Edit Profile (opens in new tab) Diethelm, Kai Co-Author Distance Author ID: 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 all top 5 Co-Authors 43 single-authored 11 Ford, Neville J. 5 Damelin, Steven Benjamin 5 Freed, Alan David 5 Tuan, Hoang The 3 Chaudhary, Renu 3 Hashemishahraki, Safoura 3 Thai, Ha Duc 2 Băleanu, Dumitru I. 2 Luchko, Yuri 2 Scalas, Enrico 2 Siegmund, Stefan 2 Trujillo, Juan J. 2 Weilbeer, Marc 1 Danca, Marius-Florin 1 Ford, Judith M. 1 Garrappa, Roberto 1 Giusti, Andrea 1 Kiryakova, Virginia S. 1 Kitzing, Konrad 1 Köhler, Peter 1 Luchko, Yurii F. 1 Machado, José António Tenreiro 1 Picard, Rainer H. 1 Stynes, Martin Joseph 1 Tarasov, Vasily E. 1 Trostorff, Sascha 1 Uhlig, Frank 1 Walz, Guido 1 Waurick, Marcus all top 5 Serials 14 Fractional Calculus & Applied Analysis 8 Journal of Computational and Applied Mathematics 3 Numerical Functional Analysis and Optimization 3 Journal of Integral Equations and Applications 3 Numerical Algorithms 2 Journal of Mathematical Analysis and Applications 2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 Computing 2 Numerische Mathematik 2 Series on Complexity, Nonlinearity, and Chaos 1 Applicable Analysis 1 Computers & Mathematics with Applications 1 Computer Methods in Applied Mechanics and Engineering 1 IMA Journal of Numerical Analysis 1 Journal of Computational Physics 1 Applied Mathematics and Computation 1 BIT 1 SIAM Journal on Numerical Analysis 1 Studia Scientiarum Mathematicarum Hungarica 1 Zeitschrift für Analysis und ihre Anwendungen 1 Applied Numerical Mathematics 1 Approximation Theory and its Applications 1 Journal of Scientific Computing 1 Journal of Dynamics and Differential Equations 1 ETNA. Electronic Transactions on Numerical Analysis 1 Nonlinear Dynamics 1 Journal of Inequalities and Applications 1 Journal of Computational Analysis and Applications 1 Communications in Nonlinear Science and Numerical Simulation 1 JIPAM. Journal of Inequalities in Pure & Applied Mathematics 1 The ANZIAM Journal 1 Lecture Notes in Mathematics 1 Mathematik im Fokus all top 5 Fields 39 Numerical analysis (65-XX) 37 Ordinary differential equations (34-XX) 36 Real functions (26-XX) 31 Approximations and expansions (41-XX) 11 Integral equations (45-XX) 4 Partial differential equations (35-XX) 3 Functions of a complex variable (30-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral transforms, operational calculus (44-XX) 2 Functional analysis (46-XX) 2 Probability theory and stochastic processes (60-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Combinatorics (05-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Operator theory (47-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications 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 2,209 2010 Fractional calculus. Models and numerical methods. Zbl 1248.26011 Baleanu, Dumitru; Diethelm, Kai; Scalas, Enrico; Trujillo, Juan J. 1,041 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. 1,041 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 2,209 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 cited Publications top 5 cited Publications 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 Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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