Edit Profile Kilbas, Anatoliĭ Aleksandrovich Compute Distance To: Compute Author ID: kilbas.anatolii-aleksandrovich Published as: Kilbas, A. A.; Kilbas, Anatolii Aleksandrovich; Kilbas, Anatoly; Kilbas, Anatoly A.; Kilbas, Anatoly Al External Links: Math-Net.Ru · dblp · GND Documents Indexed: 230 Publications since 1974, including 10 Books Reviewing Activity: 162 Reviews Biographic References: 9 Publications all top 5 Co-Authors 33 single-authored 64 Saigo, Megumi 38 Trujillo, Juan J. 11 Repin, Oleg Aleksandrovich 10 Samko, Stefan Grigorievich 9 Bonilla, Blanca 9 Glaeske, Hans-Jürgen 9 Rivero, Margarita 9 Rogosin, Sergei V. 9 Shlapakov, Sergei A. 7 Gorenflo, Rudolf 7 Saxena, Ram Kishore 6 Butzer, Paul Leo 6 Koroleva, Anna A. 6 Vasilets, Sergei I. 6 Voroshilov, Aleksandr A. 5 Bubakar, Silla 5 Marzan, Sergei A. 5 Zhukovskaya, Natalia V. 4 Grinko, Alexander P. 4 Marichev, Oleg Igorevich 4 Raina, Ravinder Krishna 4 Rodriguez-Germá, Luis 4 Skoromnik, Oksana V. 4 Srivastava, Hari Mohan 3 Andreev, Aleksandr Anatol’evich 3 Gromak, Elena V. 3 Karapetyants, Nikolai K. 3 Sebastian, Nicy 2 Borovco, Anna 2 Dubatovskaya, Maryna Valer’evna 2 Gaĭshun, Ivan Vasil’vich 2 Kiryakova, Virginia S. 2 Knyazyuk, N. V. 2 Kumar, Dilip 2 Lipnevich, V. V. 2 Mainardi, Francesco 2 Takushima, Hidekazu 2 Titioura, A. A. 2 Yurchuk, Nikolay Iossifovich 2 Zabello, I. N. 1 Adamchik, Victor S. 1 Bonilla, V. 1 Borovco, A. N. 1 Borovko, A. N. 1 Demianko, Svetlana V. 1 Dem’yanko, S. V. 1 Erusalimskii, Yakov 1 Il’in, Vladimir Aleksandrovich 1 Kattuveettil, Anitha 1 Klimets, Natalia G. 1 Kokilashvili, Vakhtang Mikhailovich 1 Luchko, Yurii F. 1 Martínez, H. Guadalupe 1 Moiseev, Evgeniĭ Ivanovich 1 Nair, Seema S. 1 Nunokawa, Mamoru 1 Ohmori, Masahiro 1 Owa, Shigeyoshi 1 Pierantozzi, Teresa 1 Rabinovich, Vladimir Samuilovich 1 Rodríguez-Velazquez, Juan Alberto 1 Rodríguez, José Félix 1 Rodríguez, José Gregorio 1 Rodriguez, Ladys 1 Rodríguez, Laura 1 Rodríguez, Luis Angel 1 Rogovtsov, N. N. 1 Rubin, Boris 1 Saitoh, Hitoshi 1 Schetnikovich, Elena K. 1 Sen’ko, A. A. 1 Shchetnikovich, E. K. 1 Shlapakova, T. S. 1 Srivastava, G. M. 1 Tityura, A. A. 1 Vázquez, Luis 1 Vu Kim Tuan 1 Yakubovich, Semyon B. 1 Zhuk, V. A. 1 Zverovich, Èdmund Ivanovich all top 5 Serials 23 Fractional Calculus & Applied Analysis 20 Integral Transforms and Special Functions 18 Doklady Natsional’noĭ Akademii Nauk Belarusi 13 Fukuoka University Science Reports 9 Doklady Akademii Nauk BSSR 9 Izvestiya Akademii Nauk BSSR. Seriya Fiziko-Matematicheskikh Nauk 8 Doklady Akademii Nauk Belarusi 7 Doklady Mathematics 7 Vestnik Belorusskogo Gosudarstvennogo Universiteta. Seria 1. Fizika, Matematika, Informatika 7 Differential Equations 5 Differential Equations 5 Soviet Mathematics 5 Trudy Instituta Matematiki 4 Journal of Mathematical Analysis and Applications 3 Applicable Analysis 3 Izvestiya Vysshikh Uchebnykh Zavedeniĭ, Matematika 3 Journal of Computational and Applied Mathematics 3 Journal of Integral Equations and Applications 3 Revista de la Academia Canaria de Ciencias 3 Journal of Fractional Calculus 2 Demonstratio Mathematica 2 Differentsial’nye Uravneniya 2 Results in Mathematics 2 Soviet Mathematics. Doklady 2 Journal of Mathematical Research & Exposition 2 Journal of Difference Equations and Applications 2 RIMS Kokyuroku 2 Analysis (München) 2 Mathematical Modelling and Analysis 2 Springer Monographs in Mathematics 1 Computers & Mathematics with Applications 1 Indian Journal of Pure & Applied Mathematics 1 Applied Mathematics and Computation 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of the Korean Mathematical Society 1 Kyungpook Mathematical Journal 1 Mathematica Japonica 1 Mathematische Nachrichten 1 Numerical Functional Analysis and Optimization 1 Science Reports of the Faculty of Education 1 Bulletin of Central Research Institute. Fukuoka University. Natural Sciences 1 Mathematica Balkanica. New Series 1 Journal of Applied Mathematics and Stochastic Analysis 1 Differential and Integral Equations 1 Journal of Physics A: Mathematical and General 1 Vestnik Belorusskogo Gosudarstvennogo Universiteta Imeni V. I. Lenina. Seriya I 1 International Journal of Mathematical and Statistical Sciences 1 Vestnik Rossiĭskogo Universiteta Druzhby Narodov. Seriya Matematika 1 The ANZIAM Journal 1 Mathematical Sciences Research Journal 1 North-Holland Mathematics Studies 1 Analytical Methods and Special Functions 1 Uchenye Zapiski Kazanskogo Gosudarstvennogo Universiteta. Seriya Fiziko-Matematicheskie Nauki all top 5 Fields 94 Real functions (26-XX) 83 Special functions (33-XX) 69 Integral equations (45-XX) 66 Integral transforms, operational calculus (44-XX) 38 Ordinary differential equations (34-XX) 33 Operator theory (47-XX) 29 Partial differential equations (35-XX) 10 History and biography (01-XX) 10 Approximations and expansions (41-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 6 Functional analysis (46-XX) 5 Functions of a complex variable (30-XX) 4 Numerical analysis (65-XX) 3 General and overarching topics; collections (00-XX) 3 Combinatorics (05-XX) 3 Number theory (11-XX) 3 Potential theory (31-XX) 3 Astronomy and astrophysics (85-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Probability theory and stochastic processes (60-XX) 1 Fluid mechanics (76-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 135 Publications have been cited 10,010 times in 7,226 Documents Cited by ▼ Year ▼ Theory and applications of fractional differential equations. Zbl 1092.45003Kilbas, Anatoly A.; Srivastava, Hari M.; Trujillo, Juan J. 4,363 2006 Fractional integrals and derivatives: theory and applications. Transl. from the Russian. Zbl 0818.26003Samko, St. G.; Kilbas, A. A.; Marichev, O. I. 3,073 1993 Integrals and derivatives of fractional order and some of their applications. Zbl 0617.26004Samko, S. G.; Kilbas, A. A.; Marichev, O. I. 445 1987 Mittag-Leffler functions, related topics and applications. Zbl 1309.33001Gorenflo, Rudolf; Kilbas, Anatoly A.; Mainardi, Francesco; Rogosin, Sergei V. 305 2014 Development of the theory of fractional calculus and its applications in Belarusian State University. Zbl 1138.26300Kilbas, A. A. 211 2006 Differential equations of fractional order: Methods, results and problems. I. Zbl 1031.34002Kilbas, A. A.; Trujillo, J. J. 174 2001 Differential equations of fractional order: Methods, results and problems. II. Zbl 1033.34007Kilbas, A. A.; Trujillo, J. J. 119 2002 Generalized Mittag-Leffler function and generalized fractional calculus operators. Zbl 1047.33011Kilbas, Anatoly A.; Saigo, Megumi; Saxena, R. K. 114 2004 Hadamard-type fractional calculus. Zbl 1018.26003Kilbas, Anatoly A. 94 2001 H-transforms. Theory and applications. Zbl 1056.44001Kilbas, Anatoly A.; Saigo, Megumi 88 2004 Compositions of Hadamard-type fractional integration operators and the semigroup property. Zbl 1027.26004Butzer, Paul L.; Kilbas, Anatoly A.; Trujillo, Juan J. 71 2002 Nonlinear differential equations with the Caputo fractional derivative in the space of continuously differentiable functions. Zbl 1160.34301Kilbas, A. A.; Marzan, S. A. 70 2005 Fractional calculus in the Mellin setting and Hadamard-type fractional integrals. Zbl 0995.26007Butzer, Paul L.; Kilbas, Anatoly A.; Trujillo, Juan J. 68 2002 Mellin transform analysis and integration by parts for Hadamard-type fractional integrals. Zbl 1022.26011Butzer, Paul L.; Kilbas, Anatoly A.; Trujillo, Juan J. 63 2002 A Marchaud-Hadamard-type fractional derivative and the inversion of Hadamard-type fractional integrals. Zbl 1206.26007Kilbas, A. A.; Tityura, A. A. 50 2006 On the generalized Wright function. Zbl 1027.33015Kilbas, Anatoly A.; Saigo, Megumi; Trujillo, Juan J. 38 2002 Hadamard-type integrals as \(G\)-transforms. Zbl 1043.26004Kilbas, Anatoly A.; Trujillo, Juan J. 34 2003 On the generalized Mittag-Leffler type functions. Zbl 0935.33012Gorenflo, R.; Kilbas, A. A.; Rogosin, S. V. 34 1998 On Mittag-Leffler type function, fractional calculus operators and solutions of integral equations. Zbl 0876.26007Kilbas, Anatoly A.; Saigo, Megumi 34 1996 Fractional calculus of the generalized Wright function. Zbl 1144.26008Kilbas, Anatoly A. 28 2005 Solution of Volterra integrodifferential equations with generalized Mittag-Leffler function in the Kernels. Zbl 1041.45011Kilbas, Anatoly A.; Saigo, Megumi; Saxena, R. K. 25 2002 On solution of integral equation of Abel-Volterra type. Zbl 0823.45002Kilbas, Anatoly A.; Saigo, Megumi 24 1995 Generalized fractional integration of Bessel function of the first kind. Zbl 1156.26004Kilbas, Anatoly A.; Sebastian, Nicy 22 2008 On Mittag-Leffler type function and applications. Zbl 0933.26001Saigo, Megumi; Kilbas, Anatoly A. 19 1998 Multi-parametric Mittag-Leffler functions and their extension. Zbl 1312.33058Kilbas, Anatoly; Koroleva, Anna; Rogosin, Sergei 17 2013 An analog of the Bitsadze-Samarskiĭ problem for a mixed type equation with a fractional derivative. Zbl 1065.35206Kilbas, A. A.; Repin, O. A. 17 2003 Existence and uniqueness theorems for nonlinear fractional differential equations. Zbl 0964.34004Kilbas, A. A.; Bonilla, B.; Trujillo, J. J. 16 2000 On solution of nonlinear Abel-Volterra integral equation. Zbl 0917.45004Kilbas, Anatoly A.; Saigo, Megumi 16 1999 The Cauchy problem for the diffusion-wave equation with the Caputo partial derivative. Zbl 1123.35302Voroshilov, A. A.; Kilbas, A. A. 14 2006 Cauchy problem for differential equation with Caputo derivative. Zbl 1114.34005Kilbas, Anatoly A.; Marzan, Sergei A. 14 2004 On the solution of fractional evolution equations. Zbl 1059.35030Kilbas, Anatoly A.; Pierantozzi, Teresa; Trujillo, Juan J.; Vazquez, Luis 14 2004 An analog of the Tricomi problem for a mixed type equation with a partial fractional derivative. Zbl 1201.35148Kilbas, Anatoly A.; Repin, Oleg A. 13 2010 \(\alpha\)-analytic solutions of some linear fractional differential equations with variable coefficients. Zbl 1121.34008Kilbas, A. A.; Rivero, M.; Rodríguez-Germá, L.; Trujillo, J. J. 11 2007 Upper and lower bounds for solutions of nonlinear Volterra convolution integral equations with power nonlinearity. Zbl 0982.45003Karapetyants, Nikolai K.; Kilbas, Anatoly A.; Saigo, Megumi; Samko, Stefan G. 11 2000 Fractional Fourier transform in the framework of fractional calculus operators. Zbl 1205.42010Kilbas, A. A.; Luchko, Yu. F.; Martínez, H.; Trujillo, J. J. 10 2010 A Cauchy-type problem for the diffusion-wave equation with Riemann-Liouville partial derivative. Zbl 1155.35396Voroshilov, A. A.; Kilbas, A. A. 10 2006 Integral transforms with Fox’s \(\mathbb{H}\)-function in spaces of summable functions. Zbl 0824.44004Kilbas, Anatoly A.; Saigo, Megumi; Shlapakov, Sergei A. 9 1993 Existence conditions for a classical solution of the Cauchy problem for the diffusion-wave equation with a partial Caputo derivative. Zbl 1196.35069Voroshilov, A. A.; Kilbas, A. A. 8 2007 Stirling functions of the second kind in the setting of difference and fractional calculus. Zbl 1086.11014Butzer, Paul L.; Kilbas, Anatoly A.; Trujillo, Juan J. 8 2003 Fractional integrals and derivatives,and differential equations of fractional order in weighted spaces of continuous functions. Zbl 1177.26011Kilbas, A. A.; Bonilla, B.; Trujillo, Juan J. 8 2000 A nonlinear Volterra integral equation with a weak singularity. Zbl 0970.45003Kilbas, A. A. 8 1995 Generalized fractional integrals and derivatives in Hölder spaces. Zbl 0917.26006Saigo, M.; Kilbas, A. A. 8 1995 Boundary value problems for partial differential equations with discontinuous coefficients. Zbl 1147.35003Marichev, O. I.; Kilbas, A. A.; Repin, O. A. 7 2008 Nonlinear differential equations with Marchaud-Hadamard-type fractional derivative in the weighted space of summable functions. Zbl 1132.26314Kilbas, A. A.; Titioura, A. A. 7 2007 On the solution of nonlinear Volterra convolution equation with power nonlinearity. Zbl 0874.45002Karapetyants, Nikolai K.; Kilbas, Anatoly A.; Saigo, Megumi 7 1996 Solvability of a boundary value problem for a mixed-type equation with a partial Riemann-Liouville fractional derivative. Zbl 1213.35318Kilbas, A. A.; Repin, O. A. 6 2010 Fractional integration of the product of Bessel functions of the first kind. Zbl 1211.26005Kilbas, Anatoly A.; Sebastian, Nicy 6 2010 On generalized Krätzel function. Zbl 1180.33017Kilbas, Anatoly A.; Kumar, Dilip 6 2009 Krätzel functions as a function of hypergeometric type. Zbl 1128.33012Kilbas, Anatoly A.; Saxena, R. K.; Trujillo, Juan J. 6 2006 Nonlinear differential equations of fractional order in the space of integrable functions. Zbl 1137.34308Kilbas, A. A.; Bonilla, V.; Trujillo, J. 6 2000 Computation of fractional integrals via functions of hypergeometric and Bessel type. Zbl 0966.65022Kilbas, A. A.; Trujillo, J. J. 6 2000 Generalized fractional calculus of the \(H\)-function. Zbl 0942.33008Saigo, Megumi; Kilbas, Anatoly A. 6 1999 On inversion of \(H\)-transform in \({\mathfrak L}_{v,r}\)-space. Zbl 0912.33005Shlapakov, Sergei A.; Saigo, Megumi; Kilbas, Anatoly A. 6 1998 Cauchy-type problem for diffusion-wave equation with the Riemann-Liouville partial derivative. Zbl 1128.35007Kilbas, Anatoly A.; Trujillo, Juan J.; Voroshilov, Aleksandr A. 5 2005 Modified Bessel-type function and solution of differential and integral equations. Zbl 1122.33300Bonilla, B.; Kilbas, A. A.; Rivero, M.; Rodriguez, L.; Trujillo, J. J. 5 2000 The Krätzel function and evaluation of integrals. Zbl 1189.33037Kilbas, Anatoly A.; Rodríguez-Germá, Luis; Saigo, Megumi; Saxena, R. K.; Trujillo, J. J. 4 2010 Integral transform with the extended generalized Mittag-Leffler function. Zbl 1110.44001Kilbas, A. A.; Koroleva, A. A. 4 2006 Nonlinear differential equations of fractional order in weighted spaces of continuous functions. Zbl 1204.26009Kilbas, A. A.; Marzan, S. A. 4 2003 Generalized Stirling functions of second kind and representations of fractional order differences via derivatives. Zbl 1096.11500Butzer, Paul L.; Kilbas, Anatoly A.; Trujillo, Juan J. 4 2003 Fractional differential equations: a emergent field in applied and mathematical sciences. Zbl 1053.35038Kilbas, Anatoly A.; Srivastava, Hari M.; Trujillo, Juan J. 4 2003 A modified Bessel-type integral transform and its compositions with fractional calculus operators on spaces \(F_{p,\mu}\) and \(F_{p,\mu}^{\prime}\). Zbl 0958.44004Glaeske, H.-J.; Kilbas, Anatoly A.; Saigo, Megumi 4 2000 Bessel-type functions and Bessel-type integral transforms on spaces \({\mathcal F}_{p,\mu}\) and \({\mathcal F}_{p,\mu}'\). Zbl 0937.33004Bonilla, B.; Rivero, M.; Rodríguez, J.; Trujillo, J.; Kilbas, A. A. 4 1999 Bessel-type integral transforms on \({\mathcal L}_{\nu,r}\)-spaces. Zbl 0969.44003Glaeske, Hans-Jürgen; Kilbas, Anatoly A. 4 1998 On generalized fractional calculus operators and their compositions with axisymmetric differential operator of the potential theory on spaces \(\mathbb{F}_{p,\mu}\) and \(\mathbb{F}_{p,\mu}'\). Zbl 0932.26003Saigo, Megumi; Raina, R. K.; Kilbas, A. A. 4 1993 Mittag-Leffler functions, related topics and applications. 2nd extended and updated edition. Zbl 1451.33001Gorenflo, Rudolf; Kilbas, Anatoly A.; Mainardi, Francesco; Rogosin, Sergei V. 3 2020 Partial fractional differential equations and some of their applications. Zbl 1210.35276Kilbas, Anatoly A. 3 2010 Stirling functions of first kind in the setting of fractional calculus and generalized differences. Zbl 1135.33010Butzer, P. L.; Kilbas, A. A.; Rodríguez-Germá, L.; Trujillo, J. J. 3 2007 Integral equations. A course of lectures. Zbl 1152.45001Kilbas, A. A. 3 2005 Existence and uniqueness theorems for differential equations of fractional order in weighted spaces of continuous functions. Zbl 1085.34002Kilbas, Anatoly Al; Rivero, Margarita; Trujillo, Juan J. 3 2003 The solution of a class of linear differential equations via functions of Mittag-Leffler type. Zbl 0982.34002Saigo, M.; Kilbas, A. A. 3 2000 On the \(H\)-function. Zbl 0934.33018Kilbas, Anatoly A.; Saigo, Megumi 3 1999 Closed-form solution of a class of linear differential equations of fractional order. Zbl 0910.34001Kilbas, A. A.; Saigo, Megumi 3 1997 On asymptotic solutions of nonlinear Abel-Volterra integral equations with quasipolynomial free term. Zbl 0858.45007Kilbas, Anatoly A.; Saigo, Megumi; Gorenflo, Rudolf 3 1995 Integral transforms with Fox’s \(H\)-function in \({\mathfrak L}_{\nu,r}\)-spaces. II. Zbl 0918.44003Kilbas, Anatoly A.; Saigo, Megumi; Shlapakov, Sergei A. 3 1994 The composition of a Bessel-type integral operator with fractional integration-differentiation operators and its applications to solving differential equations. Zbl 0824.47025Kilbas, A. A.; Shlapakov, S. A. 3 1994 On an integral transform of Bessel type and its composition with integral and differential operators. Zbl 0791.44005Kilbas, A. A.; Shlapakov, S. A. 3 1993 Fractional calculus of \({\mathcal P}\)-transforms. Zbl 1228.44009Kumar, Dilip; Kilbas, Anatoly A. 2 2010 Generalized fractional differentiation of Bessel function of the first kind. Zbl 1175.26014Kilbas, Anatoly A.; Sebastian, Nicy 2 2008 Conditions for the existence of a classical solution of a Cauchy type problem for the diffusion equation with a Riemann-Liouville partial derivative. Zbl 1173.35306Voroshilov, A. A.; Kilbas, A. A. 2 2008 Inversion of integral transform with an extended generalized Mittag-Leffler function. Zbl 1201.44007Kilbas, A. A.; Koroleva, A. A. 2 2006 New trends on fractional integral and differential equations. Zbl 1208.45001Kilbas, A. A. 2 2005 An extended generalized function Mittag-Leffler type. Zbl 1178.33024Kilbas, A. A.; Koroleva, A. A. 2 2005 Proceedings of the 3rd international conference on analytical methods of analysis and differential equations, AMADE-2003, Minsk, Belarus, September 4–9, 2003. Zbl 1065.34500Gaishun, I. V. (ed.); Dubatovskaya, M. V. (ed.); Kilbas, A. A. (ed.); Rogosin, S. V. (ed.); Sen’ko, A. A. (ed.); Yurchuk, N. I. (ed.) 2 2005 \(\mathcal Y_\eta\) and \(\mathcal H_\eta\) transforms in \(\mathcal L_{v,r}\)-spaces. Zbl 1028.44003Kilbas, A. A.; Gromak, E. V. 2 2002 Integral transforms with \(H\)-function kernels on \({\mathfrak L}_{\nu,r}\)-spaces. Zbl 1020.44003Glaeske, Hans-Jürgen; Kilbas, Anatoly A.; Saigo, Megumi; Shlapakov, Sergei A. 2 2001 Solvability of some Abel-type integral equations involving the Gauss hypergeometric function as kernels in the spaces of summable functions. Zbl 0989.45003Raina, R. K.; Srivastava, H. M.; Kilbas, A. A.; Saigo, M. 2 2001 On the Meijer transform in \({\mathcal L}_{\nu, \tau}\)-space. Zbl 0974.44003Kilbas, A. A.; Saigo, M.; Trujillo, J. J. 2 2000 Generalized Hankel transform on \({\mathcal L}_{\nu,\tau}\)-space. Zbl 0963.44005Kilbas, Anatoly A.; Trujillo, Juan J. 2 2000 Systems of nonlinear fractional differential equations in the space of summable functions. Zbl 1054.34009Bonilla, B.; Kilbas, A. A.; Trujillo, J. J. 2 2000 Modified Bessel-type integral transform in \({\mathcal L}_{\nu,r}\)-space. Zbl 1058.44500Bonilla, B.; Kilbas, A. A.; Rivero, M.; Rodríguez, L.; Trujillo, J. J. 2 1998 Compositions of Bessel type integral transform with fractional operators on spaces \(\mathcal F_{p,\mu}\) and \(\mathcal F^\prime_{p,\mu}\). Zbl 0940.44003Kilbas, A. A.; Bonilla, B.; Rivero, M.; Rodriguez, J. 2 1998 A problem with deviating argument for a parabolic-hyperbolic equation. Zbl 1075.35537Kilbas, A. A.; Repin, O. A. 2 1998 \(L_{\nu,r}\)-theory of integral transformations with the \(H\)-function in the kernel. Zbl 1161.44304Glaeske, H.-J.; Kilbas, A. A.; Saigo, M.; Shlapakov, S. A. 2 1997 On generalized fractional integration operators with Fox’s \(H\)-function on spaces \(F_{p,\mu}\) and \(F_{p,\mu}^ \prime\). Zbl 0861.33011Kilbas, Anatoly A.; Saigo, Megumi 2 1996 Asymptotic solution of a nonlinear Abel-Volterra integral equation of second kind. Zbl 0838.45004Gorenflo, Rudolf; Kilbas, Anatoly A. 2 1995 On asymptotic solutions of nonlinear and linear Abel-Volterra integral equations. II. Zbl 0853.45005Saigo, Megumi; Kilbas, Anatoly A. 2 1994 On asymptotic solutions of nonlinear and linear Abel-Volterra integral equations. Zbl 0853.45004Kilbas, Anatoly A.; Saigo, Megumi 2 1994 Integral transforms with Fox’s \(H\)-function in \({\mathfrak L}_{\nu,r}\)-spaces. Zbl 0915.44005Kilbas, Anatoly A.; Saigo, Megumi; Shlapakov, Sergei A. 2 1993 Series representations and asymptotic expansions of extended generalized hypergeometric function. Zbl 1298.33022Kilbas, Anatoly A.; Saxena, R. K.; Saigo, Megumi; Trujillo, Juan J. 1 2012 Solving homogeneous fractional differential equations of Euler type. Zbl 1247.34012Zhukovskaya, N. V.; Kilbas, A. A. 1 2011 Mittag-Leffler functions, related topics and applications. 2nd extended and updated edition. Zbl 1451.33001Gorenflo, Rudolf; Kilbas, Anatoly A.; Mainardi, Francesco; Rogosin, Sergei V. 3 2020 Mittag-Leffler functions, related topics and applications. Zbl 1309.33001Gorenflo, Rudolf; Kilbas, Anatoly A.; Mainardi, Francesco; Rogosin, Sergei V. 305 2014 Multi-parametric Mittag-Leffler functions and their extension. Zbl 1312.33058Kilbas, Anatoly; Koroleva, Anna; Rogosin, Sergei 17 2013 Series representations and asymptotic expansions of extended generalized hypergeometric function. Zbl 1298.33022Kilbas, Anatoly A.; Saxena, R. K.; Saigo, Megumi; Trujillo, Juan J. 1 2012 Solving homogeneous fractional differential equations of Euler type. Zbl 1247.34012Zhukovskaya, N. V.; Kilbas, A. A. 1 2011 An analog of the Tricomi problem for a mixed type equation with a partial fractional derivative. Zbl 1201.35148Kilbas, Anatoly A.; Repin, Oleg A. 13 2010 Fractional Fourier transform in the framework of fractional calculus operators. Zbl 1205.42010Kilbas, A. A.; Luchko, Yu. F.; Martínez, H.; Trujillo, J. J. 10 2010 Solvability of a boundary value problem for a mixed-type equation with a partial Riemann-Liouville fractional derivative. Zbl 1213.35318Kilbas, A. A.; Repin, O. A. 6 2010 Fractional integration of the product of Bessel functions of the first kind. Zbl 1211.26005Kilbas, Anatoly A.; Sebastian, Nicy 6 2010 The Krätzel function and evaluation of integrals. Zbl 1189.33037Kilbas, Anatoly A.; Rodríguez-Germá, Luis; Saigo, Megumi; Saxena, R. K.; Trujillo, J. J. 4 2010 Partial fractional differential equations and some of their applications. Zbl 1210.35276Kilbas, Anatoly A. 3 2010 Fractional calculus of \({\mathcal P}\)-transforms. Zbl 1228.44009Kumar, Dilip; Kilbas, Anatoly A. 2 2010 On generalized Krätzel function. Zbl 1180.33017Kilbas, Anatoly A.; Kumar, Dilip 6 2009 Orders and types of the Wright and Mittag-Leffler functions. Zbl 1459.30001Kilbas, A. A.; Lipnevich, V. V. 1 2009 Solution of a multidimensional integral equation of the first kind with the Legendre function in the kernel over a pyramidal domain. Zbl 1180.45003Kilbas, A. A.; Skoromnik, O. V. 1 2009 Integral transforms with the Legendre function of the first kind in the kernels on \(\mathcal L_{\nu,r}\)-spaces. Zbl 1181.44004Kilbas, A. A.; Skoromnik, O. V. 1 2009 Euler-type non-homogeneous differential equations with three Liouville fractional derivatives. Zbl 1204.34009Kilbas, Anatoly A.; Zhukovskaya, Natalia V. 1 2009 Generalized fractional integration of Bessel function of the first kind. Zbl 1156.26004Kilbas, Anatoly A.; Sebastian, Nicy 22 2008 Boundary value problems for partial differential equations with discontinuous coefficients. Zbl 1147.35003Marichev, O. I.; Kilbas, A. A.; Repin, O. A. 7 2008 Generalized fractional differentiation of Bessel function of the first kind. Zbl 1175.26014Kilbas, Anatoly A.; Sebastian, Nicy 2 2008 Conditions for the existence of a classical solution of a Cauchy type problem for the diffusion equation with a Riemann-Liouville partial derivative. Zbl 1173.35306Voroshilov, A. A.; Kilbas, A. A. 2 2008 Analytic methods of analysis and differential equations: AMADE 2006. Papers of the 4th international conference, Minsk, Belarus, September 13–19, 2006. Zbl 1188.34002Kilbas, A. A. (ed.); Rogosin, S. V (ed.) 1 2008 \(\alpha\)-analytic solutions of some linear fractional differential equations with variable coefficients. Zbl 1121.34008Kilbas, A. A.; Rivero, M.; Rodríguez-Germá, L.; Trujillo, J. J. 11 2007 Existence conditions for a classical solution of the Cauchy problem for the diffusion-wave equation with a partial Caputo derivative. Zbl 1196.35069Voroshilov, A. A.; Kilbas, A. A. 8 2007 Nonlinear differential equations with Marchaud-Hadamard-type fractional derivative in the weighted space of summable functions. Zbl 1132.26314Kilbas, A. A.; Titioura, A. A. 7 2007 Stirling functions of first kind in the setting of fractional calculus and generalized differences. Zbl 1135.33010Butzer, P. L.; Kilbas, A. A.; Rodríguez-Germá, L.; Trujillo, J. J. 3 2007 Theory and applications of fractional differential equations. Zbl 1092.45003Kilbas, Anatoly A.; Srivastava, Hari M.; Trujillo, Juan J. 4,363 2006 Development of the theory of fractional calculus and its applications in Belarusian State University. Zbl 1138.26300Kilbas, A. A. 211 2006 A Marchaud-Hadamard-type fractional derivative and the inversion of Hadamard-type fractional integrals. Zbl 1206.26007Kilbas, A. A.; Tityura, A. A. 50 2006 The Cauchy problem for the diffusion-wave equation with the Caputo partial derivative. Zbl 1123.35302Voroshilov, A. A.; Kilbas, A. A. 14 2006 A Cauchy-type problem for the diffusion-wave equation with Riemann-Liouville partial derivative. Zbl 1155.35396Voroshilov, A. A.; Kilbas, A. A. 10 2006 Krätzel functions as a function of hypergeometric type. Zbl 1128.33012Kilbas, Anatoly A.; Saxena, R. K.; Trujillo, Juan J. 6 2006 Integral transform with the extended generalized Mittag-Leffler function. Zbl 1110.44001Kilbas, A. A.; Koroleva, A. A. 4 2006 Inversion of integral transform with an extended generalized Mittag-Leffler function. Zbl 1201.44007Kilbas, A. A.; Koroleva, A. A. 2 2006 Extended generalized Mittag-Leffler functions as \(H\)-functions, generalized Wright functions, and their differentiation formulas. Zbl 1147.44002Kilbas, A. A.; Koroleva, A. A. 1 2006 Nonlinear differential equations with the Caputo fractional derivative in the space of continuously differentiable functions. Zbl 1160.34301Kilbas, A. A.; Marzan, S. A. 70 2005 Fractional calculus of the generalized Wright function. Zbl 1144.26008Kilbas, Anatoly A. 28 2005 Cauchy-type problem for diffusion-wave equation with the Riemann-Liouville partial derivative. Zbl 1128.35007Kilbas, Anatoly A.; Trujillo, Juan J.; Voroshilov, Aleksandr A. 5 2005 Integral equations. A course of lectures. Zbl 1152.45001Kilbas, A. A. 3 2005 New trends on fractional integral and differential equations. Zbl 1208.45001Kilbas, A. A. 2 2005 An extended generalized function Mittag-Leffler type. Zbl 1178.33024Kilbas, A. A.; Koroleva, A. A. 2 2005 Proceedings of the 3rd international conference on analytical methods of analysis and differential equations, AMADE-2003, Minsk, Belarus, September 4–9, 2003. Zbl 1065.34500Gaishun, I. V. (ed.); Dubatovskaya, M. V. (ed.); Kilbas, A. A. (ed.); Rogosin, S. V. (ed.); Sen’ko, A. A. (ed.); Yurchuk, N. I. (ed.) 2 2005 Generalized Mittag-Leffler function and generalized fractional calculus operators. Zbl 1047.33011Kilbas, Anatoly A.; Saigo, Megumi; Saxena, R. K. 114 2004 H-transforms. Theory and applications. Zbl 1056.44001Kilbas, Anatoly A.; Saigo, Megumi 88 2004 Cauchy problem for differential equation with Caputo derivative. Zbl 1114.34005Kilbas, Anatoly A.; Marzan, Sergei A. 14 2004 On the solution of fractional evolution equations. Zbl 1059.35030Kilbas, Anatoly A.; Pierantozzi, Teresa; Trujillo, Juan J.; Vazquez, Luis 14 2004 Hadamard-type integrals as \(G\)-transforms. Zbl 1043.26004Kilbas, Anatoly A.; Trujillo, Juan J. 34 2003 An analog of the Bitsadze-Samarskiĭ problem for a mixed type equation with a fractional derivative. Zbl 1065.35206Kilbas, A. A.; Repin, O. A. 17 2003 Stirling functions of the second kind in the setting of difference and fractional calculus. Zbl 1086.11014Butzer, Paul L.; Kilbas, Anatoly A.; Trujillo, Juan J. 8 2003 Nonlinear differential equations of fractional order in weighted spaces of continuous functions. Zbl 1204.26009Kilbas, A. A.; Marzan, S. A. 4 2003 Generalized Stirling functions of second kind and representations of fractional order differences via derivatives. Zbl 1096.11500Butzer, Paul L.; Kilbas, Anatoly A.; Trujillo, Juan J. 4 2003 Fractional differential equations: a emergent field in applied and mathematical sciences. Zbl 1053.35038Kilbas, Anatoly A.; Srivastava, Hari M.; Trujillo, Juan J. 4 2003 Existence and uniqueness theorems for differential equations of fractional order in weighted spaces of continuous functions. Zbl 1085.34002Kilbas, Anatoly Al; Rivero, Margarita; Trujillo, Juan J. 3 2003 Hadamard-type fractional integrals and derivatives and differential equations of fractional order. Zbl 1247.45007Kilbas, Anatolii Aleksandrovich; Marzan, Sergei A.; Titioura, A. A. 1 2003 Hankel-Schwartz and Hankel-Clifford transforms on \({\mathcal L}_{\nu,p}\)-spaces. Zbl 1161.44302Kilbas, Anatoly A.; Trujillo, Juan J. 1 2003 Differential equations of fractional order: Methods, results and problems. II. Zbl 1033.34007Kilbas, A. A.; Trujillo, J. J. 119 2002 Compositions of Hadamard-type fractional integration operators and the semigroup property. Zbl 1027.26004Butzer, Paul L.; Kilbas, Anatoly A.; Trujillo, Juan J. 71 2002 Fractional calculus in the Mellin setting and Hadamard-type fractional integrals. Zbl 0995.26007Butzer, Paul L.; Kilbas, Anatoly A.; Trujillo, Juan J. 68 2002 Mellin transform analysis and integration by parts for Hadamard-type fractional integrals. Zbl 1022.26011Butzer, Paul L.; Kilbas, Anatoly A.; Trujillo, Juan J. 63 2002 On the generalized Wright function. Zbl 1027.33015Kilbas, Anatoly A.; Saigo, Megumi; Trujillo, Juan J. 38 2002 Solution of Volterra integrodifferential equations with generalized Mittag-Leffler function in the Kernels. Zbl 1041.45011Kilbas, Anatoly A.; Saigo, Megumi; Saxena, R. K. 25 2002 \(\mathcal Y_\eta\) and \(\mathcal H_\eta\) transforms in \(\mathcal L_{v,r}\)-spaces. Zbl 1028.44003Kilbas, A. A.; Gromak, E. V. 2 2002 Mittag-Leffler integral transform on \({\mathcal L}_{\nu,r}\)-spaces. Zbl 1046.44002Bonilla, B.; Rivero, Margarita; Rodriguez-Germá, Luis; Trujillo, Juan J.; Kilbas, Anatoly A.; Klimets, Natalia G. 1 2002 Generalized Hankel-type integral transform on \(\mathcal L_ {\nu,r}\)-spaces. Zbl 1036.44002Kilbas, Anatoly A.; Schetnikovich, Elena K. 1 2002 Nonlocal problem for a hyperbolic equation with fractional derivatives in the boundary condition. Zbl 1015.35059Kilbas, A. A.; Repin, O. A.; Saigo, Megumi 1 2002 Asymptotic representations for hypergeometric-Bessel type function and fractional integrals. Zbl 1013.33003Kilbas, Anatoly A.; Rodríguez, Luis; Trujillo, Juan J. 1 2002 Generalized fractional integral transforms with Gauss function kernels as \(G\)-transforms. Zbl 1028.44004Kilbas, Anatoly A.; Repin, Oleg A.; Saigo, Megumi 1 2002 Differential equations of fractional order: Methods, results and problems. I. Zbl 1031.34002Kilbas, A. A.; Trujillo, J. J. 174 2001 Hadamard-type fractional calculus. Zbl 1018.26003Kilbas, Anatoly A. 94 2001 Integral transforms with \(H\)-function kernels on \({\mathfrak L}_{\nu,r}\)-spaces. Zbl 1020.44003Glaeske, Hans-Jürgen; Kilbas, Anatoly A.; Saigo, Megumi; Shlapakov, Sergei A. 2 2001 Solvability of some Abel-type integral equations involving the Gauss hypergeometric function as kernels in the spaces of summable functions. Zbl 0989.45003Raina, R. K.; Srivastava, H. M.; Kilbas, A. A.; Saigo, M. 2 2001 Existence and uniqueness theorems for nonlinear fractional differential equations. Zbl 0964.34004Kilbas, A. A.; Bonilla, B.; Trujillo, J. J. 16 2000 Upper and lower bounds for solutions of nonlinear Volterra convolution integral equations with power nonlinearity. Zbl 0982.45003Karapetyants, Nikolai K.; Kilbas, Anatoly A.; Saigo, Megumi; Samko, Stefan G. 11 2000 Fractional integrals and derivatives,and differential equations of fractional order in weighted spaces of continuous functions. Zbl 1177.26011Kilbas, A. A.; Bonilla, B.; Trujillo, Juan J. 8 2000 Nonlinear differential equations of fractional order in the space of integrable functions. Zbl 1137.34308Kilbas, A. A.; Bonilla, V.; Trujillo, J. 6 2000 Computation of fractional integrals via functions of hypergeometric and Bessel type. Zbl 0966.65022Kilbas, A. A.; Trujillo, J. J. 6 2000 Modified Bessel-type function and solution of differential and integral equations. Zbl 1122.33300Bonilla, B.; Kilbas, A. A.; Rivero, M.; Rodriguez, L.; Trujillo, J. J. 5 2000 A modified Bessel-type integral transform and its compositions with fractional calculus operators on spaces \(F_{p,\mu}\) and \(F_{p,\mu}^{\prime}\). Zbl 0958.44004Glaeske, H.-J.; Kilbas, Anatoly A.; Saigo, Megumi 4 2000 The solution of a class of linear differential equations via functions of Mittag-Leffler type. Zbl 0982.34002Saigo, M.; Kilbas, A. A. 3 2000 On the Meijer transform in \({\mathcal L}_{\nu, \tau}\)-space. Zbl 0974.44003Kilbas, A. A.; Saigo, M.; Trujillo, J. J. 2 2000 Generalized Hankel transform on \({\mathcal L}_{\nu,\tau}\)-space. Zbl 0963.44005Kilbas, Anatoly A.; Trujillo, Juan J. 2 2000 Systems of nonlinear fractional differential equations in the space of summable functions. Zbl 1054.34009Bonilla, B.; Kilbas, A. A.; Trujillo, J. J. 2 2000 The generalized Hardy-Titchmarsh transform in the space of summable functions. Zbl 1045.44002Kilbas, A. A.; Saigo, M.; Borovko, A. N. 1 2000 Hardy-Titchmarsh and Hankel type transforms in \({\mathcal L}_{\nu,\tau}\)-spaces. Zbl 0976.44010Kilbas, A. A.; Borovco, A. N. 1 2000 On the generalized Hardy-Titchmarsh transform in \({\mathfrak L}_{\nu,r}\)-space. Zbl 0958.44006Kilbas, Anatoly A.; Saigo, Megumi; Borovco, Anna 1 2000 On solution of nonlinear Abel-Volterra integral equation. Zbl 0917.45004Kilbas, Anatoly A.; Saigo, Megumi 16 1999 Generalized fractional calculus of the \(H\)-function. Zbl 0942.33008Saigo, Megumi; Kilbas, Anatoly A. 6 1999 Bessel-type functions and Bessel-type integral transforms on spaces \({\mathcal F}_{p,\mu}\) and \({\mathcal F}_{p,\mu}'\). Zbl 0937.33004Bonilla, B.; Rivero, M.; Rodríguez, J.; Trujillo, J.; Kilbas, A. A. 4 1999 On the \(H\)-function. Zbl 0934.33018Kilbas, Anatoly A.; Saigo, Megumi 3 1999 Solution of multidimensional hypergeometric integral equations of Abel type. Zbl 1039.45502Kilbas, A. A.; Raina, R. K.; Saigo, M.; Srivastava, G. M. 1 1999 On the Lommel-Maitland transform in \(\mathfrak L_{\nu,r}\)-space. Zbl 1032.44007Kilbas, Anatoly A.; Saigo, Megumi; Borovco, Anna 1 1999 On the Hankel-type integral transform in \({\mathcal L}_{\nu,r}\)-spaces. Zbl 1032.44006Kilbas, Anatoly A.; Trujillo, Juan J. 1 1999 Obituary. Anatolii Platonovich Prudnikov (1927-1999). Zbl 0938.01039Glaeske, H.-J.; Il’in, V. A.; Kilbas, A. A.; Moiseev, E. I.; Saigo, M.; Samko, S. G. 1 1999 On the generalized Mittag-Leffler type functions. Zbl 0935.33012Gorenflo, R.; Kilbas, A. A.; Rogosin, S. V. 34 1998 On Mittag-Leffler type function and applications. Zbl 0933.26001Saigo, Megumi; Kilbas, Anatoly A. 19 1998 On inversion of \(H\)-transform in \({\mathfrak L}_{v,r}\)-space. Zbl 0912.33005Shlapakov, Sergei A.; Saigo, Megumi; Kilbas, Anatoly A. 6 1998 Bessel-type integral transforms on \({\mathcal L}_{\nu,r}\)-spaces. Zbl 0969.44003Glaeske, Hans-Jürgen; Kilbas, Anatoly A. 4 1998 Modified Bessel-type integral transform in \({\mathcal L}_{\nu,r}\)-space. Zbl 1058.44500Bonilla, B.; Kilbas, A. A.; Rivero, M.; Rodríguez, L.; Trujillo, J. J. 2 1998 Compositions of Bessel type integral transform with fractional operators on spaces \(\mathcal F_{p,\mu}\) and \(\mathcal F^\prime_{p,\mu}\). Zbl 0940.44003Kilbas, A. A.; Bonilla, B.; Rivero, M.; Rodriguez, J. 2 1998 A problem with deviating argument for a parabolic-hyperbolic equation. Zbl 1075.35537Kilbas, A. A.; Repin, O. A. 2 1998 ...and 35 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 6,710 Authors 241 Băleanu, Dumitru I. 129 Ahmad, Bashir 102 Ntouyas, Sotiris K. 98 Wang, Jinrong 86 Al-saedi, Ahmed Eid Salem 83 Benchohra, Mouffak 77 Zhou, Yong 75 Machado, José António Tenreiro 72 Agarwal, Ravi P. 71 Nieto Roig, Juan Jose 68 Srivastava, Hari Mohan 67 Abdeljawad, Thabet 67 Trujillo, Juan J. 61 Tarasov, Vasily E. 60 Liu, Fawang 55 O’Regan, Donal 52 Tariboon, Jessada 51 Abbas, Said 47 Liu, Lishan 45 Torres, Delfim Fernando Marado 42 Kilbas, Anatoliĭ Aleksandrovich 42 Shah, Kamal 39 Li, Changpin 37 Atangana, Abdon 37 Chen, Yangquan 37 Turner, Ian William 37 Wu, Yonghong 36 Mainardi, Francesco 35 Ibrahim, Rabha Waell 34 Agarwal, Praveen 34 Balachandran, Krishnan 33 Atanackovic, Teodor M. 33 Saxena, Ram Kishore 32 Almeida, Ricardo 32 Jarad, Fahd 32 Meerschaert, Mark M. 32 Repin, Oleg Aleksandrovich 31 Jafari, Hossein 30 Khan, Rahmat Ali 29 Cao, Jinde 28 Jiang, Wei 28 Liu, Wenbin 28 Wang, Guotao 28 Yang, Xiao-Jun 27 de Oliveira, Edmundo Capelas 27 Daftardar-Gejji, Varsha 27 Henderson, Johnny Lee 27 Kirane, Mokhtar 27 Povstenko, Yuriy Z. 27 Sun, Shurong 26 Anh, Vo V. 26 Fečkan, Michal 26 Momani, Shaher M. 26 Tatar, Nasser-eddine 26 Zhang, Shuqin 25 Han, Zhenlai 25 Kiliçman, Adem 25 Pandey, Dwijendra Narain 24 Liu, Yuji 24 Nyamoradi, Nemat 24 Pilipović, Stevan 23 Wang, Hong 22 Cui, Yujun 22 Debbouche, Amar 22 Garrappa, Roberto 22 Gorenflo, Rudolf 22 Liu, Zhenhai 22 Samet, Bessem 22 Zhou, Zhi 22 Zorica, Dusan 21 Agrawal, Om Prakash 21 Farid, Ghulam 21 Graef, John R. 21 Jin, Bangti 21 Owolabi, Kolade Matthew 21 Sooppy Nisar, Kottakkaran 20 Luca, Rodica 20 Rubin, Boris 20 Sadarangani, Kishin B. 19 Babakhani, Azizollah 19 Bai, Zhanbing 19 Bhalekar, Sachin 19 Garra, Roberto 19 Kamocki, Rafal 19 Kumykova, Svetlana Kanshubievna 19 Luchko, Yuri 19 Mahmudov, Nazim Idrisoglu 19 Rivero, Margarita 19 Tomovski, Živorad 19 Zhang, Xinguang 18 Choi, Junesang 18 El-Sayed, Ahmed Mohamed Ahmed 18 Jleli, Mohamed 18 Kumar, Devendra 18 Malinowska, Agnieszka Barbara 18 Nguyen Huy Tuan 18 Rezapour, Shahram 18 Samko, Stefan Grigorievich 17 Golmankhaneh, Alireza Khalili 17 Polito, Federico ...and 6,610 more Authors all top 5 Cited in 541 Serials 427 Advances in Difference Equations 355 Applied Mathematics and Computation 355 Fractional Calculus & Applied Analysis 291 Computers & Mathematics with Applications 283 Abstract and Applied Analysis 180 Communications in Nonlinear Science and Numerical Simulation 156 Journal of Computational and Applied Mathematics 147 Chaos, Solitons and Fractals 144 Nonlinear Dynamics 139 Journal of Mathematical Analysis and Applications 117 Applied Mathematics Letters 94 Boundary Value Problems 92 Journal of Applied Mathematics and Computing 92 Journal of Function Spaces 91 Mathematical Problems in Engineering 77 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 74 Journal of Computational Physics 65 Discrete Dynamics in Nature and Society 65 Mediterranean Journal of Mathematics 64 Journal of Mathematical Physics 62 Applied Mathematical Modelling 60 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 57 Applied Numerical Mathematics 55 Journal of Nonlinear Science and Applications 54 Differential Equations 52 Computational and Applied Mathematics 52 Integral Transforms and Special Functions 47 Mathematical Methods in the Applied Sciences 46 Chaos 46 Advances in Mathematical Physics 45 International Journal of Differential Equations 44 Stochastic Processes and their Applications 41 Nonlinear Analysis. Modelling and Control 40 Physics Letters. A 38 Journal of the Franklin Institute 38 Journal of Scientific Computing 37 Russian Mathematics 36 Numerical Algorithms 35 Journal of Optimization Theory and Applications 35 Journal of Integral Equations and Applications 35 Differential Equations and Dynamical Systems 35 Fractional Differential Calculus 35 International Journal of Applied and Computational Mathematics 34 Mathematics 33 Journal of Mathematical Sciences (New York) 31 Journal of Differential Equations 31 Complexity 30 International Journal of Computer Mathematics 30 Journal of Applied Analysis and Computation 29 International Journal of Nonlinear Sciences and Numerical Simulation 28 Journal of Inequalities and Applications 28 Lobachevskii Journal of Mathematics 28 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 28 Journal of Mathematics 26 Mathematical Notes 26 Mathematics and Computers in Simulation 26 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 26 Journal of Applied Mathematics 26 Tbilisi Mathematical Journal 25 Ukrainian Mathematical Journal 25 Open Mathematics 24 Statistics & Probability Letters 23 Stochastic Analysis and Applications 23 Discrete and Continuous Dynamical Systems. Series B 22 Physica A 22 Journal of Functional Analysis 21 International Journal of Theoretical Physics 21 Doklady Mathematics 19 Siberian Mathematical Journal 19 Mathematical and Computer Modelling 19 Neural Networks 19 Vestnik KRAUNTS. Fiziko-Matematicheskie Nauki 18 Acta Mechanica 18 Rocky Mountain Journal of Mathematics 18 Automatica 18 Numerical Functional Analysis and Optimization 18 Cybernetics and Systems Analysis 18 Nonlinear Analysis. Real World Applications 18 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 18 Journal of Function Spaces and Applications 17 SIAM Journal on Scientific Computing 17 Axioms 16 Results in Mathematics 16 Boletim da Sociedade Paranaense de Matemática. Terceira Série 15 Reports on Mathematical Physics 15 The Annals of Probability 15 Engineering Analysis with Boundary Elements 15 Asian-European Journal of Mathematics 15 Computational Methods for Differential Equations 14 Theoretical and Mathematical Physics 14 SIAM Journal on Numerical Analysis 14 Fractals 14 Journal of Vibration and Control 14 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 14 Mathematical Modelling of Natural Phenomena 14 Discrete and Continuous Dynamical Systems. Series S 13 Inverse Problems 13 Journal of Statistical Physics 13 International Journal of Mathematics and Mathematical Sciences 13 Journal of Approximation Theory ...and 441 more Serials all top 5 Cited in 60 Fields 3,123 Ordinary differential equations (34-XX) 2,266 Real functions (26-XX) 2,040 Partial differential equations (35-XX) 1,304 Numerical analysis (65-XX) 897 Operator theory (47-XX) 708 Integral equations (45-XX) 574 Special functions (33-XX) 548 Systems theory; control (93-XX) 531 Probability theory and stochastic processes (60-XX) 267 Calculus of variations and optimal control; optimization (49-XX) 248 Integral transforms, operational calculus (44-XX) 239 Biology and other natural sciences (92-XX) 184 Dynamical systems and ergodic theory (37-XX) 175 Mechanics of deformable solids (74-XX) 172 Fluid mechanics (76-XX) 138 Harmonic analysis on Euclidean spaces (42-XX) 132 Functional analysis (46-XX) 125 Difference and functional equations (39-XX) 125 Statistical mechanics, structure of matter (82-XX) 96 Approximations and expansions (41-XX) 89 Functions of a complex variable (30-XX) 87 Quantum theory (81-XX) 86 Mechanics of particles and systems (70-XX) 81 Global analysis, analysis on manifolds (58-XX) 79 Information and communication theory, circuits (94-XX) 77 Measure and integration (28-XX) 74 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 71 Statistics (62-XX) 59 Classical thermodynamics, heat transfer (80-XX) 42 Computer science (68-XX) 42 Optics, electromagnetic theory (78-XX) 31 Number theory (11-XX) 31 Operations research, mathematical programming (90-XX) 28 Potential theory (31-XX) 26 Relativity and gravitational theory (83-XX) 21 Combinatorics (05-XX) 21 Abstract harmonic analysis (43-XX) 20 Geophysics (86-XX) 16 Linear and multilinear algebra; matrix theory (15-XX) 16 General topology (54-XX) 13 Sequences, series, summability (40-XX) 9 Several complex variables and analytic spaces (32-XX) 9 Differential geometry (53-XX) 8 General and overarching topics; collections (00-XX) 8 History and biography (01-XX) 7 Astronomy and astrophysics (85-XX) 5 Group theory and generalizations (20-XX) 5 Topological groups, Lie groups (22-XX) 4 Convex and discrete geometry (52-XX) 3 Algebraic geometry (14-XX) 3 Mathematics education (97-XX) 2 Nonassociative rings and algebras (17-XX) 2 Algebraic topology (55-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 \(K\)-theory (19-XX) 1 Geometry (51-XX) 1 Manifolds and cell complexes (57-XX) Citations by Year