Fractional Calculus & Applied AnalysisAn International Journal for Theory and Applications Short Title: Fract. Calc. Appl. Anal. Publisher: Springer Nature Switzerland, Basel; Bulgarian Academy of Sciences, Institute of Mathematics and Informatics, Sofia ISSN: 1311-0454; 1314-2224/e Online: https://link.springer.com/journal/13540/volumes-and-issueshttps://www.degruyter.com/journal/key/fca/htmlhttp://www.math.bas.bg/~fcaa/ Comments: Journal; Indexed cover-to-cover Documents Indexed: 1,425 Publications (since 1998) References Indexed: 989 Publications with 31,333 References. all top 5 Latest Issues 27, No. 1 (2024) 26, No. 6 (2023) 26, No. 5 (2023) 26, No. 4 (2023) 26, No. 3 (2023) 26, No. 2 (2023) 26, No. 1 (2023) 25, No. 6 (2022) 25, No. 5 (2022) 25, No. 4 (2022) 25, No. 3 (2022) 25, No. 2 (2022) 25, No. 1 (2022) 24, No. 6 (2021) 24, No. 5 (2021) 24, No. 4 (2021) 24, No. 3 (2021) 24, No. 2 (2021) 24, No. 1 (2021) 23, No. 6 (2020) 23, No. 5 (2020) 23, No. 4 (2020) 23, No. 3 (2020) 23, No. 2 (2020) 23, No. 1 (2020) 22, No. 6 (2019) 22, No. 5 (2019) 22, No. 4 (2019) 22, No. 3 (2019) 22, No. 2 (2019) 22, No. 1 (2019) 21, No. 6 (2018) 21, No. 5 (2018) 21, No. 4 (2018) 21, No. 3 (2018) 21, No. 2 (2018) 21, No. 1 (2018) 20, No. 6 (2017) 20, No. 5 (2017) 20, No. 4 (2017) 20, No. 3 (2017) 20, No. 2 (2017) 20, No. 1 (2017) 19, No. 6 (2016) 19, No. 5 (2016) 19, No. 4 (2016) 19, No. 3 (2016) 19, No. 2 (2016) 19, No. 1 (2016) 18, No. 6 (2015) 18, No. 5 (2015) 18, No. 4 (2015) 18, No. 3 (2015) 18, No. 2 (2015) 18, No. 1 (2015) 17, No. 4 (2014) 17, No. 3 (2014) 17, No. 2 (2014) 17, No. 1 (2014) 16, No. 4 (2013) 16, No. 3 (2013) 16, No. 2 (2013) 16, No. 1 (2013) 15, No. 4 (2012) 15, No. 3 (2012) 15, No. 2 (2012) 15, No. 1 (2012) 14, No. 4 (2011) 14, No. 3 (2011) 14, No. 2 (2011) 14, No. 1 (2011) 13, No. 5 (2010) 13, No. 4 (2010) 13, No. 3 (2010) 13, No. 2 (2010) 13, No. 1 (2010) 12, No. 4 (2009) 12, No. 3 (2009) 12, No. 2 (2009) 12, No. 1 (2009) 11, No. 4 (2008) 11, No. 3 (2008) 11, No. 2 (2008) 11, No. 1 (2008) 10, No. 4 (2007) 10, No. 3 (2007) 10, No. 2 (2007) 10, No. 1 (2007) Index 1-10 (2007) 9, No. 4 (2006) 9, No. 3 (2006) 9, No. 2 (2006) 9, No. 1 (2006) 8, No. 4 (2005) 8, No. 3 (2005) 8, No. 2 (2005) 8, No. 1 (2005) 7, No. 4 (2004) 7, No. 3 (2004) 7, No. 2 (2004) ...and 24 more Volumes all top 5 Authors 53 Kiryakova, Virginia S. 32 Samko, Stefan Grigor’evich 26 Machado, José António Tenreiro 23 Kilbas, Anatoliĭ Aleksandrovich 23 Mainardi, Francesco 22 Chen, Yangquan 20 Luchko, Yuri 17 Gorenflo, Rudolf 16 Trujillo, Juan J. 16 Umarov, Sabir R. 14 Diethelm, Kai 14 Podlubny, Igor 14 Rubin, Boris 13 Băleanu, Dumitru I. 12 Luchko, Yurii F. 12 Yamamoto, Masahiro 11 Atanackovic, Teodor M. 11 Meerschaert, Mark Marvin 11 Pagnini, Gianni 10 Kalla, Shyam Lal 10 Rogosin, Sergei V. 10 Rusev, Petăr Kirilov 10 Vu Kim Tuan 9 Ahmad, Bashir 9 Bazhlekova, Emilia G. 9 Dimovski, Ivan Hristov 9 Kirane, Mokhtar 9 Kokilashvili, Vakhtang 9 Li, Changpin 9 Przeworska-Rolewicz, Danuta 9 Tomovski, Živorad 8 Benchohra, Mouffak 8 Ford, Neville J. 8 Henderson, Johnny Lee 8 Karapetyants, Alekseĭ Nikolaevich 8 Meskhi, Alexander 8 O’Regan, Donal 8 Owa, Shigeyoshi 8 Paneva-Konovska, Jordanka D. 8 Pilipović, Stevan 7 Agarwal, Ravi P. 7 Daftardar-Gejji, Varsha 7 Garrappa, Roberto 7 Graef, John R. 7 Liu, Fawang 7 Nogin, Vladimir Aleksandrovich 7 Petras, Ivo 7 Povstenko, Yuriy Z. 7 Samko, Natasha 7 Sun, Hongguang 7 Zhou, Yong 6 Boyadjiev, Lyubomir I. 6 Chen, Wen 6 Kaczorek, Tadeusz 6 Karapetyants, Nikolaĭ Karapetovich 6 Lanusse, Patrick 6 Matychyn, Ivan I. 6 Nieto Roig, Juan Jose 6 Nigmatullin, Raoul R. 6 Rafeiro, Humberto 6 Scalas, Enrico 6 Srivastava, Hari Mohan 6 Stanković, Bogoljub 6 Tersian, Stepan Agop 6 Zeng, Caibin 5 Abbas, Said 5 Anh, Vo V. 5 Ashurov, Ravshan Rajabovich 5 Cernea, Aurelian 5 Dattoli, Giuseppe 5 Ding, Xiaoli 5 Garra, Roberto 5 Giusti, Andrea 5 Hilfer, Rudolf 5 Jacob, Niels 5 Karasev, Denis Nikolaevich 5 Kempfle, Siegmar 5 Kolokoltsov, Vassili N. 5 Leonenko, Nikolai N. 5 Li, Gang 5 Liang, Yingjie 5 Liu, Zhenhai 5 Lopes, António M. 5 McBride, Adam C. 5 Mejjaoli, Hatem 5 Metzler, Ralf 5 Ntouyas, Sotiris K. 5 Onyshchenko, Viktoriia 5 Ortigueira, Manuel D. 5 Ruzhansky, Michael V. 5 Saxena, Ram Kishore 5 Skórnik, Krystyna A. 5 Tuan, Hoang The 5 Victor, Stéphane 5 Vinagre, Blas Manuel 5 Virchenko, Nina A. 5 Wang, Hong 5 Wu, Guocheng 5 Zayed, Ahmed I. 4 Agrawal, Om Prakash ...and 1,645 more Authors all top 5 Fields 718 Real functions (26-XX) 418 Partial differential equations (35-XX) 417 Ordinary differential equations (34-XX) 267 Special functions (33-XX) 187 Operator theory (47-XX) 155 Probability theory and stochastic processes (60-XX) 152 Integral transforms, operational calculus (44-XX) 142 Numerical analysis (65-XX) 131 Integral equations (45-XX) 111 Harmonic analysis on Euclidean spaces (42-XX) 110 Systems theory; control (93-XX) 104 Functional analysis (46-XX) 68 Functions of a complex variable (30-XX) 66 History and biography (01-XX) 40 Mechanics of deformable solids (74-XX) 36 Calculus of variations and optimal control; optimization (49-XX) 34 Difference and functional equations (39-XX) 29 Measure and integration (28-XX) 28 Approximations and expansions (41-XX) 26 General and overarching topics; collections (00-XX) 25 Fluid mechanics (76-XX) 22 Potential theory (31-XX) 20 Dynamical systems and ergodic theory (37-XX) 18 Abstract harmonic analysis (43-XX) 18 Information and communication theory, circuits (94-XX) 17 Classical thermodynamics, heat transfer (80-XX) 16 Statistical mechanics, structure of matter (82-XX) 16 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 16 Biology and other natural sciences (92-XX) 15 Global analysis, analysis on manifolds (58-XX) 14 Statistics (62-XX) 13 Mechanics of particles and systems (70-XX) 12 Number theory (11-XX) 11 Optics, electromagnetic theory (78-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 10 Computer science (68-XX) 9 Geophysics (86-XX) 6 Sequences, series, summability (40-XX) 6 Quantum theory (81-XX) 4 Combinatorics (05-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Differential geometry (53-XX) 4 Operations research, mathematical programming (90-XX) 3 Mathematical logic and foundations (03-XX) 3 Relativity and gravitational theory (83-XX) 3 Astronomy and astrophysics (85-XX) 2 Topological groups, Lie groups (22-XX) 2 Convex and discrete geometry (52-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 1,115 Publications have been cited 18,056 times in 11,033 Documents Cited by ▼ Year ▼ The fundamental solution of the space-time fractional diffusion equation. Zbl 1054.35156 Mainardi, Francesco; Luchko, Yuri; Pagnini, Gianni 432 2001 Geometric and physical interpretation of fractional integration and fractional differentiation. Zbl 1042.26003 Podlubny, Igor 387 2002 Ten equivalent definitions of the fractional Laplace operator. Zbl 1375.47038 Kwaśnicki, Mateusz 300 2017 Numerical methods for solving the multi-term time-fractional wave-diffusion equation. Zbl 1312.65138 Liu, Fawang; Meerschaert, Mark; McGough, Robert; Zhuang, Pinghui; Liu, Qingxia 233 2013 A new dissipation model based on memory mechanism. Zbl 1213.74005 Caputo, M.; Mainardi, F. 209 2007 Operational method for the solution of fractional differential equations with generalized Riemann-Liouville fractional derivatives. Zbl 1182.26011 Hilfer, Rudolf; Luchko, Yury; Tomovski, Živorad 194 2009 Random walk models for space-fractional diffusion processes. Zbl 0946.60039 Gorenflo, R.; Mainardi, F. 153 1998 Analytical properties and applications of the Wright function. Zbl 1027.33006 Gorenflo, Rudolf; Luchko, Yuri; Mainardi, Francesco 147 1999 Boundary value problems for the generalized time-fractional diffusion equation of distributed order. Zbl 1198.26012 Luchko, Yury 140 2009 Computation of the Mittag-Leffler function \(E_{\alpha,\beta}(z)\) and its derivative. Zbl 1027.33016 Gorenflo, Rudolf; Loutchko, Joulia; Luchko, Yuri 138 2002 A survey on impulsive fractional differential equations. Zbl 1344.35169 Wang, JinRong; Fečkan, Michal; Zhou, Yong 136 2016 Initial-boundary-value problems for the one-dimensional time-fractional diffusion equation. Zbl 1276.26018 Luchko, Yuri 134 2012 Time-fractional diffusion equation in the fractional Sobolev spaces. Zbl 1499.35642 Gorenflo, Rudolf; Luchko, Yuri; Yamamoto, Masahiro 131 2015 Numerical approximation of a fractional-in-space diffusion equation. I. Zbl 1126.26009 Ilic, M.; Liu, Fawang; Turner, I.; Anh, V. 129 2005 A review on variable-order fractional differential equations: mathematical foundations, physical models, numerical methods and applications. Zbl 1428.34001 Sun, HongGuang; Chang, Ailian; Zhang, Yong; Chen, Wen 128 2019 A finite element method for time fractional partial differential equations. Zbl 1273.65142 Ford, Neville J.; Xiao, Jingyu; Yan, Yubin 124 2011 Distributed order differential equations modelling dielectric induction and diffusion. Zbl 1042.34028 Caputo, Michele 117 2001 Distributed order time fractional diffusion equation. Zbl 1089.60046 Chechkin, A. V.; Gorenflo, R.; Sokolov, I. M.; Gonchar, V. Yu. 115 2003 Numerical approximation of a fractional-in space diffusion equation. II. With nonhomogeneous boundary conditions. Zbl 1132.35507 Ilic, M.; Liu, F.; Turner, I.; Anh, V. 115 2006 Some approximations of fractional order operators used in control theory and applications. Zbl 1111.93302 Vinagre, B. M.; Podlubny, I.; Hernández, A.; Feliu, V. 111 2000 Stochastic solutions for fractional Cauchy problems. Zbl 1057.35102 Baeumer, Boris; Meerschaert, Mark M. 111 2001 A Lyapunov-type inequality for a fractional boundary value problem. Zbl 1312.34013 Ferreira, Rui 107 2013 A fully Hadamard type integral boundary value problem of a coupled system of fractional differential equations. Zbl 1312.34005 Ahmad, Bashir; Ntouyas, Sotiris K. 104 2014 Spectral approximations to the fractional integral and derivative. Zbl 1276.26016 Li, Changpin; Zeng, Fanhai; Liu, Fawang 98 2012 Matrix approach to discrete fractional calculus. Zbl 1030.26011 Podlubny, Igor 96 2000 Too much regularity may force too much uniqueness. Zbl 1353.35306 Stynes, Martin 96 2016 The fractional Black-Scholes equation. Zbl 1058.91045 Wyss, Walter 94 2000 Fundamental solution of a distributed order time-fractional diffusion-wave equation as probability density. Zbl 1312.35179 Gorenflo, Rudolf; Luchko, Yuri; Stojanović, Mirjana 92 2013 Linear models of dissipation whose \(Q\) is almost frequency independent. II. (Reprint). Zbl 1210.65130 Caputo, Michele 92 2008 The maximal operator on weighted variable Lebesgue spaces. Zbl 1273.42018 Cruz-Uribe, David; Diening, Lars; Hästö, Peter 86 2011 Some generalized fractional calculus operators and their applications in integral equations. Zbl 1312.26010 Agrawal, Om P. 84 2012 On explicit stability conditions for a linear fractional difference system. Zbl 1320.39004 Čermák, Jan; Gyori, István; Nechvátal, Ludĕk 80 2015 Fractional calculus for power functions and eigenvalues of the fractional Laplacian. Zbl 1312.35176 Dyda, Bartłlomiej 79 2012 Discrete-time fractional-order controllers. Zbl 1111.93307 Machado, J. A. Tenreiro 78 2001 Existence of solutions to boundary value problem for impulsive fractional differential equations. Zbl 1308.34010 Bonanno, Gabriele; Rodríguez-López, Rosana; Tersian, Stepan 78 2014 Caputo-type modification of the Erdélyi-Kober fractional derivatives. Zbl 1152.26304 Luchko, Yury; Trujillo, Juan J. 75 2007 On the oscillation of fractional differential equations. Zbl 1273.34007 Grace, Said R.; Agarwal, Ravi P.; Wong, Patricia J. Y.; Zafer, Ağacık 72 2012 Stability of fractional-order systems with rational orders: a survey. Zbl 1182.26017 Petráš, Ivo 72 2009 Operational method in fractional calculus. Zbl 1030.26009 Luchko, Yuri 71 1999 Strong maximum principle for fractional diffusion equations and an application to an inverse source problem. Zbl 1346.35216 Liu, Yikan; Rundell, William; Yamamoto, Masahiro 71 2016 On existence and uniqueness of solutions for semilinear fractional wave equations. Zbl 1362.35323 Kian, Yavar; Yamamoto, Masahiro 67 2017 A survey of Lyapunov functions, stability and impulsive Caputo fractional differential equations. Zbl 1343.34006 Agarwal, Ravi; Hristova, Snezhana; O’Regan, Donal 67 2016 Fractional diffusion on bounded domains. Zbl 1488.35557 Defterli, Ozlem; D’Elia, Marta; Du, Qiang; Gunzburger, Max; Lehoucq, Rich; Meerschaert, Mark M. 66 2015 General time-fractional diffusion equation: some uniqueness and existence results for the initial-boundary-value problems. Zbl 1499.35667 Luchko, Yuri; Yamamoto, Masahiro 66 2016 On the generalized Wright function. Zbl 1027.33015 Kilbas, Anatoly A.; Saigo, Megumi; Trujillo, Juan J. 65 2002 An historical perspective on fractional calculus in linear viscoelasticity. Zbl 1314.74005 Mainardi, Francesco 65 2012 On a system of fractional differential equations with coupled integral boundary conditions. Zbl 1315.34012 Henderson, Johnny; Luca, Rodica; Tudorache, Alexandru 65 2015 Initial-boundary value problems for fractional diffusion equations with time-dependent coefficients. Zbl 1398.35271 Kubica, Adam; Yamamoto, Masahiro 65 2018 Scale-invariant solutions of a partial differential equation of fractional order. Zbl 0940.45001 Luchko, Yu.; Gorenflo, R. 63 1998 Some pioneers of the applications of fractional calculus. Zbl 1305.26008 Valério, Duarte; Machado, José Tenreiro; Kiryakova, Virginia 63 2014 On the existence of solutions of fractional integro-differential equations. Zbl 1279.45008 Aghajani, Asadollah; Jalilian, Yaghoub; Trujillo, Juan J. 63 2012 Decay solutions for a class of fractional differential variational inequalities. Zbl 1319.49012 Dinh Ke, Tran; Van Loi, Nguyen; Obukhovskii, Valeri 62 2015 Time-fractional derivatives in relaxation processes: a tutorial survey. Zbl 1157.26304 Mainardi, Francesco; Gorenflo, Rudolf 62 2007 Maximum principles for multi-term space-time variable-order fractional diffusion equations and their applications. Zbl 1381.35225 Liu, Zhenhai; Zeng, Shengda; Bai, Yunru 62 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 61 2014 High-order approximation to Caputo derivatives and Caputo-type advection-diffusion equations. II. Zbl 1325.65121 Cao, Jianxiong; Li, Changpin; Chen, YangQuan 61 2015 Erdélyi-Kober fractional diffusion. Zbl 1276.26021 Pagnini, Gianni 61 2012 A novel unstructured mesh finite element method for solving the time-space fractional wave equation on a two-dimensional irregular convex domain. Zbl 1364.65162 Fan, Wenping; Liu, Fawang; Jiang, Xiaoyun; Turner, Ian 60 2017 On \(q\)-analogues of Caputo derivative and Mittag-Leffler function. Zbl 1157.33325 Rajković, Predrag M.; Marinković, Sladjana D.; Stanković, Miomir S. 60 2007 Mapping between solutions of fractional diffusion-wave equations. Zbl 1033.35161 Gorenflo, Rudolf; Iskenderov, Asaf; Luchko, Yuri 59 2000 A brief story about the operators of the generalized fractional calculus. Zbl 1153.26003 Kiryakova, Virginia 59 2008 Uniqueness of solution for higher-order fractional differential equations with conjugate type integral conditions. Zbl 1395.34010 Zhang, Xingqiu; Zhong, Qiuyan 59 2017 Maximum principle and its application for the time-fractional diffusion equations. Zbl 1273.35297 Luchko, Yury 58 2011 Fractional calculus in image processing: a review. Zbl 1499.94016 Yang, Qi; Chen, Dali; Zhao, Tiebiao; Chen, YangQuan 58 2016 Invariant subspace method and exact solutions of certain nonlinear time fractional partial differential equations. Zbl 1499.35682 Sahadevan, Ramajayam; Bakkyaraj, Thangarasu 57 2015 New spectral techniques for systems of fractional differential equations using fractional-order generalized Laguerre orthogonal functions. Zbl 1312.65166 Bhrawy, Ali; Alhamed, Yahia; Baleanu, Dumitru; Al-Zahrani, Abdulrahim 57 2014 On the asymptotic stability of linear system of fractional-order difference equations. Zbl 1312.39019 Abu-Saris, Raghib; Al-Mdallal, Qasem 57 2013 Sobolev type fractional dynamic equations and optimal multi-integral controls with fractional nonlocal conditions. Zbl 1321.49007 Debbouche, Amar; Torres, Delfim F. M. 56 2015 Solving fractional delay differential equations: a new approach. Zbl 1317.34159 Daftardar-Gejji, Varsha; Sukale, Yogita; Bhalekar, Sachin 56 2015 Fractional boundary value problems: analysis and numerical methods. Zbl 1273.65098 Ford, Neville J.; Morgado, M. Luísa 56 2011 A practical guide to Prabhakar fractional calculus. Zbl 1437.33019 Giusti, Andrea; Colombaro, Ivano; Garra, Roberto; Garrappa, Roberto; Polito, Federico; Popolizio, Marina; Mainardi, Francesco 56 2020 Fuzzy fractional integral equations under compactness type condition. Zbl 1312.45009 Agarwal, Ravi; Arshad, Sadia; O’Regan, Donal; Lupulescu, Vasile 55 2012 Historical survey: the chronicles of fractional calculus. Zbl 1364.26002 Machado, J. A. Tenreiro; Kiryakova, Virginia 55 2017 Existence of mild solutions for a class of Hilfer fractional evolution equations with nonlocal conditions. Zbl 1368.34017 Yang, Min; Wang, Qiru 55 2017 Models of dielectric relaxation based on completely monotone functions. Zbl 1499.78010 Garrappa, Roberto; Mainardi, Francesco; Guido, Maione 55 2016 Subordination principle for fractional evolution equations. Zbl 1041.34046 Bazhlekova, Emilia G. 54 2000 Nonpolynomial collocation approximation of solutions to fractional differential equations. Zbl 1312.65124 Ford, Neville J.; Morgado, M. Luísa; Rebelo, Magda 54 2013 A probabilistic interpretation of the fractional-order differentiation. Zbl 1035.26010 Machado, J. A. Tenreiro 53 2003 Well-posedness for the nonlinear fractional Schrödinger equation and inviscid limit behavior of solution for the fractional Ginzburg-Landau equation. Zbl 1312.35180 Guo, Boling; Huo, Zhaohui 53 2013 On the existence of blow up solutions for a class of fractional differential equations. Zbl 1312.34007 Bai, Zhanbing; Chen, YangQuan; Lian, Hairong; Sun, Sujing 51 2014 Approximate controllability and existence of mild solutions for Riemann-Liouville fractional stochastic evolution equations with nonlocal conditions of order \(1 < \alpha < 2\). Zbl 1441.93038 Shu, Linxin; Shu, Xiao-Bao; Mao, Jianzhong 50 2019 A computational approach for the solution of a class of variable-order fractional integro-differential equations with weakly singular kernels. Zbl 1376.65159 Parsa Moghaddam, Behrouz; Tenreiro Machado, José António 50 2017 Existence and uniqueness of solutions for a system of fractional differential equations. Zbl 1396.34003 Zhou, Yong 49 2009 Diffusion and Fokker-Planck-Smoluchowski equations with generalized memory kernel. Zbl 1338.60199 Sandev, Trifce; Chechkin, Aleksei; Kantz, Holger; Metzler, Ralf 49 2015 Positive solutions for a system of nonlocal fractional boundary value problems. Zbl 1312.34015 Henderson, Johnny; Luca, Rodica 48 2013 High-order algorithms for Riesz derivative and their applications. III. Zbl 1332.65122 Ding, Hengfei; Li, Changpin 48 2016 Error estimates for approximations of distributed order time fractional diffusion with nonsmooth data. Zbl 1333.65111 Jin, Bangti; Lazarov, Raytcho; Sheen, Dongwoo; Zhou, Zhi 48 2016 A further extension of Mittag-Leffler function. Zbl 1426.33051 Andrić, Maja; Farid, Ghulam; Pečarić, Josip 48 2018 Fractional impulsive differential equations: exact solutions, integral equations and short memory case. Zbl 1428.34025 Wu, Guo-Cheng; Zeng, De-Qiang; Baleanu, Dumitru 48 2019 Maximum principle for the fractional diffusion equations with the Riemann-Liouville fractional derivative and its applications. Zbl 1305.34006 Al-Refai, Mohammed; Luchko, Yuri 47 2014 Existence and approximate controllability of fractional evolution equations with nonlocal conditions via resolvent operators. Zbl 1441.34006 Chen, Pengyu; Zhang, Xuping; Li, Yongxiang 47 2020 Hardy inequality in variable exponent Lebesgue spaces. Zbl 1132.26341 Diening, Lars; Samko, Stefan 47 2007 Multiple solutions to boundary value problem for impulsive fractional differential equations. Zbl 1312.34024 Rodríguez-López, Rosana; Tersian, Stepan 45 2014 A variable-order time-fractional derivative model for chloride ions sub-diffusion in concrete structures. Zbl 1312.76058 Chen, Wen; Zhang, Jianjun; Zhang, Jinyang 45 2013 And I say to myself: “What a fractional world!”. Zbl 1273.37002 Tenreiro Machado, J. A. 45 2011 Uniqueness of positive solutions of fractional boundary value problems with non-homogeneous integral boundary conditions. Zbl 1279.34007 Graef, John R.; Kong, Lingju; Kong, Qingkai; Wang, Min 44 2012 Attractivity for fractional evolution equations with almost sectorial operators. Zbl 1405.34012 Zhou, Yong 44 2018 Novel numerical analysis of multi-term time fractional viscoelastic non-Newtonian fluid models for simulating unsteady MHD Couette flow of a generalized Oldroyd-B fluid. Zbl 1439.76120 Feng, Libo; Liu, Fawang; Turner, Ian; Zheng, Liancun 44 2018 Fractional calculus of variations for a combined Caputo derivative. Zbl 1273.49025 Malinowska, Agnieszka B.; Torres, Delfim F. M. 43 2011 Why fractional derivatives with nonsingular kernels should not be used. Zbl 1474.26020 Diethelm, Kai; Garrappa, Roberto; Giusti, Andrea; Stynes, Martin 43 2020 A class of Hilfer fractional differential evolution hemivariational inequalities with history-dependent operators. Zbl 1537.49008 Jing, Zhao; Liu, Zhenhai; Papageorgiou, Nikolaos S. 2 2024 Stability analysis of a second-order difference scheme for the time-fractional mixed sub-diffusion and diffusion-wave equation. Zbl 1537.65096 Alikhanov, Anatoly A.; Shahbazi Asl, Mohammad; Huang, Chengming 1 2024 On the fractional Dunkl-Laplacian. Zbl 1539.42009 Bouzeffour, Fethi; Jedidi, Wissem 1 2024 Variational methods for nonpositive mixed local-nonlocal operators. Zbl 1522.35195 Maione, Alberto; Mugnai, Dimitri; Vecchi, Eugenio 5 2023 A new Bihari inequality and initial value problems of first order fractional differential equations. Zbl 1522.34025 Lan, Kunquan; Webb, J. R. L. 4 2023 Analytical and dimensional properties of fractal interpolation functions on the Sierpiński gasket. Zbl 1522.28011 Verma, Manuj; Priyadarshi, Amit; Verma, Saurabh 4 2023 Approximate controllability results for the Sobolev type fractional delay impulsive integrodifferential inclusions of order \(r \in (1,2)\) via sectorial operator. Zbl 1522.93039 Raja, M. Mohan; Vijayakumar, V. 4 2023 Exact solutions and Hyers-Ulam stability of fractional equations with double delays. Zbl 1509.34079 Liang, Yixing; Shi, Yang; Fan, Zhenbin 4 2023 On the variable order fractional calculus of fractal interpolation functions. Zbl 1522.26008 Valarmathi, R.; Gowrisankar, A. 3 2023 Two families of second-order fractional numerical formulas and applications to fractional differential equations. Zbl 1522.34028 Yin, Baoli; Liu, Yang; Li, Hong; Zhang, Zhimin 3 2023 Solvability of an infinite system of Langevin fractional differential equations in a new tempered sequence space. Zbl 1522.34023 Haque, Inzamamul; Ali, Javid; Mursaleen, M. 3 2023 Prabhakar function of Le Roy type: a set of results in the complex plane. Zbl 1509.33024 Paneva-Konovska, Jordanka 3 2023 Mellin definition of the fractional Laplacian. Zbl 1537.26003 Pagnini, Gianni; Runfola, Claudio 3 2023 Extremal mild solutions to Hilfer evolution equations with non-instantaneous impulses and nonlocal conditions. Zbl 1522.34086 Gou, Haide; Li, Yongxiang 2 2023 System of fractional boundary value problems at resonance. Zbl 1522.34046 Iatime, Khadidja; Guedda, Lamine; Djebali, Smaïl 2 2023 Multi-parametric Le Roy function. Zbl 1509.33025 Rogosin, Sergei; Dubatovskaya, Maryna 2 2023 Existence for a class of time-fractional evolutionary equations with applications involving weakly continuous operator. Zbl 1509.35366 Zeng, Biao 2 2023 Lyapunov stability theorems for \(\psi \)-Caputo derivative systems. Zbl 1509.34009 Lenka, Bichitra Kumar; Bora, Swaroop Nandan 2 2023 Asymptotically autonomous dynamics for fractional subcritical nonclassical diffusion equations driven by nonlinear colored noise. Zbl 1509.35351 Li, Fuzhi; Freitas, Mirelson M. 2 2023 A fractional approach to study the pure-temporal Epidemic Type Aftershock Sequence (ETAS) process for earthquakes modeling. Zbl 1511.86003 Cristofaro, Lorenzo; Garra, Roberto; Scalas, Enrico; Spassiani, Ilaria 2 2023 Subordination and memory dependent kinetics in diffusion and relaxation phenomena. Zbl 1511.45008 Górska, Katarzyna; Horzela, Andrzej 2 2023 Differentiation of integral Mittag-Leffler and integral wright functions with respect to parameters. Zbl 1511.33012 Apelblat, Alexander; González-Santander, Juan Luis 2 2023 Final value problem for Rayleigh-Stokes type equations involving weak-valued nonlinearities. Zbl 1511.35374 Pham Thanh Tuan; Tran Dinh Ke; Nguyen Nhu Thang 2 2023 Existence and asymptotic behavior of square-mean \(S\)-asymptotically periodic solutions for fractional stochastic evolution equation with delay. Zbl 1511.60097 Li, Qiang; Wu, Xu 2 2023 Existence and multiplicity of solutions to magnetic Kirchhoff equations in Orlicz-Sobolev spaces. Zbl 1511.35372 Ochoa, Pablo 2 2023 A variational theory for integral functionals involving finite-horizon fractional gradients. Zbl 1537.49017 Cueto, Javier; Kreisbeck, Carolin; Schönberger, Hidde 2 2023 Superlinear solutions of sublinear fractional differential equations and regular variation. Zbl 1522.34027 Řehák, Pavel 1 2023 Sensitivity analysis for optimal control problems governed by Hilfer fractional differential hemivariational inequalities. Zbl 1522.49027 Jiang, Yirong; Song, Qiqing; Liu, Jiangtao 1 2023 On discrete tempered fractional calculus and its application. Zbl 1522.26006 Ma, Li; Fan, Dahong 1 2023 Sharp error estimates for spatial-temporal finite difference approximations to fractional sub-diffusion equation without regularity assumption on the exact solution. Zbl 1522.65148 Nie, Daxin; Sun, Jing; Deng, Weihua 1 2023 Small order limit of fractional Dirichlet sublinear-type problems. Zbl 1522.35540 Angeles, Felipe; Saldaña, Alberto 1 2023 Existence and uniqueness of a weak solution to fractional single-phase-lag heat equation. Zbl 1522.35560 Maes, Frederick; Van Bockstal, Karel 1 2023 Inverse problem of determining the order of the fractional derivative in the Rayleigh-Stokes equation. Zbl 1522.76057 Ashurov, Ravshan; Mukhiddinova, Oqila 1 2023 Multiplicity of solutions for a fractional Kirchhoff type equation with a critical nonlocal term. Zbl 1522.35549 Dou, Xilin; He, Xiaoming 1 2023 New fractional maximal operators in the theory of martingale Hardy and Lebesgue spaces with variable exponents. Zbl 1509.60100 Weisz, Ferenc 1 2023 A novel approach to stability analysis of a wide class of irrational linear systems. Zbl 1509.93045 Turkulov, Vukan; Rapaić, Milan R.; Malti, Rachid 1 2023 Qualitative properties of solutions to a nonlinear time-space fractional diffusion equation. Zbl 1509.35338 Borikhanov, Meiirkhan B.; Ruzhansky, Michael; Torebek, Berikbol T. 1 2023 Local and global conserved quantities involving generalized operators. Zbl 1509.70023 Song, Chuan-Jing; Zhang, Yi 1 2023 Rigidity of phase transitions for the fractional elliptic Gross-Pitaevskii system. Zbl 1509.35350 Le, Phuong 1 2023 Concave-convex critical problems for the spectral fractional Laplacian with mixed boundary conditions. Zbl 1509.35354 Ortega, Alejandro 1 2023 On the lifting property for the Lipschitz spaces \(\varLambda_{\alpha }\) with \(\alpha >0\). Zbl 1509.33005 Ambrosio, Vincenzo 1 2023 A spectral approach to non-linear weakly singular fractional integro-differential equations. Zbl 1509.45002 Faghih, Amin; Rebelo, Magda 1 2023 A critical elliptic problem involving exponential and singular nonlinearities. Zbl 1509.35341 Choudhuri, Debajyoti; Saoudi, Kamel 1 2023 Reconstruction of pointwise sources in a time-fractional diffusion equation. Zbl 1509.35378 Hrizi, Mourad; Hassine, Maatoug; Novotny, Antonio André 1 2023 The fractional stochastic heat equation driven by time-space white noise. Zbl 1511.35371 Moulay Hachemi, Rahma Yasmina; Øksendal, Bernt 1 2023 Initial-boundary value problems for coupled systems of time-fractional diffusion equations. Zbl 1511.35369 Li, Zhiyuan; Huang, Xinchi; Liu, Yikan 1 2023 Subordination principle and approximation of fractional resolvents and applications to fractional evolution equations. Zbl 1511.34084 Zhu, Shouguo; Dai, Peipei; Qu, Yinchun; Li, Gang 1 2023 Dual spaces of anisotropic variable Hardy-Lorentz spaces and their applications. Zbl 1511.42023 Liu, Jun; Lu, Yaqian; Huang, Long 1 2023 Homogenization and inverse problems for fractional diffusion equations. Zbl 1537.35384 Kawamoto, Atsushi; Machida, Manabu; Yamamoto, Masahiro 1 2023 An elementary inequality for dissipative Caputo fractional differential equations. Zbl 1537.34013 Kloeden, Peter E. 1 2023 On the Rothe-Galerkin spectral discretization for a class of variable fractional-order nonlinear wave equations. Zbl 1537.35397 Van Bockstal, Karel; Zaky, Mahmoud A.; Hendy, Ahmed 1 2023 On approximate controllability of semi-linear neutral integro-differential evolution systems with state-dependent nonlocal conditions. Zbl 1537.93082 Cao, Nan; Fu, Xianlong 1 2023 Analysis of a fractional viscoelastic Euler-Bernoulli beam and identification of its piecewise continuous polynomial order. Zbl 1537.35388 Li, Yiqun; Wang, Hong; Zheng, Xiangcheng 1 2023 Method of separation of variables and exact solution of time fractional nonlinear partial differential and differential-difference equations. Zbl 1537.35396 Uma Maheswari, Chandrasekaran; Sahadevan, Ramajayam; Yogeshwaran, Munusamy 1 2023 Numerical investigation of generalized tempered-type integrodifferential equations with respect to another function. Zbl 1537.65201 Qiu, Wenlin; Nikan, Omid; Avazzadeh, Zakieh 1 2023 Generalized fractional Dirac type operators. Zbl 07841360 Restrepo, Joel E.; Ruzhansky, Michael; Suragan, Durvudkhan 1 2023 A Cauchy problem for fractional evolution equations with Hilfer’s fractional derivative on semi-infinite interval. Zbl 1503.34038 Zhou, Yong; He, Jia Wei 17 2022 Fractional integral operators on Orlicz slice Hardy spaces. Zbl 1503.45013 Ho, Kwok-Pun 15 2022 Optimal feedback control for a class of fractional evolution equations with history-dependent operators. Zbl 1503.35268 Liu, Yongjian; Liu, Zhenhai; Peng, Sisi; Wen, Ching-Feng 14 2022 Hölder regularity for non-autonomous fractional evolution equations. Zbl 1503.35263 He, Jia Wei; Zhou, Yong 13 2022 Box dimension of mixed Katugampola fractional integral of two-dimensional continuous functions. Zbl 1503.26005 Chandra, Subhash; Abbas, Syed 12 2022 Approximate inversion for Abel integral operators of variable exponent and applications to fractional Cauchy problems. Zbl 1503.45015 Zheng, Xiangcheng 10 2022 Convolution series and the generalized convolution Taylor formula. Zbl 1503.26012 Luchko, Yuri 9 2022 Fractional Euler numbers and generalized proportional fractional logistic differential equation. Zbl 1503.34029 Nieto, Juan J. 8 2022 Convergence analysis of the time-stepping numerical methods for time-fractional nonlinear subdiffusion equations. Zbl 1503.65194 Zhang, Hui; Zeng, Fanhai; Jiang, Xiaoyun; Karniadakis, George Em 8 2022 The fractional variation and the precise representative of \(BV^{\alpha,p}\) functions. Zbl 1505.46032 Comi, Giovanni E.; Spector, Daniel; Stefani, Giorgio 8 2022 Unified predictor-corrector method for fractional differential equations with general kernel functions. Zbl 1503.65146 Wu, Guo-Cheng; Kong, Hua; Luo, Maokang; Fu, Hui; Huang, Lan-Lan 8 2022 Boundedness of fractional integrals on special John-Nirenberg-Campanato and Hardy-type spaces via congruent cubes. Zbl 1503.26009 Jia, Hongchao; Tao, Jin; Yang, Dachun; Yuan, Wen; Zhang, Yangyang 7 2022 Upper and lower estimates for the separation of solutions to fractional differential equations. Zbl 1503.34012 Diethelm, Kai; Tuan, Hoang The 6 2022 Global solutions of nonlinear fractional diffusion equations with time-singular sources and perturbed orders. Zbl 1503.35255 Dien, Nguyen Minh; Nane, Erkan; Minh, Nguyen Dang; Trong, Dang Duc 6 2022 Stability analysis of Hadamard and Caputo-Hadamard fractional nonlinear systems without and with delay. Zbl 1503.34021 He, Bin-Bin; Zhou, Hua-Cheng; Kou, Chun-Hai 6 2022 Connections between nonlocal operators: from vector calculus identities to a fractional Helmholtz decomposition. Zbl 1503.26006 D’Elia, Marta; Gulian, Mamikon; Mengesha, Tadele; Scott, James M. 6 2022 An inverse problem of determining orders of systems of fractional pseudo-differential equations. Zbl 1503.35247 Ashurov, Ravshan; Umarov, Sabir 5 2022 Monte Carlo method for fractional-order differentiation extended to higher orders. Zbl 1503.65046 Leonenko, Nikolai; Podlubny, Igor 5 2022 Non-stationary zipper \(\alpha\)-fractal functions and associated fractal operator. Zbl 1503.28010 Jha, Sangita; Verma, Saurabh; Chand, Arya K. 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Zbl 1503.34143 Domoshnitsky, Alexander; Padhi, Seshadev; Srivastava, Satyam Narayan 4 2022 On approximate controllability of multi-term time fractional measure differential equations with nonlocal conditions. Zbl 1503.34141 Diop, Amadou 4 2022 Solvability of infinite systems of fractional differential equations in the double sequence space \(2^c (\triangle)\). Zbl 1503.34026 Mehravaran, Hamid; Kayvanloo, Hojjatollah Amiri; Mursaleen, Mohammad 4 2022 Existence and controllability results for Hilfer fractional evolution equations via integral contractors. Zbl 1503.34140 Chaudhary, Renu; Reich, Simeon 4 2022 Monte Carlo method for fractional-order differentiation. Zbl 1503.65047 Leonenko, Nikolai; Podlubny, Igor 4 2022 Stochastic solutions of generalized time-fractional evolution equations. Zbl 1503.45005 Bender, Christian; Butko, Yana A. 4 2022 Hölder regularity for the nonlinear stochastic time-fractional slow & fast diffusion equations on \({\mathbb{R}}^d\). Zbl 1503.60080 Chen, Le; Hu, Guannan 4 2022 Fractional vector-valued nonuniform MRA and associated wavelet packets on \(L^2\big({\mathbb{R}},{\mathbb{C}}^M\big)\). Zbl 1503.42029 Bhat, M. Younus; Dar, Aamir H. 4 2022 On the fractional Laplacian of variable order. Zbl 1503.35253 Darve, Eric; D’Elia, Marta; Garrappa, Roberto; Giusti, Andrea; Rubio, Natalia L. 3 2022 Exterior controllability properties for a fractional Moore-Gibson-Thompson equation. Zbl 1503.35269 Lizama, Carlos; Warma, Mahamadi; Zamorano, Sebastián 3 2022 Subordination principle and Feynman-Kac formulae for generalized time-fractional evolution equations. Zbl 1509.47064 Bender, Christian; Bormann, Marie; Butko, Yana A. 3 2022 Numerical conservation laws of time fractional diffusion PDEs. Zbl 1503.65165 Cardone, Angelamaria; Frasca-Caccia, Gianluca 3 2022 Multiple positive solutions for higher-order fractional integral boundary value problems with singularity on space variable. Zbl 1503.34037 Zhang, Xingqiu; Shao, Zhuyan; Zhong, Qiuyan 3 2022 A fractional version of the recursive tau method for solving a general class of Abel-Volterra integral equations systems. Zbl 1503.65324 Talaei, Younes; Shahmorad, Sedaghat; Mokhtary, Payam; Faghih, Amin 3 2022 Existence of an infinite system of fractional hybrid differential equations in a tempered sequence space. Zbl 1509.47110 Das, Anupam; Hazarika, Bipan; Deuri, Bhuban Chandra 3 2022 Sequential generalized Riemann-Liouville derivatives based on distributional convolution. Zbl 1503.26010 Kleiner, Tillmann; Hilfer, Rudolf 2 2022 Anisotropic variable Campanato-type spaces and their Carleson measure characterizations. Zbl 1503.46024 Huang, Long; Wang, Xiaofeng 2 2022 Asymptotic behaviour of solutions to non-commensurate fractional-order planar systems. Zbl 1503.34011 Diethelm, Kai; Thai, Ha Duc; Tuan, Hoang The 2 2022 On differentiability of solutions of fractional differential equations with respect to initial data. Zbl 1503.34016 Gomoyunov, Mikhail I. 2 2022 ...and 1015 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 10,462 Authors 210 Băleanu, Dumitru I. 174 Ahmad, Bashir 123 Liu, Fawang 119 Al-saedi, Ahmed Eid Salem 116 Ntouyas, Sotiris K. 109 Machado, José António Tenreiro 100 Zhou, Yong 91 Benchohra, Mouffak 88 Wang, Jinrong 84 Agarwal, Ravi P. 83 O’Regan, Donal 81 Abdeljawad, Thabet 80 Nieto Roig, Juan Jose 64 Turner, Ian William 62 Wang, Hong 54 Samko, Stefan Grigor’evich 53 Chen, Yangquan 53 Zheng, Xiangcheng 51 Sooppy Nisar, Kottakkaran 49 Anh, Vo V. 48 Mainardi, Francesco 47 Abbas, Said 47 Nguyen Huy Tuan 45 Farid, Ghulam 45 Tarasov, Vasily E. 44 Vanterler da Costa Sousa, José 42 Wang, Guotao 40 Kirane, Mokhtar 40 Yamamoto, Masahiro 39 Agarwal, Praveen 39 Atangana, Abdon 39 Li, Changpin 39 Liu, Lishan 39 Meerschaert, Mark Marvin 39 Tariboon, Jessada 39 Torres, Delfim Fernando Marado 38 Samet, Bessem 38 Wu, Guocheng 38 Zaky, Mahmoud A. 37 Dehghan Takht Fooladi, Mehdi 36 Deng, Weihua 36 Fernandez, Arran 35 de Oliveira, Edmundo Capelas 35 Gómez-Aguilar, José Francisco 35 Liu, Yang 35 Liu, Zhenhai 34 Sun, Zhizhong 33 Li, Hong 33 Mejjaoli, Hatem 33 Srivastava, Hari Mohan 32 Shah, Kamal 32 Wei, Ting 31 Gou, Haide 31 Henderson, Johnny Lee 31 Sun, Hongguang 31 Wu, Yonghong 30 Alzabut, Jehad O. 30 Garrappa, Roberto 30 Zeng, Shengda 29 Huang, Chengming 29 Jiang, Xiaoyun 29 Karniadakis, George Em 29 Lizama, Carlos 29 Povstenko, Yuriy Z. 29 Tomovski, Živorad 28 Atanackovic, Teodor M. 28 Doungmo Goufo, Emile Franc 28 Luchko, Yuri 28 Momani, Shaher M. 28 Stynes, Martin Joseph 28 Zeng, Fanhai 27 Ansari, Alireza 27 Fečkan, Michal 27 Fëdorov, Vladimir Evgen’evich 27 Pagnini, Gianni 27 Sandev, Trifce 27 Torebek, Berikbol Tillabayuly 27 Vijayakumar, Velusamy 27 Zhang, Lihong 27 Zhou, Zhi 26 Abbaszadeh, Mostafa 26 Hendy, Ahmed S. 26 Luca, Rodica 26 Razzaghi, Mohsen 26 Rubin, Boris 26 Torres Ledesma, César Enrique 26 Yan, Yubin 25 Graef, John R. 25 Jleli, Mohamed Boussairi 25 Khristova, Snezhana G. 25 Lopes, António M. 25 Ordokhani, Yadollah 25 Rezapour, Shahram 25 Trujillo, Juan J. 24 Chen, Wen 24 Cui, Yujun 24 Feng, Libo 24 Jarad, Fahd 24 Li, Yongxiang 24 Li, Zhiyuan ...and 10,362 more Authors all top 5 Cited in 683 Journals 806 Fractional Calculus & Applied Analysis 448 Advances in Difference Equations 428 Mathematical Methods in the Applied Sciences 324 Applied Mathematics and Computation 284 Communications in Nonlinear Science and Numerical Simulation 282 Computers & Mathematics with Applications 244 Chaos, Solitons and Fractals 236 Journal of Computational and Applied Mathematics 157 Computational and Applied Mathematics 143 Applied Numerical Mathematics 135 Nonlinear Dynamics 134 Journal of Mathematical Analysis and Applications 123 Applied Mathematics Letters 122 Boundary Value Problems 114 Journal of Computational Physics 114 Fractals 110 Journal of Function Spaces 106 Mathematical Problems in Engineering 104 Mediterranean Journal of Mathematics 104 AIMS Mathematics 103 Journal of Scientific Computing 102 Abstract and Applied Analysis 90 Journal of Inequalities and Applications 85 Mathematics and Computers in Simulation 85 Numerical Methods for Partial Differential Equations 83 Physica A 80 Journal of Applied Mathematics and Computing 79 Numerical Algorithms 77 Applied Mathematical Modelling 73 International Journal of Computer Mathematics 71 International Journal of Applied and Computational Mathematics 65 Nonlinear Analysis. 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A 23 Journal of Optimization Theory and Applications 23 Meccanica 23 Georgian Mathematical Journal 22 Engineering Analysis with Boundary Elements 22 Communications on Pure and Applied Analysis 22 Afrika Matematika 22 Mathematical Sciences 21 Journal of Statistical Physics 21 Mathematics of Computation 21 Fuzzy Sets and Systems ...and 583 more Journals all top 5 Cited in 58 Fields 4,052 Partial differential equations (35-XX) 3,655 Ordinary differential equations (34-XX) 3,458 Real functions (26-XX) 2,669 Numerical analysis (65-XX) 1,446 Operator theory (47-XX) 859 Special functions (33-XX) 853 Systems theory; control (93-XX) 804 Probability theory and stochastic processes (60-XX) 797 Integral equations (45-XX) 526 Harmonic analysis on Euclidean spaces (42-XX) 486 Integral transforms, operational calculus (44-XX) 422 Functional analysis (46-XX) 378 Calculus of variations and optimal control; optimization (49-XX) 352 Biology and other natural sciences (92-XX) 332 Mechanics of deformable solids (74-XX) 315 Difference and functional equations (39-XX) 291 Fluid mechanics (76-XX) 285 Dynamical systems and ergodic theory (37-XX) 238 Statistical mechanics, structure of matter (82-XX) 191 Functions of a complex variable (30-XX) 182 Approximations and expansions (41-XX) 167 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 131 Information and communication theory, circuits (94-XX) 128 Measure and integration (28-XX) 110 Global analysis, analysis on manifolds (58-XX) 110 Statistics (62-XX) 104 Quantum theory (81-XX) 97 Mechanics of particles and systems (70-XX) 97 Classical thermodynamics, heat transfer (80-XX) 71 Computer science (68-XX) 70 Linear and multilinear algebra; matrix theory (15-XX) 65 Abstract harmonic analysis (43-XX) 60 Potential theory (31-XX) 59 Optics, electromagnetic theory (78-XX) 54 Operations research, mathematical programming (90-XX) 53 Combinatorics (05-XX) 50 Number theory (11-XX) 37 Geophysics (86-XX) 32 Differential geometry (53-XX) 26 History and biography (01-XX) 25 Sequences, series, summability (40-XX) 21 General topology (54-XX) 19 Topological groups, Lie groups (22-XX) 19 Relativity and gravitational theory (83-XX) 16 Convex and discrete geometry (52-XX) 10 Several complex variables and analytic spaces (32-XX) 9 General and overarching topics; collections (00-XX) 8 Geometry (51-XX) 8 Astronomy and astrophysics (85-XX) 7 Mathematics education (97-XX) 6 Group theory and generalizations (20-XX) 4 Nonassociative rings and algebras (17-XX) 3 Field theory and polynomials (12-XX) 3 Algebraic geometry (14-XX) 3 Algebraic topology (55-XX) 2 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Commutative algebra (13-XX) Citations by Year