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Author ID: diethelm.kai Recent zbMATH articles by "Diethelm, Kai"
Published as: Diethelm, Kai; Diethelm, K.
Homepage: https://fang.thws.de/en/faculty/staff/professors-and-lecturers/person/prof-dr-ka...
External Links: MGP · ORCID · Wikidata · ResearchGate · dblp · GND · IdRef
Documents Indexed: 80 Publications since 1994, including 5 Books and 8 Additional arXiv Preprints
Software Indexed: 1 Package
Reviewing Activity: 423 Reviews
Co-Authors: 29 Co-Authors with 37 Joint Publications
1,787 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

65 Publications have been cited 7,327 times in 5,260 Documents Cited by Year
The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type. Zbl 1215.34001
Diethelm, Kai
2010
Fractional calculus. Models and numerical methods. Zbl 1248.26011
Baleanu, Dumitru; Diethelm, Kai; Scalas, Enrico; Trujillo, Juan J.
2012
A predictor-corrector approach for the numerical solution of fractional differential equations. Zbl 1009.65049
Diethelm, Kai; Ford, Neville J.; Freed, Alan D.
940
2002
Analysis of fractional differential equations. Zbl 1014.34003
Diethelm, Kai; Ford, Neville J.
728
2002
Detailed error analysis for a fractional Adams method. Zbl 1055.65098
Diethelm, Kai; Ford, Neville J.; Freed, Alan D.
440
2004
An algorithm for the numerical solution of differential equations of fractional order. Zbl 0890.65071
Diethelm, Kai
266
1997
Algorithms for the fractional calculus: a selection of numerical methods. Zbl 1119.65352
Diethelm, K.; Ford, N. J.; Freed, A. D.; Luchko, Yu.
266
2005
Multi-order fractional differential equations and their numerical solution. Zbl 1060.65070
Diethelm, Kai; Ford, Neville J.
152
2004
Numerical solution of the Bagley-Torvik equation. Zbl 1035.65067
Diethelm, K.; Ford, N. J.
139
2002
Numerical analysis for distributed-order differential equations. Zbl 1159.65103
Diethelm, Kai; Ford, Neville J.
131
2009
Numerical solution of fractional order differential equations by extrapolation. Zbl 0926.65070
Diethelm, Kai; Walz, Guido
113
1997
Fractional calculus. Models and numerical methods. 2nd expanded edition. Zbl 1347.26006
Baleanu, Dumitru; Diethelm, Kai; Scalas, Enrico; Trujillo, Juan J.
89
2017
Pitfalls in fast numerical solvers for fractional differential equations. Zbl 1078.65550
Diethelm, Kai; Ford, Judith M.; Ford, Neville J.; Weilbeer, Marc
77
2006
Numerical solutions of linear multi-term initial value problems of fractional order. Zbl 1083.65064
Diethelm, Kai; Luchko, Yuri
56
2004
Efficient solution of multi-term fractional differential equations using P(EC)\(^m\)E methods. Zbl 1035.65066
Diethelm, K.
55
2003
An investigation of some nonclassical methods for the numerical approximation of Caputo-type fractional derivatives. Zbl 1144.65017
Diethelm, Kai
47
2008
Why fractional derivatives with nonsingular kernels should not be used. Zbl 1474.26020
Diethelm, Kai; Garrappa, Roberto; Giusti, Andrea; Stynes, Martin
47
2020
An efficient parallel algorithm for the numerical solution of fractional differential equations. Zbl 1273.65101
Diethelm, Kai
40
2011
Generalized compound quadrature formulae for finite-part integrals. Zbl 0871.41021
Diethelm, Kai
35
1997
Volterra integral equations and fractional calculus: do neighboring solutions intersect? Zbl 1238.45003
Diethelm, Kai; Ford, Neville J.
32
2012
The mean value theorems and a Nagumo-type uniqueness theorem for Caputo’s fractional calculus. Zbl 1284.34010
Diethelm, Kai
32
2012
Numerical solution methods for distributed order differential equations. Zbl 1032.65070
Diethelm, Kai; Ford, Neville J.
28
2001
Monotonicity of functions and sign changes of their Caputo derivatives. Zbl 1337.26009
Diethelm, Kai
27
2016
Asymptotic behavior of solutions of linear multi-order fractional differential systems. Zbl 1386.34012
Diethelm, Kai; Siegmund, Stefan; Tuan, H. T.
26
2017
On the separation of solutions of fractional differential equations. Zbl 1170.34022
Diethelm, Kai
18
2008
Gaussian quadrature formulae of the third kind for Cauchy principal value integrals: Basic properties and error estimates. Zbl 0847.41019
Diethelm, Kai
17
1995
Smoothness properties of solutions of Caputo-type fractional differential equations. Zbl 1136.26302
Diethelm, Kai
17
2007
An efficient algorithm for the evaluation of convolution integrals. Zbl 1093.65022
Diethelm, K.; Freed, A. D.
15
2006
Modified compound quadrature rules for strongly singular integrals. Zbl 0809.41026
Diethelm, K.
14
1994
Uniform convergence of optimal order quadrature rules for Cauchy principal value integrals. Zbl 0821.41027
Diethelm, Kai
12
1994
A note on the well-posedness of terminal value problems for fractional differential equations. Zbl 1406.34009
Diethelm, Kai; Ford, Neville J.
12
2018
Approximation methods and stability of singular integral equations for Freud exponential weights on the line. Zbl 1085.41020
Damelin, S. B.; Diethelm, K.
12
2004
Caputo derivatives in viscoelasticity: a non-linear finite-deformation theory for tissue. Zbl 1152.26303
Freed, Alan D.; Diethelm, Kai
12
2007
Boundedness and uniform numerical approximation of the weighted Hilbert transform on the real line. Zbl 0983.41015
Damelin, S. B.; Diethelm, Kai
11
2001
Fractional-order attractors synthesis via parameter switchings. Zbl 1222.37107
Danca, Marius F.; Diethelm, Kai
11
2010
Increasing the efficiency of shooting methods for terminal value problems of fractional order. Zbl 1349.65211
Diethelm, Kai
10
2015
Peano kernels and bounds for the error constants of Gaussian and related quadrature rules for Cauchy principal value integrals. Zbl 0857.41027
Diethelm, Kai
9
1996
A method for the practical evaluation of the Hilbert transform on the real line. Zbl 0944.65139
Diethelm, Kai
9
1999
Erratum to: ‘The mean value theorems and a Nagumo-type uniqueness theorem for Caputo’s fractional calculus”. Zbl 1430.34003
Diethelm, Kai
8
2017
Predictor-corrector strategies for single- and multi-term fractional differential equations. Zbl 1028.65081
Diethelm, Kai
7
2002
Interpolatory product quadratures for Cauchy principal value integrals with Freud weights. Zbl 0940.65023
Damelin, S. B.; Diethelm, Kai
7
1999
An extension of the well-posedness concept for fractional differential equations of Caputo’s type. Zbl 1307.34008
Diethelm, Kai
7
2014
Upper and lower estimates for the separation of solutions to fractional differential equations. Zbl 1503.34012
Diethelm, Kai; Tuan, Hoang The
7
2022
Asymptotically sharp error bounds for a quadrature rule for Cauchy principal value integrals based on piecewise linear interpolation. Zbl 0851.41025
Diethelm, Kai
6
1995
New error bounds for modified quadrature formulas for Cauchy principal value integrals. Zbl 0880.41024
Diethelm, Kai
5
1997
Non-optimality of certain quadrature rules for Cauchy principal value integrals. Zbl 0802.65017
Diethelm, K.
5
1994
Peano kernels of non-integer order. Zbl 0880.41022
Diethelm, K.
5
1997
Error estimates for a quadrature rule for Cauchy principal value integrals. Zbl 0815.41024
Diethelm, Kai
4
1994
Fractional error constants for quadrature formulas. Zbl 0922.41016
Diethelm, Kai
4
1998
Estimation of quadrature errors in terms of Caputo-type fractional derivatives. Zbl 1036.41016
Diethelm, Kai
4
1999
Error bounds for spline-based quadrature methods for strongly singular integrals. Zbl 0908.41022
Diethelm, Kai
4
1998
A fractional version of the Peano-Sard theorem. Zbl 0892.41018
Diethelm, Kai
4
1997
Asymptotic behaviour of solutions to non-commensurate fractional-order planar systems. Zbl 1503.34011
Diethelm, Kai; Thai, Ha Duc; Tuan, Hoang The
4
2022
Two general methods for the numerical approximation of multidimensional Cauchy principal value integrals. Zbl 0976.65025
Diethelm, Kai
3
2000
The order of convergence of modified interpolatory quadratures for singular integrals of Cauchy type. Zbl 0850.65031
Diethelm, Kai
2
1995
Monotonicity results for a compound quadrature method for finite-part integrals. Zbl 1063.41021
Diethelm, Kai
2
2004
Asymptotic behaviour of fixed-order error constants of modified quadrature formulae for Cauchy principal value integrals. Zbl 0949.41019
Diethelm, Kai; Köhler, Peter
2
2000
Weighted polynomial approximation and Hilbert transforms: their connections to the numerical solution of singular integral equations. Zbl 1072.41002
Damelin, S. B.; Diethelm, K.
2
2004
A numerical approach for Joulin’s model of a point source initiated flame. Zbl 1094.80006
Diethelm, Kai; Weilbeer, Marc
2
2004
Error bounds for the numerical integration of functions with limited smoothness. Zbl 1305.41030
Diethelm, Kai
2
2014
A constructive approach for investigating the stability of incommensurate fractional differential systems. Zbl 07920132
Diethelm, Kai; Hashemishahraki, Safoura; Thai, Ha Duc; Tuan, Hoang The
2
2024
A definiteness criterion for linear functionals and its application to Cauchy principal value quadrature. Zbl 0853.41016
Diethelm, Kai
1
1996
Existence and construction of definite estimation functionals. Zbl 0959.41020
Diethelm, K.
1
1999
A new approach to shooting methods for terminal value problems of fractional differential equations. Zbl 1526.65032
Diethelm, Kai; Uhlig, Frank
1
2023
A Hilbert space approach to fractional differential equations. Zbl 1537.34008
Diethelm, Kai; Kitzing, Konrad; Picard, Rainer; Siegmund, Stefan; Trostorff, Sascha; Waurick, Marcus
1
2022
A constructive approach for investigating the stability of incommensurate fractional differential systems. Zbl 07920132
Diethelm, Kai; Hashemishahraki, Safoura; Thai, Ha Duc; Tuan, Hoang The
2
2024
A new approach to shooting methods for terminal value problems of fractional differential equations. Zbl 1526.65032
Diethelm, Kai; Uhlig, Frank
1
2023
Upper and lower estimates for the separation of solutions to fractional differential equations. Zbl 1503.34012
Diethelm, Kai; Tuan, Hoang The
7
2022
Asymptotic behaviour of solutions to non-commensurate fractional-order planar systems. Zbl 1503.34011
Diethelm, Kai; Thai, Ha Duc; Tuan, Hoang The
4
2022
A Hilbert space approach to fractional differential equations. Zbl 1537.34008
Diethelm, Kai; Kitzing, Konrad; Picard, Rainer; Siegmund, Stefan; Trostorff, Sascha; Waurick, Marcus
1
2022
Why fractional derivatives with nonsingular kernels should not be used. Zbl 1474.26020
Diethelm, Kai; Garrappa, Roberto; Giusti, Andrea; Stynes, Martin
47
2020
A note on the well-posedness of terminal value problems for fractional differential equations. Zbl 1406.34009
Diethelm, Kai; Ford, Neville J.
12
2018
Fractional calculus. Models and numerical methods. 2nd expanded edition. Zbl 1347.26006
Baleanu, Dumitru; Diethelm, Kai; Scalas, Enrico; Trujillo, Juan J.
89
2017
Asymptotic behavior of solutions of linear multi-order fractional differential systems. Zbl 1386.34012
Diethelm, Kai; Siegmund, Stefan; Tuan, H. T.
26
2017
Erratum to: ‘The mean value theorems and a Nagumo-type uniqueness theorem for Caputo’s fractional calculus”. Zbl 1430.34003
Diethelm, Kai
8
2017
Monotonicity of functions and sign changes of their Caputo derivatives. Zbl 1337.26009
Diethelm, Kai
27
2016
Increasing the efficiency of shooting methods for terminal value problems of fractional order. Zbl 1349.65211
Diethelm, Kai
10
2015
An extension of the well-posedness concept for fractional differential equations of Caputo’s type. Zbl 1307.34008
Diethelm, Kai
7
2014
Error bounds for the numerical integration of functions with limited smoothness. Zbl 1305.41030
Diethelm, Kai
2
2014
Fractional calculus. Models and numerical methods. Zbl 1248.26011
Baleanu, Dumitru; Diethelm, Kai; Scalas, Enrico; Trujillo, Juan J.
2012
Volterra integral equations and fractional calculus: do neighboring solutions intersect? Zbl 1238.45003
Diethelm, Kai; Ford, Neville J.
32
2012
The mean value theorems and a Nagumo-type uniqueness theorem for Caputo’s fractional calculus. Zbl 1284.34010
Diethelm, Kai
32
2012
An efficient parallel algorithm for the numerical solution of fractional differential equations. Zbl 1273.65101
Diethelm, Kai
40
2011
The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type. Zbl 1215.34001
Diethelm, Kai
2010
Fractional-order attractors synthesis via parameter switchings. Zbl 1222.37107
Danca, Marius F.; Diethelm, Kai
11
2010
Numerical analysis for distributed-order differential equations. Zbl 1159.65103
Diethelm, Kai; Ford, Neville J.
131
2009
An investigation of some nonclassical methods for the numerical approximation of Caputo-type fractional derivatives. Zbl 1144.65017
Diethelm, Kai
47
2008
On the separation of solutions of fractional differential equations. Zbl 1170.34022
Diethelm, Kai
18
2008
Smoothness properties of solutions of Caputo-type fractional differential equations. Zbl 1136.26302
Diethelm, Kai
17
2007
Caputo derivatives in viscoelasticity: a non-linear finite-deformation theory for tissue. Zbl 1152.26303
Freed, Alan D.; Diethelm, Kai
12
2007
Pitfalls in fast numerical solvers for fractional differential equations. Zbl 1078.65550
Diethelm, Kai; Ford, Judith M.; Ford, Neville J.; Weilbeer, Marc
77
2006
An efficient algorithm for the evaluation of convolution integrals. Zbl 1093.65022
Diethelm, K.; Freed, A. D.
15
2006
Algorithms for the fractional calculus: a selection of numerical methods. Zbl 1119.65352
Diethelm, K.; Ford, N. J.; Freed, A. D.; Luchko, Yu.
266
2005
Detailed error analysis for a fractional Adams method. Zbl 1055.65098
Diethelm, Kai; Ford, Neville J.; Freed, Alan D.
440
2004
Multi-order fractional differential equations and their numerical solution. Zbl 1060.65070
Diethelm, Kai; Ford, Neville J.
152
2004
Numerical solutions of linear multi-term initial value problems of fractional order. Zbl 1083.65064
Diethelm, Kai; Luchko, Yuri
56
2004
Approximation methods and stability of singular integral equations for Freud exponential weights on the line. Zbl 1085.41020
Damelin, S. B.; Diethelm, K.
12
2004
Monotonicity results for a compound quadrature method for finite-part integrals. Zbl 1063.41021
Diethelm, Kai
2
2004
Weighted polynomial approximation and Hilbert transforms: their connections to the numerical solution of singular integral equations. Zbl 1072.41002
Damelin, S. B.; Diethelm, K.
2
2004
A numerical approach for Joulin’s model of a point source initiated flame. Zbl 1094.80006
Diethelm, Kai; Weilbeer, Marc
2
2004
Efficient solution of multi-term fractional differential equations using P(EC)\(^m\)E methods. Zbl 1035.65066
Diethelm, K.
55
2003
A predictor-corrector approach for the numerical solution of fractional differential equations. Zbl 1009.65049
Diethelm, Kai; Ford, Neville J.; Freed, Alan D.
940
2002
Analysis of fractional differential equations. Zbl 1014.34003
Diethelm, Kai; Ford, Neville J.
728
2002
Numerical solution of the Bagley-Torvik equation. Zbl 1035.65067
Diethelm, K.; Ford, N. J.
139
2002
Predictor-corrector strategies for single- and multi-term fractional differential equations. Zbl 1028.65081
Diethelm, Kai
7
2002
Numerical solution methods for distributed order differential equations. Zbl 1032.65070
Diethelm, Kai; Ford, Neville J.
28
2001
Boundedness and uniform numerical approximation of the weighted Hilbert transform on the real line. Zbl 0983.41015
Damelin, S. B.; Diethelm, Kai
11
2001
Two general methods for the numerical approximation of multidimensional Cauchy principal value integrals. Zbl 0976.65025
Diethelm, Kai
3
2000
Asymptotic behaviour of fixed-order error constants of modified quadrature formulae for Cauchy principal value integrals. Zbl 0949.41019
Diethelm, Kai; Köhler, Peter
2
2000
A method for the practical evaluation of the Hilbert transform on the real line. Zbl 0944.65139
Diethelm, Kai
9
1999
Interpolatory product quadratures for Cauchy principal value integrals with Freud weights. Zbl 0940.65023
Damelin, S. B.; Diethelm, Kai
7
1999
Estimation of quadrature errors in terms of Caputo-type fractional derivatives. Zbl 1036.41016
Diethelm, Kai
4
1999
Existence and construction of definite estimation functionals. Zbl 0959.41020
Diethelm, K.
1
1999
Fractional error constants for quadrature formulas. Zbl 0922.41016
Diethelm, Kai
4
1998
Error bounds for spline-based quadrature methods for strongly singular integrals. Zbl 0908.41022
Diethelm, Kai
4
1998
An algorithm for the numerical solution of differential equations of fractional order. Zbl 0890.65071
Diethelm, Kai
266
1997
Numerical solution of fractional order differential equations by extrapolation. Zbl 0926.65070
Diethelm, Kai; Walz, Guido
113
1997
Generalized compound quadrature formulae for finite-part integrals. Zbl 0871.41021
Diethelm, Kai
35
1997
New error bounds for modified quadrature formulas for Cauchy principal value integrals. Zbl 0880.41024
Diethelm, Kai
5
1997
Peano kernels of non-integer order. Zbl 0880.41022
Diethelm, K.
5
1997
A fractional version of the Peano-Sard theorem. Zbl 0892.41018
Diethelm, Kai
4
1997
Peano kernels and bounds for the error constants of Gaussian and related quadrature rules for Cauchy principal value integrals. Zbl 0857.41027
Diethelm, Kai
9
1996
A definiteness criterion for linear functionals and its application to Cauchy principal value quadrature. Zbl 0853.41016
Diethelm, Kai
1
1996
Gaussian quadrature formulae of the third kind for Cauchy principal value integrals: Basic properties and error estimates. Zbl 0847.41019
Diethelm, Kai
17
1995
Asymptotically sharp error bounds for a quadrature rule for Cauchy principal value integrals based on piecewise linear interpolation. Zbl 0851.41025
Diethelm, Kai
6
1995
The order of convergence of modified interpolatory quadratures for singular integrals of Cauchy type. Zbl 0850.65031
Diethelm, Kai
2
1995
Modified compound quadrature rules for strongly singular integrals. Zbl 0809.41026
Diethelm, K.
14
1994
Uniform convergence of optimal order quadrature rules for Cauchy principal value integrals. Zbl 0821.41027
Diethelm, Kai
12
1994
Non-optimality of certain quadrature rules for Cauchy principal value integrals. Zbl 0802.65017
Diethelm, K.
5
1994
Error estimates for a quadrature rule for Cauchy principal value integrals. Zbl 0815.41024
Diethelm, Kai
4
1994
all top 5

Cited by 5,959 Authors

214 Băleanu, Dumitru I.
82 Ntouyas, Sotiris K.
74 Ahmad, Bashir
60 Wang, Jinrong
54 Zhou, Yong
53 Machado, José António Tenreiro
50 Gómez-Aguilar, José Francisco
49 Agarwal, Ravi P.
49 Benchohra, Mouffak
48 Al-saedi, Ahmed Eid Salem
45 Nieto Roig, Juan Jose
43 Liu, Fawang
42 Abdeljawad, Thabet
40 Tariboon, Jessada
39 Li, Changpin
37 Wang, Hong
36 Stynes, Martin Joseph
35 Diethelm, Kai
35 Garrappa, Roberto
35 Zheng, Xiangcheng
34 Dehghan Takht Fooladi, Mehdi
33 Momani, Shaher M.
32 Jafari, Hossein
32 O’Regan, Donal
29 Fernandez, Arran
29 Ford, Neville J.
28 Abbas, Said
27 Tarasov, Vasily E.
27 Zeng, Fanhai
26 Atangana, Abdon
26 Cao, Jinde
26 Daftardar-Gejji, Varsha
25 Danca, Marius-Florin
25 Turner, Ian William
25 Wang, Guotao
23 Anastassiou, George Angelos
23 Fečkan, Michal
23 Kumar, Sunil
23 Torres, Delfim Fernando Marado
23 Vijayakumar, Velusamy
22 Bhrawy, Ali Hassan
22 Khristova, Snezhana G.
22 Rezapour, Shahram
22 Tuan, Hoang The
22 Wu, Guocheng
21 Deng, Weihua
21 Salahshour, Soheil
21 Shah, Kamal
21 Yan, Yubin
20 Abdo, Mohammed Salem
20 Chen, Yangquan
20 Gomoyunov, Mikhail Igorevich
20 Trujillo, Juan J.
19 Khader, Mohamed M.
19 Odibat, Zaid M.
19 ur Rehman, Mujeeb
19 Yang, Xiao-Jun
18 Chu, Yuming
18 Jia, Mei
18 Jiang, Xiaoyun
18 Karniadakis, George Em
18 Li, Hong
18 Liu, Yang
18 Nguyen Huy Tuan
18 Pedas, Arvet
18 Sweilam, Nasser Hassan
17 Abbaszadeh, Mostafa
17 Ahmadian, Ali
17 Jarad, Fahd
17 Kostić, Marko
17 Rajagopal, Karthikeyan
17 Sooppy Nisar, Kottakkaran
17 Sun, Hongguang
16 Agarwal, Praveen
16 Inc, Mustafa
16 Liu, Xiping
16 Sayevand, Khosro
16 Srivastava, Hari Mohan
16 Zhang, Lihong
15 Alzabut, Jehad O.
15 Huang, Jianfei
15 Mokhtary, Payam
15 Owolabi, Kolade Matthew
15 Zada, Akbar
15 Zaky, Mahmoud A.
14 Almeida, Ricardo
14 Bhalekar, Sachin
14 Debbouche, Amar
14 Etemad, Sina
14 Jiang, Wei
14 Kolokoltsov, Vassili N.
14 Lopes, António M.
14 Stamova, Ivanka Milkova
14 Sun, Zhizhong
14 Vanterler da Costa Sousa, José
14 Xu, Chuanju
14 Yang, Xiaozhong
14 Yu, Yongguang
13 Babolian, Esmail
13 El-Sayed, Ahmed Mohamed Ahmed
...and 5,859 more Authors
all top 5

Cited in 481 Serials

266 Advances in Difference Equations
226 Fractional Calculus & Applied Analysis
212 Mathematical Methods in the Applied Sciences
199 Chaos, Solitons and Fractals
186 Communications in Nonlinear Science and Numerical Simulation
174 Applied Mathematics and Computation
172 Journal of Computational and Applied Mathematics
156 Computers & Mathematics with Applications
138 Abstract and Applied Analysis
136 Nonlinear Dynamics
94 Computational and Applied Mathematics
89 Applied Numerical Mathematics
75 Mathematical Problems in Engineering
71 Applied Mathematical Modelling
69 Journal of Applied Mathematics and Computing
66 Mathematics and Computers in Simulation
61 Journal of Computational Physics
57 Numerical Algorithms
52 International Journal of Computer Mathematics
52 AIMS Mathematics
51 Applied Mathematics Letters
50 Journal of Scientific Computing
50 Fractals
46 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
46 Boundary Value Problems
44 Physica A
43 Numerical Methods for Partial Differential Equations
43 Discrete Dynamics in Nature and Society
42 Chaos
41 International Journal of Applied and Computational Mathematics
35 Advances in Mathematical Physics
34 Journal of Applied Analysis and Computation
34 Journal of Function Spaces
32 Journal of Mathematical Analysis and Applications
30 International Journal of Nonlinear Sciences and Numerical Simulation
30 Mediterranean Journal of Mathematics
30 Fractional Differential Calculus
29 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
29 Discrete and Continuous Dynamical Systems. Series S
25 Asian Journal of Control
24 Journal of Integral Equations and Applications
23 Complexity
22 Journal of the Franklin Institute
22 Physics Letters. A
22 International Journal of Biomathematics
21 Journal of Optimization Theory and Applications
21 Open Mathematics
20 Filomat
20 Differential Equations and Dynamical Systems
20 International Journal of Differential Equations
20 Computational Methods for Differential Equations
19 Advances in Computational Mathematics
19 Journal of Inequalities and Applications
19 Qualitative Theory of Dynamical Systems
18 Turkish Journal of Mathematics
18 Nonlinear Analysis. Modelling and Control
18 Chinese Journal of Physics (Taipei)
17 BIT
17 Discrete and Continuous Dynamical Systems. Series B
16 Computer Methods in Applied Mechanics and Engineering
16 SIAM Journal on Numerical Analysis
16 SIAM Journal on Scientific Computing
16 Journal of Applied Mathematics
16 Waves in Random and Complex Media
16 Journal of Nonlinear Science and Applications
15 Mathematical Sciences
15 Mathematics
14 Journal of Vibration and Control
14 Journal of Mathematics
13 Numerical Functional Analysis and Optimization
13 Circuits, Systems, and Signal Processing
13 Mathematical Modelling of Natural Phenomena
13 S\(\vec{\text{e}}\)MA Journal
12 Acta Mechanica
12 Applicable Analysis
11 Calcolo
11 Neural Networks
11 Engineering Analysis with Boundary Elements
11 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis
11 Advances in Applied Mathematics and Mechanics
11 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
11 Journal of Mathematical Extension
10 Fuzzy Sets and Systems
10 Rendiconti del Circolo Matemàtico di Palermo. Serie II
10 Physica D
10 Electronic Journal of Differential Equations (EJDE)
10 Journal of the Egyptian Mathematical Society
10 Nonlinear Functional Analysis and Applications
10 Mathematical Modelling and Analysis
10 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
10 Cubo
10 Asian-European Journal of Mathematics
10 Palestine Journal of Mathematics
10 Axioms
10 Journal of Mathematical Modeling
10 International Journal of Systems Science. Principles and Applications of Systems and Integration
10 Communications on Applied Mathematics and Computation
9 Demonstratio Mathematica
9 Journal of Differential Equations
9 Journal of Applied Analysis
...and 381 more Serials
all top 5

Cited in 55 Fields

2,801 Ordinary differential equations (34-XX)
1,789 Numerical analysis (65-XX)
1,683 Real functions (26-XX)
1,363 Partial differential equations (35-XX)
535 Operator theory (47-XX)
490 Biology and other natural sciences (92-XX)
483 Integral equations (45-XX)
448 Systems theory; control (93-XX)
295 Dynamical systems and ergodic theory (37-XX)
237 Special functions (33-XX)
169 Probability theory and stochastic processes (60-XX)
151 Calculus of variations and optimal control; optimization (49-XX)
138 Approximations and expansions (41-XX)
137 Mechanics of deformable solids (74-XX)
135 Integral transforms, operational calculus (44-XX)
132 Fluid mechanics (76-XX)
120 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
110 Difference and functional equations (39-XX)
83 Information and communication theory, circuits (94-XX)
62 Statistical mechanics, structure of matter (82-XX)
54 Computer science (68-XX)
50 Mechanics of particles and systems (70-XX)
48 Harmonic analysis on Euclidean spaces (42-XX)
48 Operations research, mathematical programming (90-XX)
34 Functional analysis (46-XX)
29 Classical thermodynamics, heat transfer (80-XX)
27 Measure and integration (28-XX)
26 Optics, electromagnetic theory (78-XX)
25 Global analysis, analysis on manifolds (58-XX)
23 Functions of a complex variable (30-XX)
22 Geophysics (86-XX)
20 Quantum theory (81-XX)
13 Combinatorics (05-XX)
9 General and overarching topics; collections (00-XX)
9 Linear and multilinear algebra; matrix theory (15-XX)
9 Statistics (62-XX)
8 Sequences, series, summability (40-XX)
7 Abstract harmonic analysis (43-XX)
7 Differential geometry (53-XX)
6 Number theory (11-XX)
6 Topological groups, Lie groups (22-XX)
5 Potential theory (31-XX)
5 General topology (54-XX)
4 Several complex variables and analytic spaces (32-XX)
3 History and biography (01-XX)
3 Mathematical logic and foundations (03-XX)
3 Relativity and gravitational theory (83-XX)
2 Geometry (51-XX)
2 Convex and discrete geometry (52-XX)
2 Algebraic topology (55-XX)
2 Astronomy and astrophysics (85-XX)
1 Algebraic geometry (14-XX)
1 Associative rings and algebras (16-XX)
1 Nonassociative rings and algebras (17-XX)
1 Mathematics education (97-XX)

Citations by Year

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