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: 1,339 Publications (since 1998) References Indexed: 907 Publications with 28,194 References. all top 5 Latest Issues 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) 7, No. 1 (2004) 6, No. 4 (2003) 6, No. 3 (2003) 6, No. 2 (2003) 6, No. 1 (2003) ...and 19 more Volumes all top 5 Authors 53 Kiryakova, Virginia S. 32 Samko, Stefan Grigor’evich 26 Machado, José António Tenreiro 23 Kilbas, Anatoliĭ Aleksandrovich 22 Chen, Yangquan 22 Mainardi, Francesco 18 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. 11 Atanackovic, Teodor M. 11 Meerschaert, Mark Marvin 10 Kalla, Shyam Lal 10 Pagnini, Gianni 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 Mikhailovich 9 Przeworska-Rolewicz, Danuta 9 Tomovski, Živorad 9 Yamamoto, Masahiro 8 Benchohra, Mouffak 8 Henderson, Johnny Lee 8 Karapetyants, Alekseĭ Nikolaevich 8 Li, Changpin 8 Meskhi, Alexander 8 O’Regan, Donal 8 Owa, Shigeyoshi 8 Paneva-Konovska, Jordanka D. 8 Pilipović, Stevan 8 Rogosin, Sergei V. 7 Agarwal, Ravi P. 7 Daftardar-Gejji, Varsha 7 Ford, Neville J. 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 6 Boyadjiev, Lyubomir I. 6 Kaczorek, Tadeusz 6 Karapetyants, Nikolaĭ Karapetovich 6 Nieto Roig, Juan Jose 6 Nigmatullin, Raoul R. 6 Rafeiro, Humberto 6 Srivastava, Hari Mohan 6 Stanković, Bogoljub 6 Tersian, Stepan Agop 6 Zeng, Caibin 5 Abbas, Said 5 Anh, Vo V. 5 Cernea, Aurelian 5 Chen, Wen 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 Lanusse, Patrick 5 Leonenko, Nikolai N. 5 Li, Gang 5 Liang, Yingjie 5 Lopes, António M. 5 Matychyn, Ivan I. 5 Mejjaoli, Hatem 5 Metzler, Ralf 5 Ntouyas, Sotiris K. 5 Ortigueira, Manuel D. 5 Saxena, Ram Kishore 5 Scalas, Enrico 5 Skórnik, Krystyna A. 5 Tuan, Hoang The 5 Victor, Stéphane 5 Vinagre, Blas Manuel 5 Virchenko, Nina A. 5 Wu, Guocheng 5 Zayed, Ahmed I. 4 Agrawal, Om Prakash 4 Al-saedi, Ahmed Eid Salem 4 Ashurov, Ravshan Rajabovich 4 Assal, Miloud 4 Choudhary, Sangita 4 Debnath, Lokenath 4 D’Elia, Marta 4 D’Ovidio, Mirko ...and 1,505 more Authors all top 5 Fields 659 Real functions (26-XX) 390 Ordinary differential equations (34-XX) 385 Partial differential equations (35-XX) 260 Special functions (33-XX) 172 Operator theory (47-XX) 148 Integral transforms, operational calculus (44-XX) 148 Probability theory and stochastic processes (60-XX) 132 Numerical analysis (65-XX) 126 Integral equations (45-XX) 105 Harmonic analysis on Euclidean spaces (42-XX) 102 Systems theory; control (93-XX) 99 Functional analysis (46-XX) 67 Functions of a complex variable (30-XX) 66 History and biography (01-XX) 38 Mechanics of deformable solids (74-XX) 32 Difference and functional equations (39-XX) 31 Calculus of variations and optimal control; optimization (49-XX) 27 Measure and integration (28-XX) 26 General and overarching topics; collections (00-XX) 22 Potential theory (31-XX) 22 Approximations and expansions (41-XX) 22 Fluid mechanics (76-XX) 20 Dynamical systems and ergodic theory (37-XX) 17 Abstract harmonic analysis (43-XX) 17 Classical thermodynamics, heat transfer (80-XX) 17 Information and communication theory, circuits (94-XX) 16 Statistical mechanics, structure of matter (82-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) 12 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 11 Optics, electromagnetic theory (78-XX) 10 Computer science (68-XX) 9 Geophysics (86-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 6 Sequences, series, summability (40-XX) 6 Quantum theory (81-XX) 4 Combinatorics (05-XX) 4 Differential geometry (53-XX) 4 Operations research, mathematical programming (90-XX) 3 Mathematical logic and foundations (03-XX) 3 Several complex variables and analytic spaces (32-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 988 Publications have been cited 14,529 times in 8,868 Documents Cited by ▼ Year ▼ The fundamental solution of the space-time fractional diffusion equation. Zbl 1054.35156Mainardi, Francesco; Luchko, Yuri; Pagnini, Gianni 365 2001 Geometric and physical interpretation of fractional integration and fractional differentiation. Zbl 1042.26003Podlubny, Igor 344 2002 Ten equivalent definitions of the fractional Laplace operator. Zbl 1375.47038Kwaśnicki, Mateusz 227 2017 Numerical methods for solving the multi-term time-fractional wave-diffusion equation. Zbl 1312.65138Liu, Fawang; Meerschaert, Mark; McGough, Robert; Zhuang, Pinghui; Liu, Qingxia 196 2013 Operational method for the solution of fractional differential equations with generalized Riemann-Liouville fractional derivatives. Zbl 1182.26011Hilfer, Rudolf; Luchko, Yury; Tomovski, Živorad 147 2009 Random walk models for space-fractional diffusion processes. Zbl 0946.60039Gorenflo, R.; Mainardi, F. 139 1998 Analytical properties and applications of the Wright function. Zbl 1027.33006Gorenflo, Rudolf; Luchko, Yuri; Mainardi, Francesco 131 1999 Computation of the Mittag-Leffler function \(E_{\alpha,\beta}(z)\) and its derivative. Zbl 1027.33016Gorenflo, Rudolf; Loutchko, Joulia; Luchko, Yuri 122 2002 A new dissipation model based on memory mechanism. Zbl 1213.74005Caputo, M.; Mainardi, F. 122 2007 Boundary value problems for the generalized time-fractional diffusion equation of distributed order. Zbl 1198.26012Luchko, Yury 120 2009 A survey on impulsive fractional differential equations. Zbl 1344.35169Wang, JinRong; Fečkan, Michal; Zhou, Yong 117 2016 Initial-boundary-value problems for the one-dimensional time-fractional diffusion equation. Zbl 1276.26018Luchko, Yuri 112 2012 Numerical approximation of a fractional-in-space diffusion equation. I. Zbl 1126.26009Ilic, M.; Liu, Fawang; Turner, I.; Anh, V. 112 2005 Stochastic solutions for fractional Cauchy problems. Zbl 1057.35102Baeumer, Boris; Meerschaert, Mark M. 105 2001 A finite element method for time fractional partial differential equations. Zbl 1273.65142Ford, Neville J.; Xiao, Jingyu; Yan, Yubin 104 2011 Numerical approximation of a fractional-in space diffusion equation. II. With nonhomogeneous boundary conditions. Zbl 1132.35507Ilic, M.; Liu, F.; Turner, I.; Anh, V. 102 2006 Time-fractional diffusion equation in the fractional Sobolev spaces. Zbl 1499.35642Gorenflo, Rudolf; Luchko, Yuri; Yamamoto, Masahiro 102 2015 Distributed order differential equations modelling dielectric induction and diffusion. Zbl 1042.34028Caputo, Michele 100 2001 A fully Hadamard type integral boundary value problem of a coupled system of fractional differential equations. Zbl 1312.34005Ahmad, Bashir; Ntouyas, Sotiris K. 95 2014 Distributed order time fractional diffusion equation. Zbl 1089.60046Chechkin, A. V.; Gorenflo, R.; Sokolov, I. M.; Gonchar, V. Yu. 94 2003 Some approximations of fractional order operators used in control theory and applications. Zbl 1111.93302Vinagre, B. M.; Podlubny, I.; Hernández, A.; Feliu, V. 93 2000 A Lyapunov-type inequality for a fractional boundary value problem. Zbl 1312.34013Ferreira, Rui 93 2013 A review on variable-order fractional differential equations: mathematical foundations, physical models, numerical methods and applications. Zbl 1428.34001Sun, HongGuang; Chang, Ailian; Zhang, Yong; Chen, Wen 92 2019 Linear models of dissipation whose \(Q\) is almost frequency independent. II. (Reprint). Zbl 1210.65130Caputo, Michele 89 2008 Spectral approximations to the fractional integral and derivative. Zbl 1276.26016Li, Changpin; Zeng, Fanhai; Liu, Fawang 87 2012 Matrix approach to discrete fractional calculus. Zbl 1030.26011Podlubny, Igor 85 2000 The fractional Black-Scholes equation. Zbl 1058.91045Wyss, Walter 81 2000 Fundamental solution of a distributed order time-fractional diffusion-wave equation as probability density. Zbl 1312.35179Gorenflo, Rudolf; Luchko, Yuri; Stojanović, Mirjana 74 2013 Existence of solutions to boundary value problem for impulsive fractional differential equations. Zbl 1308.34010Bonanno, Gabriele; Rodríguez-López, Rosana; Tersian, Stepan 73 2014 Too much regularity may force too much uniqueness. Zbl 1353.35306Stynes, Martin 73 2016 Discrete-time fractional-order controllers. Zbl 1111.93307Machado, J. A. Tenreiro 70 2001 The maximal operator on weighted variable Lebesgue spaces. Zbl 1273.42018Cruz-Uribe, David; Diening, Lars; Hästö, Peter 69 2011 Fractional calculus for power functions and eigenvalues of the fractional Laplacian. Zbl 1312.35176Dyda, Bartłlomiej 65 2012 On the oscillation of fractional differential equations. Zbl 1273.34007Grace, Said R.; Agarwal, Ravi P.; Wong, Patricia J. Y.; Zafer, Ağacık 63 2012 On explicit stability conditions for a linear fractional difference system. Zbl 1320.39004Čermák, Jan; Gyori, István; Nechvátal, Ludĕk 62 2015 Stability of fractional-order systems with rational orders: a survey. Zbl 1182.26017Petráš, Ivo 61 2009 On the existence of solutions of fractional integro-differential equations. Zbl 1279.45008Aghajani, Asadollah; Jalilian, Yaghoub; Trujillo, Juan J. 59 2012 Operational method in fractional calculus. Zbl 1030.26009Luchko, Yuri 59 1999 Some generalized fractional calculus operators and their applications in integral equations. Zbl 1312.26010Agrawal, Om P. 59 2012 Scale-invariant solutions of a partial differential equation of fractional order. Zbl 0940.45001Luchko, Yu.; Gorenflo, R. 57 1998 On a system of fractional differential equations with coupled integral boundary conditions. Zbl 1315.34012Henderson, Johnny; Luca, Rodica; Tudorache, Alexandru 57 2015 Time-fractional derivatives in relaxation processes: a tutorial survey. Zbl 1157.26304Mainardi, Francesco; Gorenflo, Rudolf 56 2007 Strong maximum principle for fractional diffusion equations and an application to an inverse source problem. Zbl 1346.35216Liu, Yikan; Rundell, William; Yamamoto, Masahiro 56 2016 A brief story about the operators of the generalized fractional calculus. Zbl 1153.26003Kiryakova, Virginia 55 2008 Uniqueness of solution for higher-order fractional differential equations with conjugate type integral conditions. Zbl 1395.34010Zhang, Xingqiu; Zhong, Qiuyan 55 2017 Fractional diffusion on bounded domains. Zbl 1488.35557Defterli, Ozlem; D’Elia, Marta; Du, Qiang; Gunzburger, Max; Lehoucq, Rich; Meerschaert, Mark M. 55 2015 A survey of Lyapunov functions, stability and impulsive Caputo fractional differential equations. Zbl 1343.34006Agarwal, Ravi; Hristova, Snezhana; O’Regan, Donal 54 2016 An historical perspective on fractional calculus in linear viscoelasticity. Zbl 1314.74005Mainardi, Francesco 53 2012 A novel unstructured mesh finite element method for solving the time-space fractional wave equation on a two-dimensional irregular convex domain. Zbl 1364.65162Fan, Wenping; Liu, Fawang; Jiang, Xiaoyun; Turner, Ian 53 2017 Maximum principle and its application for the time-fractional diffusion equations. Zbl 1273.35297Luchko, Yury 52 2011 Fractional boundary value problems: analysis and numerical methods. Zbl 1273.65098Ford, Neville J.; Morgado, M. Luísa 52 2011 Mapping between solutions of fractional diffusion-wave equations. Zbl 1033.35161Gorenflo, Rudolf; Iskenderov, Asaf; Luchko, Yuri 52 2000 Erdélyi-Kober fractional diffusion. Zbl 1276.26021Pagnini, Gianni 51 2012 On the generalized Wright function. Zbl 1027.33015Kilbas, Anatoly A.; Saigo, Megumi; Trujillo, Juan J. 51 2002 Caputo-type modification of the Erdélyi-Kober fractional derivatives. Zbl 1152.26304Luchko, Yury; Trujillo, Juan J. 51 2007 Asymptotic estimates of solutions to initial-boundary-value problems for distributed order time-fractional diffusion equations. Zbl 1312.35184Li, Zhiyuan; Luchko, Yuri; Yamamoto, Masahiro 51 2014 Maximum principles for multi-term space-time variable-order fractional diffusion equations and their applications. Zbl 1381.35225Liu, Zhenhai; Zeng, Shengda; Bai, Yunru 51 2016 On \(q\)-analogues of Caputo derivative and Mittag-Leffler function. Zbl 1157.33325Rajković, Predag M.; Marinković, Sladjana D.; Stanković, Miomir S. 50 2007 General time-fractional diffusion equation: some uniqueness and existence results for the initial-boundary-value problems. Zbl 1499.35667Luchko, Yuri; Yamamoto, Masahiro 50 2016 Some pioneers of the applications of fractional calculus. Zbl 1305.26008Valério, Duarte; Machado, José Tenreiro; Kiryakova, Virginia 49 2014 New spectral techniques for systems of fractional differential equations using fractional-order generalized Laguerre orthogonal functions. Zbl 1312.65166Bhrawy, Ali; Alhamed, Yahia; Baleanu, Dumitru; Al-Zahrani, Abdulrahim 49 2014 A probabilistic interpretation of the fractional-order differentiation. Zbl 1035.26010Machado, J. A. Tenreiro 48 2003 On existence and uniqueness of solutions for semilinear fractional wave equations. Zbl 1362.35323Kian, Yavar; Yamamoto, Masahiro 48 2017 High-order approximation to Caputo derivatives and Caputo-type advection-diffusion equations. II. Zbl 1325.65121Cao, Jianxiong; Li, Changpin; Chen, YangQuan 48 2015 Fuzzy fractional integral equations under compactness type condition. Zbl 1312.45009Agarwal, Ravi; Arshad, Sadia; O’Regan, Donal; Lupulescu, Vasile 48 2012 On the existence of blow up solutions for a class of fractional differential equations. Zbl 1312.34007Bai, Zhanbing; Chen, YangQuan; Lian, Hairong; Sun, Sujing 48 2014 On the asymptotic stability of linear system of fractional-order difference equations. Zbl 1312.39019Abu-Saris, Raghib; Al-Mdallal, Qasem 48 2013 Models of dielectric relaxation based on completely monotone functions. Zbl 1499.78010Garrappa, Roberto; Mainardi, Francesco; Guido, Maione 48 2016 Subordination principle for fractional evolution equations. Zbl 1041.34046Bazhlekova, Emilia G. 47 2000 Sobolev type fractional dynamic equations and optimal multi-integral controls with fractional nonlocal conditions. Zbl 1321.49007Debbouche, Amar; Torres, Delfim F. M. 47 2015 Initial-boundary value problems for fractional diffusion equations with time-dependent coefficients. Zbl 1398.35271Kubica, Adam; Yamamoto, Masahiro 46 2018 Decay solutions for a class of fractional differential variational inequalities. Zbl 1319.49012Dinh Ke, Tran; Van Loi, Nguyen; Obukhovskii, Valeri 46 2015 Solving fractional delay differential equations: a new approach. Zbl 1317.34159Daftardar-Gejji, Varsha; Sukale, Yogita; Bhalekar, Sachin 45 2015 Well-posedness for the nonlinear fractional Schrödinger equation and inviscid limit behavior of solution for the fractional Ginzburg-Landau equation. Zbl 1312.35180Guo, Boling; Huo, Zhaohui 45 2013 Nonpolynomial collocation approximation of solutions to fractional differential equations. Zbl 1312.65124Ford, Neville J.; Morgado, M. Luísa; Rebelo, Magda 44 2013 Positive solutions for a system of nonlocal fractional boundary value problems. Zbl 1312.34015Henderson, Johnny; Luca, Rodica 44 2013 Historical survey: the chronicles of fractional calculus. Zbl 1364.26002Machado, J. A. Tenreiro; Kiryakova, Virginia 44 2017 Hardy inequality in variable exponent Lebesgue spaces. Zbl 1132.26341Diening, Lars; Samko, Stefan 43 2007 Invariant subspace method and exact solutions of certain nonlinear time fractional partial differential equations. Zbl 1499.35682Sahadevan, Ramajayam; Bakkyaraj, Thangarasu 43 2015 Multiple solutions to boundary value problem for impulsive fractional differential equations. Zbl 1312.34024Rodríguez-López, Rosana; Tersian, Stepan 43 2014 High-order algorithms for Riesz derivative and their applications. III. Zbl 1332.65122Ding, Hengfei; Li, Changpin 43 2016 A further extension of Mittag-Leffler function. Zbl 1426.33051Andrić, Maja; Farid, Ghulam; Pečarić, Josip 42 2018 Existence results for fractional functional differential inclusions with infinite delay and applications to control theory. Zbl 1149.26010Benchohra, M.; Henderson, J.; Ntouyas, S. K.; Ouahab, A. 42 2008 A computational approach for the solution of a class of variable-order fractional integro-differential equations with weakly singular kernels. Zbl 1376.65159Parsa Moghaddam, Behrouz; Tenreiro Machado, José António 42 2017 Maximum principle for the fractional diffusion equations with the Riemann-Liouville fractional derivative and its applications. Zbl 1305.34006Al-Refai, Mohammed; Luchko, Yuri 42 2014 Monotone iterative method for a class of nonlinear fractional differential equations. Zbl 1273.34021Wang, Guotao; Baleanu, Dumitru; Zhang, Lihong 41 2012 Uniqueness of positive solutions of fractional boundary value problems with non-homogeneous integral boundary conditions. Zbl 1279.34007Graef, John R.; Kong, Lingju; Kong, Qingkai; Wang, Min 41 2012 And I say to myself: “What a fractional world!”. Zbl 1273.37002Tenreiro Machado, J. A. 41 2011 Fractional impulsive differential equations: exact solutions, integral equations and short memory case. Zbl 1428.34025Wu, Guo-Cheng; Zeng, De-Qiang; Baleanu, Dumitru 40 2019 Existence and approximate controllability of fractional evolution equations with nonlocal conditions via resolvent operators. Zbl 1441.34006Chen, Pengyu; Zhang, Xuping; Li, Yongxiang 40 2020 Fractional calculus of variations for a combined Caputo derivative. Zbl 1273.49025Malinowska, Agnieszka B.; Torres, Delfim F. M. 40 2011 Existence and uniqueness of solutions for a fractional boundary value problem on a graph. Zbl 1308.34012Graef, John R.; Kong, Lingju; Wang, Min 40 2014 Application of measure of noncompactness to a Cauchy problem for fractional differential equations in Banach spaces. Zbl 1312.47095Aghajani, Asadollah; Pourhadi, Ehsan; Trujillo, Juan 39 2013 Error estimates for approximations of distributed order time fractional diffusion with nonsmooth data. Zbl 1333.65111Jin, Bangti; Lazarov, Raytcho; Sheen, Dongwoo; Zhou, Zhi 39 2016 A practical guide to Prabhakar fractional calculus. Zbl 1437.33019Giusti, Andrea; Colombaro, Ivano; Garra, Roberto; Garrappa, Roberto; Polito, Federico; Popolizio, Marina; Mainardi, Francesco 38 2020 Fractional differential inclusions with fractional separated boundary conditions. Zbl 1279.34003Ahmad, Bashir; Ntouyas, Sotiris K. 38 2012 An efficient parallel algorithm for the numerical solution of fractional differential equations. Zbl 1273.65101Diethelm, Kai 38 2011 Existence and uniqueness of solutions for a system of fractional differential equations. Zbl 1396.34003Zhou, Yong 38 2009 A variable-order time-fractional derivative model for chloride ions sub-diffusion in concrete structures. Zbl 1312.76058Chen, Wen; Zhang, Jianjun; Zhang, Jinyang 38 2013 Diffusion and Fokker-Planck-Smoluchowski equations with generalized memory kernel. Zbl 1338.60199Sandev, Trifce; Chechkin, Aleksei; Kantz, Holger; Metzler, Ralf 38 2015 A novel approach to stability analysis of a wide class of irrational linear systems. Zbl 1509.93045Turkulov, Vukan; Rapaić, Milan R.; Malti, Rachid 1 2023 Subordination and memory dependent kinetics in diffusion and relaxation phenomena. Zbl 1511.45008Górska, Katarzyna; Horzela, Andrzej 1 2023 Differentiation of integral Mittag-Leffler and integral wright functions with respect to parameters. Zbl 1511.33012Apelblat, Alexander; González-Santander, Juan Luis 1 2023 Dual spaces of anisotropic variable Hardy-Lorentz spaces and their applications. Zbl 1511.42023Liu, Jun; Lu, Yaqian; Huang, Long 1 2023 A Cauchy problem for fractional evolution equations with Hilfer’s fractional derivative on semi-infinite interval. Zbl 1503.34038Zhou, Yong; He, Jia Wei 6 2022 Fractional integral operators on Orlicz slice Hardy spaces. Zbl 1503.45013Ho, Kwok-Pun 6 2022 Hölder regularity for non-autonomous fractional evolution equations. Zbl 1503.35263He, Jia Wei; Zhou, Yong 6 2022 Convolution series and the generalized convolution Taylor formula. Zbl 1503.26012Luchko, Yuri 4 2022 Approximate inversion for Abel integral operators of variable exponent and applications to fractional Cauchy problems. Zbl 1503.45015Zheng, Xiangcheng 3 2022 Convergence analysis of the time-stepping numerical methods for time-fractional nonlinear subdiffusion equations. Zbl 1503.65194Zhang, Hui; Zeng, Fanhai; Jiang, Xiaoyun; Karniadakis, George Em 3 2022 Stochastic solutions of generalized time-fractional evolution equations. Zbl 1503.45005Bender, Christian; Butko, Yana A. 3 2022 Exterior controllability properties for a fractional Moore-Gibson-Thompson equation. Zbl 1503.35269Lizama, Carlos; Warma, Mahamadi; Zamorano, Sebastián 2 2022 Box dimension of mixed Katugampola fractional integral of two-dimensional continuous functions. Zbl 1503.26005Chandra, Subhash; Abbas, Syed 2 2022 Global solutions of nonlinear fractional diffusion equations with time-singular sources and perturbed orders. Zbl 1503.35255Dien, Nguyen Minh; Nane, Erkan; Minh, Nguyen Dang; Trong, Dang Duc 2 2022 Numerical conservation laws of time fractional diffusion PDEs. Zbl 1503.65165Cardone, Angelamaria; Frasca-Caccia, Gianluca 2 2022 Subordination principle and Feynman-Kac formulae for generalized time-fractional evolution equations. Zbl 1509.47064Bender, Christian; Bormann, Marie; Butko, Yana A. 2 2022 Existence and controllability results for Hilfer fractional evolution equations via integral contractors. Zbl 1503.34140Chaudhary, Renu; Reich, Simeon 2 2022 Boundedness of fractional integrals on special John-Nirenberg-Campanato and Hardy-type spaces via congruent cubes. Zbl 1503.26009Jia, Hongchao; Tao, Jin; Yang, Dachun; Yuan, Wen; Zhang, Yangyang 2 2022 Connections between nonlocal operators: from vector calculus identities to a fractional Helmholtz decomposition. Zbl 1503.26006D’Elia, Marta; Gulian, Mamikon; Mengesha, Tadele; Scott, James M. 2 2022 The fractional variation and the precise representative of \(BV^{\alpha,p}\) functions. Zbl 1505.46032Comi, Giovanni E.; Spector, Daniel; Stefani, Giorgio 2 2022 On mild solutions of the generalized nonlinear fractional pseudo-parabolic equation with a nonlocal condition. Zbl 1503.35254Dien, Nguyen Minh 2 2022 Unified predictor-corrector method for fractional differential equations with general kernel functions. Zbl 1503.65146Wu, Guo-Cheng; Kong, Hua; Luo, Maokang; Fu, Hui; Huang, Lan-Lan 2 2022 The similarity method and explicit solutions for the fractional space one-phase Stefan problems. Zbl 1503.35274Roscani, Sabrina D.; Tarzia, Domingo A.; Venturato, Lucas D. 1 2022 Optimal feedback control for a class of fractional evolution equations with history-dependent operators. Zbl 1503.35268Liu, Yongjian; Liu, Zhenhai; Peng, Sisi; Wen, Ching-Feng 1 2022 Anisotropic variable Campanato-type spaces and their Carleson measure characterizations. Zbl 1503.46024Huang, Long; Wang, Xiaofeng 1 2022 Asymptotic profile for a two-terms time fractional diffusion problem. Zbl 1503.35252D’Abbicco, Marcello; Girardi, Giovanni 1 2022 Asymptotics of the \(s\)-fractional Gaussian perimeter as \(s\rightarrow 0^+\). Zbl 1503.28004Carbotti, Alessandro; Cito, Simone; La Manna, Domenico Angelo; Pallara, Diego 1 2022 Exact solutions of fractional oscillation systems with pure delay. Zbl 1503.34145Liu, Li; Dong, Qixiang; Li, Gang 1 2022 Considerations regarding the accuracy of fractional numerical computations. Zbl 1503.34031Postavaru, Octavian; Dragoi, Flavius; Toma, Antonela 1 2022 On approximate controllability of multi-term time fractional measure differential equations with nonlocal conditions. 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Zbl 1474.35633Ashurov, Ravshan; Umarov, Sabir 11 2020 ...and 888 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 8,739 Authors 184 Băleanu, Dumitru I. 163 Ahmad, Bashir 113 Al-saedi, Ahmed Eid Salem 113 Ntouyas, Sotiris K. 107 Liu, Fawang 99 Machado, José António Tenreiro 80 Benchohra, Mouffak 79 Agarwal, Ravi P. 76 O’Regan, Donal 74 Wang, Jinrong 70 Abdeljawad, Thabet 69 Nieto Roig, Juan Jose 59 Turner, Ian William 57 Wang, Hong 48 Chen, Yangquan 45 Anh, Vo V. 45 Mainardi, Francesco 45 Samko, Stefan Grigor’evich 41 Farid, Ghulam 41 Zheng, Xiangcheng 39 Tariboon, Jessada 38 Abbas, Said 38 Liu, Lishan 38 Meerschaert, Mark Marvin 38 Sooppy Nisar, Kottakkaran 38 Zhou, Yong 36 Torres, Delfim Fernando Marado 36 Wang, Guotao 35 Atangana, Abdon 35 Kirane, Mokhtar 35 Li, Changpin 34 Nguyen Huy Tuan 34 Tarasov, Vasily E. 33 Agarwal, Praveen 33 Samet, Bessem 32 Zaky, Mahmoud A. 31 Dehghan Takht Fooladi, Mehdi 31 Liu, Zhenhai 31 Wu, Yonghong 31 Yamamoto, Masahiro 30 Henderson, Johnny Lee 30 Sun, Zhizhong 29 de Oliveira, Edmundo Capelas 29 Povstenko, Yuriy Z. 29 Srivastava, Hari Mohan 29 Sun, Hongguang 29 Vanterler da Costa Sousa, José 29 Wei, Ting 28 Liu, Yang 28 Mejjaoli, Hatem 28 Wu, Guocheng 27 Li, Hong 26 Alzabut, Jehad O. 26 Doungmo Goufo, Emile Franc 26 Gou, Haide 26 Rubin, Boris 26 Zeng, Fanhai 26 Zhou, Yong 25 Atanackovic, Teodor M. 25 Fernandez, Arran 25 Garrappa, Roberto 25 Gómez-Aguilar, José Francisco 25 Karniadakis, George Em 25 Khristova, Snezhana G. 25 Lizama, Carlos 25 Luchko, Yuri 25 Momani, Shaher M. 25 Shah, Kamal 25 Tomovski, Živorad 25 Trujillo, Juan J. 25 Yan, Yubin 25 Zhou, Zhi 24 Abbaszadeh, Mostafa 24 Feng, Libo 24 Luca, Rodica 24 Zhang, Lihong 23 Daftardar-Gejji, Varsha 23 Deng, Weihua 23 Graef, John R. 23 Jarad, Fahd 23 Lopes, António M. 23 Stynes, Martin Joseph 23 Zeng, Shengda 22 Abdo, Mohammed Salem 22 Cui, Yujun 22 Huang, Chengming 22 Jiang, Xiaoyun 22 Jin, Bangti 22 Sandev, Trifce 22 Saxena, Ram Kishore 22 Suthar, Daya Lal 21 Ansari, Alireza 21 Bhalekar, Sachin 21 Fečkan, Michal 21 Leonenko, Nikolai N. 21 Nane, Erkan 21 Ordokhani, Yadollah 21 Pagnini, Gianni 21 Torebek, Berikbol Tillabayuly 20 Hendy, Ahmed S. ...and 8,639 more Authors all top 5 Cited in 623 Journals 723 Fractional Calculus & Applied Analysis 446 Advances in Difference Equations 308 Applied Mathematics and Computation 260 Computers & Mathematics with Applications 229 Chaos, Solitons and Fractals 212 Journal of Computational and Applied Mathematics 171 Communications in Nonlinear Science and Numerical Simulation 133 Applied Numerical Mathematics 131 Nonlinear Dynamics 124 Computational and Applied Mathematics 122 Journal of Mathematical Analysis and Applications 116 Applied Mathematics Letters 114 Fractals 113 Journal of Computational Physics 107 Journal of Function Spaces 104 Boundary Value Problems 104 AIMS Mathematics 102 Mathematical Problems in Engineering 102 Abstract and Applied Analysis 92 Mediterranean Journal of Mathematics 90 Journal of Scientific Computing 81 Journal of Inequalities and Applications 71 International Journal of Computer Mathematics 69 International Journal of Applied and Computational Mathematics 68 Physica A 67 Applied Mathematical Modelling 66 Journal of Applied Mathematics and Computing 62 Mathematics and Computers in Simulation 60 Fractional Differential Calculus 59 Numerical Algorithms 57 Journal of the Franklin Institute 52 Nonlinear Analysis. 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