Edit Profile (opens in new tab) Luchko, Yuri Co-Author Distance Author ID: luchko.yuri Published as: Luchko, Yuri; Luchko, Yu. Documents Indexed: 59 Publications since 1997, including 1 Book and 11 Additional arXiv Preprints 2 Contributions as Editor Reviewing Activity: 25 Reviews Co-Authors: 25 Co-Authors with 39 Joint Publications 919 Co-Co-Authors all top 5 Co-Authors 22 single-authored 11 Yamamoto, Masahiro 8 Gorenflo, Rudolf 5 Mainardi, Francesco 4 Al-Refai, Mohammed 3 Boyadjiev, Lyubomir I. 2 Alkandari, Maryam 2 Diethelm, Kai 2 Hanna, Latif A.-M. 2 Kiryakova, Virginia S. 2 Kochubeĭ, Anatoliĭ Naumovych 2 Li, Zhiyuan 2 Machado, José António Tenreiro 1 Buckwar, Evelyn 1 Datsko, Bohdan 1 Hausser, Frank 1 Iskenderov, Asaf Dashdamir 1 Korbel, Jan 1 Loutchko, Joulia 1 Pagnini, Gianni 1 Povstenko, Yuriy Z. 1 Rundell, William 1 Stojanović, Mirjana N. 1 Suzuki, Anna 1 Tarasov, Vasily E. 1 Zuo, Lihua all top 5 Serials 19 Fractional Calculus & Applied Analysis 3 Computers & Mathematics with Applications 3 Integral Transforms and Special Functions 2 Journal of Mathematical Analysis and Applications 2 Journal of Mathematical Physics 2 Mathematical Modelling of Natural Phenomena 2 Handbook of Fractional Calculus with Applications 1 Inverse Problems 1 Journal of Computational Physics 1 Chaos, Solitons and Fractals 1 Applied Mathematics and Computation 1 Journal of Computational and Applied Mathematics 1 Journal of Differential Equations 1 Physica D 1 Mathematica Balkanica. New Series 1 Theory of Probability and Mathematical Statistics 1 Journal of Mathematical Sciences (New York) 1 Analysis (München) 1 Journal of Computational Analysis and Applications 1 Communications in Nonlinear Science and Numerical Simulation 1 Communications in Applied and Industrial Mathematics 1 Axioms 1 Mathematics all top 5 Fields 37 Real functions (26-XX) 29 Integral equations (45-XX) 28 Partial differential equations (35-XX) 21 Special functions (33-XX) 18 Integral transforms, operational calculus (44-XX) 9 Probability theory and stochastic processes (60-XX) 7 Ordinary differential equations (34-XX) 3 General and overarching topics; collections (00-XX) 3 Numerical analysis (65-XX) 2 Functions of a complex variable (30-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Number theory (11-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Fluid mechanics (76-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 45 Publications have been cited 2,321 times in 1,609 Documents Cited by ▼ Year ▼ The fundamental solution of the space-time fractional diffusion equation. Zbl 1054.35156 Mainardi, Francesco; Luchko, Yuri; Pagnini, Gianni 383 2001 Fractional differential equations. Zbl 1410.26004 138 2019 Analytical properties and applications of the Wright function. Zbl 1027.33006 Gorenflo, Rudolf; Luchko, Yuri; Mainardi, Francesco 136 1999 Wright functions as scale-invariant solutions of the diffusion-wave equation. Zbl 0973.35012 Gorenflo, Rudolf; Luchko, Yuri; Mainardi, Francesco 132 2000 Initial-boundary-value problems for the one-dimensional time-fractional diffusion equation. Zbl 1276.26018 Luchko, Yuri 125 2012 Computation of the Mittag-Leffler function \(E_{\alpha,\beta}(z)\) and its derivative. Zbl 1027.33016 Gorenflo, Rudolf; Loutchko, Joulia; Luchko, Yuri 125 2002 Invariance of a partial differential equation of fractional order under the Lie group of scaling transformations. Zbl 0932.58038 Buckwar, Evelyn; Luchko, Yuri 119 1998 Time-fractional diffusion equation in the fractional Sobolev spaces. Zbl 1499.35642 Gorenflo, Rudolf; Luchko, Yuri; Yamamoto, Masahiro 118 2015 Fundamental solution of a distributed order time-fractional diffusion-wave equation as probability density. Zbl 1312.35179 Gorenflo, Rudolf; Luchko, Yuri; Stojanović, Mirjana 85 2013 Operational method in fractional calculus. Zbl 1030.26009 Luchko, Yuri 64 1999 Fractional wave equation and damped waves. Zbl 1302.35408 Luchko, Yuri 59 2013 Numerical solutions of linear multi-term initial value problems of fractional order. Zbl 1083.65064 Diethelm, Kai; Luchko, Yuri 57 2004 General time-fractional diffusion equation: some uniqueness and existence results for the initial-boundary-value problems. Zbl 1499.35667 Luchko, Yuri; Yamamoto, Masahiro 56 2016 Asymptotic estimates of solutions to initial-boundary-value problems for distributed order time-fractional diffusion equations. Zbl 1312.35184 Li, Zhiyuan; Luchko, Yuri; Yamamoto, Masahiro 56 2014 Mapping between solutions of fractional diffusion-wave equations. Zbl 1033.35161 Gorenflo, Rudolf; Iskenderov, Asaf; Luchko, Yuri 53 2000 Fractional Schrödinger equation for a particle moving in a potential well. Zbl 1280.81044 Luchko, Yuri 47 2013 Uniqueness and reconstruction of an unknown semilinear term in a time-fractional reaction-diffusion equation. Zbl 1273.65131 Luchko, Yuri; Rundell, William; Yamamoto, Masahiro; Zuo, Lihua 47 2013 Maximum principle for the multi-term time-fractional diffusion equations with the Riemann-Liouville fractional derivatives. Zbl 1338.35457 Al-Refai, Mohammed; Luchko, Yuri 45 2015 Maximum principle for the fractional diffusion equations with the Riemann-Liouville fractional derivative and its applications. Zbl 1305.34006 Al-Refai, Mohammed; Luchko, Yuri 44 2014 Analyticity of solutions to a distributed order time-fractional diffusion equation and its application to an inverse problem. Zbl 1409.35221 Li, Zhiyuan; Luchko, Yuri; Yamamoto, Masahiro 43 2017 Basic theory. Zbl 1410.26003 42 2019 On the maximum principle for a time-fractional diffusion equation. Zbl 1374.35426 Luchko, Yuri; Yamamoto, Masahiro 35 2017 Propagation speed of the maximum of the fundamental solution to the fractional diffusion-wave equation. Zbl 1381.35226 Luchko, Yuri; Mainardi, Francesco; Povstenko, Yuriy 33 2013 The Mellin integral transform in fractional calculus. Zbl 1312.26016 Luchko, Yuri; Kiryakova, Virginia 30 2013 Operational method for solving generalized Abel integral equation of second kind. Zbl 0887.44003 Gorenflo, Rudolf; Luchko, Yuri 27 1997 Operational calculus for the general fractional derivative and its applications. Zbl 1498.26013 Luchko, Yuri 26 2021 Modeling of financial processes with a space-time fractional diffusion equation of varying order. Zbl 1354.91178 Korbel, Jan; Luchko, Yuri 23 2016 Wave-diffusion dualism of the neutral-fractional processes. Zbl 1349.35402 Luchko, Yuri 21 2015 Multi-dimensional fractional wave equation and some properties of its fundamental solution. Zbl 1329.35335 Luchko, Yuri 20 2014 On some new properties of the fundamental solution to the multi-dimensional space- and time-fractional diffusion-wave equation. Zbl 1474.35666 Luchko, Yuri 17 2017 Multi-dimensional \(\alpha\)-fractional diffusion-wave equation and some properties of its fundamental solution. Zbl 1386.35427 Boyadjiev, Lyubomir; Luchko, Yuri 17 2017 A new fractional calculus model for the two-dimensional anomalous diffusion and its analysis. Zbl 1393.35280 Luchko, Yu. 16 2016 Mellin integral transform approach to analyze the multidimensional diffusion-wave equations. Zbl 1374.35419 Boyadjiev, Lyubomir; Luchko, Yuri 16 2017 Analysis of fractional diffusion equations of distributed order: maximum principles and their applications. Zbl 1381.35208 Al-Refai, Mohammed; Luchko, Yuri 16 2016 Fractional derivatives and the fundamental theorem of fractional calculus. Zbl 1474.26024 Luchko, Yuri 14 2020 Complex oscillations and limit cycles in autonomous two-component incommensurate fractional dynamical systems. Zbl 1275.26015 Datsko, Bohdan; Luchko, Yuri 9 2012 Comparison principles for solutions to the fractional differential inequalities with the general fractional derivatives and their applications. Zbl 1505.34007 Al-Refai, Mohammed; Luchko, Yuri 8 2022 Convolution series and the generalized convolution Taylor formula. Zbl 1503.26012 Luchko, Yuri 8 2022 Entropy production rate of a one-dimensional alpha-fractional diffusion process. Zbl 1415.35283 Luchko, Yuri 7 2016 The neutral-fractional telegraph equation. Zbl 1398.35262 Boyadjiev, L.; Luchko, Yu. 6 2017 Subordination principles for the multi-dimensional space-time-fractional diffusion-wave equation. Zbl 1461.35007 Luchko, Yu. 6 2019 Operational method for solving fractional differential equations with the left-and right-hand sided Erdélyi-Kober fractional derivatives. Zbl 1441.34009 Hanna, Latif A-M.; Al-Kandari, Maryam; Luchko, Yuri 6 2020 On the distribution of zeros of the Wright function. Zbl 1057.33014 Luchko, Yuri 4 2001 On the maximum principle for the multi-term fractional transport equation. Zbl 1475.35092 Luchko, Yuri; Suzuki, Anna; Yamamoto, Masahiro 3 2022 Multidimensional scaling and visualization of patterns in distribution of nontrivial zeros of the zeta-function. Zbl 1469.11298 Machado, J. Tenreiro; Luchko, Yuri 1 2021 Comparison principles for solutions to the fractional differential inequalities with the general fractional derivatives and their applications. Zbl 1505.34007 Al-Refai, Mohammed; Luchko, Yuri 8 2022 Convolution series and the generalized convolution Taylor formula. Zbl 1503.26012 Luchko, Yuri 8 2022 On the maximum principle for the multi-term fractional transport equation. Zbl 1475.35092 Luchko, Yuri; Suzuki, Anna; Yamamoto, Masahiro 3 2022 Operational calculus for the general fractional derivative and its applications. Zbl 1498.26013 Luchko, Yuri 26 2021 Multidimensional scaling and visualization of patterns in distribution of nontrivial zeros of the zeta-function. Zbl 1469.11298 Machado, J. Tenreiro; Luchko, Yuri 1 2021 Fractional derivatives and the fundamental theorem of fractional calculus. Zbl 1474.26024 Luchko, Yuri 14 2020 Operational method for solving fractional differential equations with the left-and right-hand sided Erdélyi-Kober fractional derivatives. Zbl 1441.34009 Hanna, Latif A-M.; Al-Kandari, Maryam; Luchko, Yuri 6 2020 Fractional differential equations. Zbl 1410.26004 138 2019 Basic theory. Zbl 1410.26003 42 2019 Subordination principles for the multi-dimensional space-time-fractional diffusion-wave equation. Zbl 1461.35007 Luchko, Yu. 6 2019 Analyticity of solutions to a distributed order time-fractional diffusion equation and its application to an inverse problem. Zbl 1409.35221 Li, Zhiyuan; Luchko, Yuri; Yamamoto, Masahiro 43 2017 On the maximum principle for a time-fractional diffusion equation. Zbl 1374.35426 Luchko, Yuri; Yamamoto, Masahiro 35 2017 On some new properties of the fundamental solution to the multi-dimensional space- and time-fractional diffusion-wave equation. Zbl 1474.35666 Luchko, Yuri 17 2017 Multi-dimensional \(\alpha\)-fractional diffusion-wave equation and some properties of its fundamental solution. Zbl 1386.35427 Boyadjiev, Lyubomir; Luchko, Yuri 17 2017 Mellin integral transform approach to analyze the multidimensional diffusion-wave equations. Zbl 1374.35419 Boyadjiev, Lyubomir; Luchko, Yuri 16 2017 The neutral-fractional telegraph equation. Zbl 1398.35262 Boyadjiev, L.; Luchko, Yu. 6 2017 General time-fractional diffusion equation: some uniqueness and existence results for the initial-boundary-value problems. Zbl 1499.35667 Luchko, Yuri; Yamamoto, Masahiro 56 2016 Modeling of financial processes with a space-time fractional diffusion equation of varying order. Zbl 1354.91178 Korbel, Jan; Luchko, Yuri 23 2016 A new fractional calculus model for the two-dimensional anomalous diffusion and its analysis. Zbl 1393.35280 Luchko, Yu. 16 2016 Analysis of fractional diffusion equations of distributed order: maximum principles and their applications. Zbl 1381.35208 Al-Refai, Mohammed; Luchko, Yuri 16 2016 Entropy production rate of a one-dimensional alpha-fractional diffusion process. Zbl 1415.35283 Luchko, Yuri 7 2016 Time-fractional diffusion equation in the fractional Sobolev spaces. Zbl 1499.35642 Gorenflo, Rudolf; Luchko, Yuri; Yamamoto, Masahiro 118 2015 Maximum principle for the multi-term time-fractional diffusion equations with the Riemann-Liouville fractional derivatives. Zbl 1338.35457 Al-Refai, Mohammed; Luchko, Yuri 45 2015 Wave-diffusion dualism of the neutral-fractional processes. Zbl 1349.35402 Luchko, Yuri 21 2015 Asymptotic estimates of solutions to initial-boundary-value problems for distributed order time-fractional diffusion equations. Zbl 1312.35184 Li, Zhiyuan; Luchko, Yuri; Yamamoto, Masahiro 56 2014 Maximum principle for the fractional diffusion equations with the Riemann-Liouville fractional derivative and its applications. Zbl 1305.34006 Al-Refai, Mohammed; Luchko, Yuri 44 2014 Multi-dimensional fractional wave equation and some properties of its fundamental solution. Zbl 1329.35335 Luchko, Yuri 20 2014 Fundamental solution of a distributed order time-fractional diffusion-wave equation as probability density. Zbl 1312.35179 Gorenflo, Rudolf; Luchko, Yuri; Stojanović, Mirjana 85 2013 Fractional wave equation and damped waves. Zbl 1302.35408 Luchko, Yuri 59 2013 Fractional Schrödinger equation for a particle moving in a potential well. Zbl 1280.81044 Luchko, Yuri 47 2013 Uniqueness and reconstruction of an unknown semilinear term in a time-fractional reaction-diffusion equation. Zbl 1273.65131 Luchko, Yuri; Rundell, William; Yamamoto, Masahiro; Zuo, Lihua 47 2013 Propagation speed of the maximum of the fundamental solution to the fractional diffusion-wave equation. Zbl 1381.35226 Luchko, Yuri; Mainardi, Francesco; Povstenko, Yuriy 33 2013 The Mellin integral transform in fractional calculus. Zbl 1312.26016 Luchko, Yuri; Kiryakova, Virginia 30 2013 Initial-boundary-value problems for the one-dimensional time-fractional diffusion equation. Zbl 1276.26018 Luchko, Yuri 125 2012 Complex oscillations and limit cycles in autonomous two-component incommensurate fractional dynamical systems. Zbl 1275.26015 Datsko, Bohdan; Luchko, Yuri 9 2012 Numerical solutions of linear multi-term initial value problems of fractional order. Zbl 1083.65064 Diethelm, Kai; Luchko, Yuri 57 2004 Computation of the Mittag-Leffler function \(E_{\alpha,\beta}(z)\) and its derivative. Zbl 1027.33016 Gorenflo, Rudolf; Loutchko, Joulia; Luchko, Yuri 125 2002 The fundamental solution of the space-time fractional diffusion equation. Zbl 1054.35156 Mainardi, Francesco; Luchko, Yuri; Pagnini, Gianni 383 2001 On the distribution of zeros of the Wright function. Zbl 1057.33014 Luchko, Yuri 4 2001 Wright functions as scale-invariant solutions of the diffusion-wave equation. Zbl 0973.35012 Gorenflo, Rudolf; Luchko, Yuri; Mainardi, Francesco 132 2000 Mapping between solutions of fractional diffusion-wave equations. Zbl 1033.35161 Gorenflo, Rudolf; Iskenderov, Asaf; Luchko, Yuri 53 2000 Analytical properties and applications of the Wright function. Zbl 1027.33006 Gorenflo, Rudolf; Luchko, Yuri; Mainardi, Francesco 136 1999 Operational method in fractional calculus. Zbl 1030.26009 Luchko, Yuri 64 1999 Invariance of a partial differential equation of fractional order under the Lie group of scaling transformations. Zbl 0932.58038 Buckwar, Evelyn; Luchko, Yuri 119 1998 Operational method for solving generalized Abel integral equation of second kind. Zbl 0887.44003 Gorenflo, Rudolf; Luchko, Yuri 27 1997 all cited Publications top 5 cited Publications all top 5 Cited by 1,943 Authors 38 Mainardi, Francesco 35 Liu, Fawang 32 Yamamoto, Masahiro 31 Băleanu, Dumitru I. 29 Luchko, Yuri 24 Zheng, Xiangcheng 22 Turner, Ian William 21 Pagnini, Gianni 21 Wang, Hong 20 Fernandez, Arran 19 Gorenflo, Rudolf 19 Povstenko, Yuriy Z. 18 Li, Zhiyuan 18 Nguyen Huy Tuan 17 Anh, Vo V. 15 Garrappa, Roberto 15 Zhou, Zhi 14 Al-Refai, Mohammed 13 Jin, Bangti 13 Luchko, Yurii F. 13 Sun, Zhizhong 13 Wang, Jinrong 13 Zaky, Mahmoud A. 13 Zhou, Yong 11 Ansari, Alireza 11 Kian, Yavar 11 Liu, Yikan 11 Roscani, Sabrina D. 11 Saxena, Ram Kishore 11 Stynes, Martin Joseph 11 Wei, Ting 10 Ashurov, Ravshan Rajabovich 10 Jiang, Xiaoyun 10 Malik, Salman A. 10 Sandev, Trifce 10 Sin, Chung-Sik 10 Tarasov, Vasily E. 10 Tomovski, Živorad 9 Hendy, Ahmed S. 9 Kirane, Mokhtar 9 Machado, José António Tenreiro 9 Odibat, Zaid M. 9 Płociniczak, Łukasz 9 Pskhu, Arsen Vladimirovich 9 Yang, Xuehua 9 Zhang, Haixiang 8 Abdeljawad, Thabet 8 Bazhlekova, Emilia G. 8 Chechkin, Aleksei V. 8 Ford, Neville J. 8 Hai, Dinh Nguyen Duy 8 Khushtova, Fatima Gidovna 8 Kiryakova, Virginia S. 8 Li, Gongsheng 8 Lizama, Carlos 8 Singla, Komal 8 Sun, Liangliang 8 Tang, Yifa 7 Abdel-Rehim, Entsar A. 7 Bu, Weiping 7 de Oliveira, Edmundo Capelas 7 Kolokoltsov, Vassili N. 7 Li, Xiaoxiao 7 Meerschaert, Mark Marvin 7 Metzler, Ralf 7 Momani, Shaher M. 7 O’Regan, Donal 7 Rogosin, Sergei V. 7 Tarzia, Domingo Alberto 7 Trong, Dang Duc 7 Yang, Fan 7 Zhang, Zhidong 6 Alikhanov, Anatoliĭ Alievich 6 Atanackovic, Teodor M. 6 Beghin, Luisa 6 D’Ovidio, Mirko 6 Ferreira, Milton 6 Gao, Guanghua 6 Garra, Roberto 6 Gómez-Aguilar, José Francisco 6 Gupta, Rajesh Kumar 6 Haubold, Hans Joachim 6 Hofmann, Bernd 6 Huang, Xinchi 6 Kaminski Lenzi, Ervin 6 Lapin, Aleksandr Vasil’evich 6 Lazarov, Raytcho D. 6 Li, Hong 6 Li, Miao 6 Liu, Yang 6 Mathai, Arakaparampli Mathai 6 Popolizio, Marina 6 Sun, Chunlong 6 Suragan, Durvudkhan 6 Umarov, Sabir R. 6 van Bockstal, Karel 6 Vieira, Nelson 6 Xu, Da 6 Zhang, Zhiyong 5 Arshad, Muhammad ...and 1,843 more Authors all top 5 Cited in 314 Serials 185 Fractional Calculus & Applied Analysis 61 Applied Mathematics and Computation 59 Journal of Computational and Applied Mathematics 55 Computers & Mathematics with Applications 37 Advances in Difference Equations 36 Communications in Nonlinear Science and Numerical Simulation 33 Chaos, Solitons and Fractals 29 Journal of Computational Physics 29 Journal of Mathematical Physics 28 Physica A 27 Mathematical Methods in the Applied Sciences 27 Journal of Scientific Computing 26 Computational and Applied Mathematics 25 Inverse Problems 25 Journal of Mathematical Analysis and Applications 25 Applied Numerical Mathematics 22 Integral Transforms and Special Functions 21 Nonlinear Dynamics 17 Applied Mathematics Letters 17 Journal of Applied Mathematics and Computing 15 Mathematics and Computers in Simulation 15 Numerical Algorithms 13 Journal of Differential Equations 13 Abstract and Applied Analysis 12 International Journal of Computer Mathematics 12 Journal of Inverse and Ill-Posed Problems 12 Mathematical Problems in Engineering 12 Lobachevskii Journal of Mathematics 12 Inverse Problems in Science and Engineering 11 Numerical Methods for Partial Differential Equations 11 Mathematics 10 Applied Mathematical Modelling 10 Stochastic Processes and their Applications 10 International Journal of Differential Equations 10 Journal of Function Spaces 9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 9 SIAM Journal on Numerical Analysis 9 Computational Methods in Applied Mathematics 9 Boundary Value Problems 9 Advances in Mathematical Physics 8 Applicable Analysis 8 Fractional Differential Calculus 7 ZAMP. Zeitschrift für angewandte Mathematik und Physik 7 Journal of Physics A: Mathematical and Theoretical 7 Inverse Problems and Imaging 7 Evolution Equations and Control Theory 6 Computer Methods in Applied Mechanics and Engineering 6 BIT 6 Physica D 6 Advances in Computational Mathematics 6 Journal of Evolution Equations 6 Communications on Pure and Applied Analysis 6 Journal of Nonlinear Science and Applications 6 International Journal of Applied and Computational Mathematics 6 AIMS Mathematics 5 Journal of Statistical Physics 5 Journal of Mathematical Sciences (New York) 5 Turkish Journal of Mathematics 5 Mediterranean Journal of Mathematics 5 Mathematical Modelling of Natural Phenomena 5 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 5 Electronic Research Archive 4 Lithuanian Mathematical Journal 4 Reports on Mathematical Physics 4 Calcolo 4 Journal of Functional Analysis 4 Monatshefte für Mathematik 4 Semigroup Forum 4 Acta Mathematicae Applicatae Sinica. English Series 4 Journal of Integral Equations and Applications 4 SIAM Journal on Mathematical Analysis 4 Russian Mathematics 4 Fractals 4 Engineering Analysis with Boundary Elements 4 Boletín de la Sociedad Matemática Mexicana. Third Series 4 Taiwanese Journal of Mathematics 4 The ANZIAM Journal 4 Nonlinear Analysis. Modelling and Control 4 Discrete and Continuous Dynamical Systems. Series B 4 Journal of Applied Mathematics 4 International Journal of Geometric Methods in Modern Physics 4 Waves in Random and Complex Media 4 Discrete and Continuous Dynamical Systems. Series S 4 Tbilisi Mathematical Journal 4 Ufimskiĭ Matematicheskiĭ Zhurnal 4 Axioms 4 Journal of Mathematics 3 Acta Mechanica 3 Advances in Applied Probability 3 Computer Physics Communications 3 International Journal of Theoretical Physics 3 Mathematical Notes 3 Ukrainian Mathematical Journal 3 Mathematics of Computation 3 Journal of Optimization Theory and Applications 3 Mathematische Nachrichten 3 Meccanica 3 Zeitschrift für Analysis und ihre Anwendungen 3 Statistics & Probability Letters 3 Annals of Physics ...and 214 more Serials all top 5 Cited in 50 Fields 1,007 Partial differential equations (35-XX) 523 Real functions (26-XX) 479 Numerical analysis (65-XX) 278 Ordinary differential equations (34-XX) 225 Special functions (33-XX) 171 Probability theory and stochastic processes (60-XX) 154 Integral equations (45-XX) 123 Operator theory (47-XX) 93 Integral transforms, operational calculus (44-XX) 64 Fluid mechanics (76-XX) 53 Statistical mechanics, structure of matter (82-XX) 47 Mechanics of deformable solids (74-XX) 41 Classical thermodynamics, heat transfer (80-XX) 40 Quantum theory (81-XX) 36 Calculus of variations and optimal control; optimization (49-XX) 32 Systems theory; control (93-XX) 28 Functions of a complex variable (30-XX) 26 Harmonic analysis on Euclidean spaces (42-XX) 24 Dynamical systems and ergodic theory (37-XX) 24 Biology and other natural sciences (92-XX) 18 Functional analysis (46-XX) 17 Approximations and expansions (41-XX) 16 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 14 Statistics (62-XX) 11 Information and communication theory, circuits (94-XX) 10 Global analysis, analysis on manifolds (58-XX) 10 Optics, electromagnetic theory (78-XX) 9 Mechanics of particles and systems (70-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 7 Topological groups, Lie groups (22-XX) 7 Potential theory (31-XX) 6 Difference and functional equations (39-XX) 5 History and biography (01-XX) 5 Measure and integration (28-XX) 5 Geophysics (86-XX) 4 Number theory (11-XX) 4 Sequences, series, summability (40-XX) 3 Relativity and gravitational theory (83-XX) 3 Operations research, mathematical programming (90-XX) 2 Combinatorics (05-XX) 2 Nonassociative rings and algebras (17-XX) 2 Group theory and generalizations (20-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Computer science (68-XX) 1 General and overarching topics; collections (00-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Abstract harmonic analysis (43-XX) 1 Mathematics education (97-XX) Citations by Year