37078
Gonzalez Montoya, Francisco; Borondo, Florentino; Jung, Christof
2020
On robust stability of incommensurate fractional-order systems. Zbl 1451.93287
2020
Adaptive linear second-order energy stable schemes for time-fractional Allen-Cahn equation with volume constraint. Zbl 1444.35140
Ji, Bingquan; Liao, Hong-lin; Gong, Yuezheng; Zhang, Luming
2020
An epidemic model highlighting humane social awareness and vector-host lifespan ratio variation. Zbl 1453.92329
Wijaya, Karunia Putra; Páez Chávez, Joseph; Aldila, Dipo
2020
Symmetry multi-reduction method for partial differential equations with conservation laws. Zbl 1453.35009
Anco, Stephen C.; Gandarias, M. L.
2020
Radial solutions of a nonlinear $$k$$-Hessian system involving a nonlinear operator. Zbl 1454.35143
Wang, Guotao; Yang, Zedong; Zhang, Lihong; Baleanu, Dumitru
2020
Generalization of the algebraic method of group classification with application to nonlinear wave and elliptic equations. Zbl 1453.35011
Vaneeva, Olena O.; Bihlo, Alexander; Popovych, Roman O.
2020
Nonlinear forced vibration of a curved micro beam with a surface-mounted light-driven actuator. Zbl 1453.74036
Bakhtiari, Iraj; Behrouz, Saman Jabbari; Rahmani, Omid
2020
Calculating the Lyapunov exponents of a piecewise-smooth soft impacting system with a time-delayed feedback controller. Zbl 1456.37097
Zhang, Zhi; Liu, Yang; Sieber, Jan
2020
Key aspects for effective mathematical modelling of fractional-diffusion in cardiac electrophysiology: a quantitative study. Zbl 1451.92083
Cusimano, Nicole; Gizzi, A.; Fenton, Flavio H.; Filippi, S.; Gerardo-Giorda, L.
2020
Nonlinear bending of functionally graded sandwich plates under mechanical and thermal load. Zbl 1450.74026
Yoosefian, A. R.; Golmakani, M. E.; Sadeghian, M.
2020
Solving the lexicographic multi-objective mixed-integer linear programming problem using branch-and-bound and grossone methodology. Zbl 1451.90140
Cococcioni, Marco; Cudazzo, Alessandro; Pappalardo, Massimo; Sergeyev, Yaroslav D.
2020
Rumor model on homogeneous social network incorporating delay in expert intervention and government action. Zbl 1450.91028
Jain, Ankur; Dhar, Joydip; Gupta, Vijay
2020
Deformation and coalescence of ferrodroplets in Rosensweig model using the phase field and modified level set approaches under uniform magnetic fields. Zbl 1460.76773
Bai, Feng; Han, Daozhi; He, Xiaoming; Yang, Xiaofeng
2020
Implicit analytic solutions for a nonlinear fractional partial differential beam equation. Zbl 1450.74023
Liaskos, Konstantinos B.; Pantelous, Athanasios A.; Kougioumtzoglou, Ioannis A.; Meimaris, Antonios T.; Pirrotta, Antonina
2020
Resonant tori, transport barriers, and chaos in a vector field with a Neimark-Sacker bifurcation. Zbl 1453.34020
Fleurantin, Emmanuel; James, J. D. Mireles
2020
Generalized shifted Chebyshev polynomials: solving a general class of nonlinear variable order fractional PDE. Zbl 1450.35267
2020
Turing-Hopf bifurcation of reaction-diffusion neural networks with leakage delay. Zbl 1450.35049
Lin, Jiazhe; Xu, Rui; Li, Liangchen
2020
Nonlocal hydrodynamic type of equations. Zbl 1450.35014
Gürses, Metin; Pekcan, Aslı; Zheltukhin, Kostyantyn
2020
Excitatory autapse induces different cases of reduced neuronal firing activities near Hopf bifurcation. Zbl 1451.92081
Zhao, Zhiguo; Li, Li; Gu, Huaguang
2020
Primal-dual active set method for pricing American better-of option on two assets. Zbl 1450.35258
Gao, Yu; Song, Haiming; Wang, Xiaoshen; Zhang, Kai
2020
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