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A.; Kilbas, Anatoly A.; Kilbas, Anatoly; Kilbas, Anatolii Aleksandrovich; Kilbas, Anatoly Al more...less External Links: Math-Net.Ru · dblp · GND Documents Indexed: 226 Publications since 1974, including 8 Books 4 Contributions as Editor Reviewing Activity: 162 Reviews Biographic References: 10 Publications Co-Authors: 71 Co-Authors with 196 Joint Publications 1,938 Co-Co-Authors all top 5 Co-Authors 34 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 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 Rivero, Margarita 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 M. 1 Il’in, Vladimir Aleksandrovich 1 Kattuveettil, Anitha 1 Klimets, Natalia G. 1 Kokilashvili, Vakhtang Mikhailovich 1 Luchko, Yurii F. 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 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 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 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales (España) 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) 70 Integral equations (45-XX) 67 Integral transforms, operational calculus (44-XX) 39 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 133 Publications have been cited 12,260 times in 9,024 Documents Cited by ▼ Year ▼ Theory and applications of fractional differential equations. Zbl 1092.45003Kilbas, Anatoly A.; Srivastava, Hari M.; Trujillo, Juan J. 5,544 2006 Fractional integrals and derivatives: theory and applications. Transl. from the Russian. Zbl 0818.26003Samko, St. G.; Kilbas, A. A.; Marichev, O. I. 3,691 1993 Integrals and derivatives of fractional order and some of their applications. (Интегралы и производные дробного порядка и некоторые их приложения.) Zbl 0617.26004Samko, S. G.; Kilbas, A. A.; Marichev, O. I. 476 1987 Mittag-Leffler functions, related topics and applications. Zbl 1309.33001Gorenflo, Rudolf; Kilbas, Anatoly A.; Mainardi, Francesco; Rogosin, Sergei V. 444 2014 Development of the theory of fractional calculus and its applications in Belarusian State University. Zbl 1138.26300Kilbas, A. A. 190 2006 Differential equations of fractional order: Methods, results and problems. I. Zbl 1031.34002Kilbas, A. A.; Trujillo, J. J. 187 2001 Generalized Mittag-Leffler function and generalized fractional calculus operators. Zbl 1047.33011Kilbas, Anatoly A.; Saigo, Megumi; Saxena, R. K. 160 2004 Hadamard-type fractional calculus. Zbl 1018.26003Kilbas, Anatoly A. 147 2001 Differential equations of fractional order: Methods, results and problems. II. Zbl 1033.34007Kilbas, A. A.; Trujillo, J. J. 124 2002 H-transforms. Theory and applications. Zbl 1056.44001Kilbas, Anatoly A.; Saigo, Megumi 97 2004 Fractional calculus in the Mellin setting and Hadamard-type fractional integrals. Zbl 0995.26007Butzer, Paul L.; Kilbas, Anatoly A.; Trujillo, Juan J. 85 2002 Compositions of Hadamard-type fractional integration operators and the semigroup property. Zbl 1027.26004Butzer, Paul L.; Kilbas, Anatoly A.; Trujillo, Juan J. 79 2002 Nonlinear differential equations with the Caputo fractional derivative in the space of continuously differentiable functions. Zbl 1160.34301Kilbas, A. A.; Marzan, S. A. 77 2005 Mellin transform analysis and integration by parts for Hadamard-type fractional integrals. Zbl 1022.26011Butzer, Paul L.; Kilbas, Anatoly A.; Trujillo, Juan J. 75 2002 On the generalized Wright function. Zbl 1027.33015Kilbas, Anatoly A.; Saigo, Megumi; Trujillo, Juan J. 45 2002 Hadamard-type integrals as \(G\)-transforms. Zbl 1043.26004Kilbas, Anatoly A.; Trujillo, Juan J. 42 2003 On the generalized Mittag-Leffler type functions. Zbl 0935.33012Gorenflo, R.; Kilbas, A. A.; Rogosin, S. V. 41 1998 On Mittag-Leffler type function, fractional calculus operators and solutions of integral equations. Zbl 0876.26007Kilbas, Anatoly A.; Saigo, Megumi 39 1996 A Marchaud-Hadamard-type fractional derivative and the inversion of Hadamard-type fractional integrals. Zbl 1206.26007Kilbas, A. A.; Tityura, A. A. 38 2006 Fractional calculus of the generalized Wright function. Zbl 1144.26008Kilbas, Anatoly A. 33 2005 Generalized fractional integration of Bessel function of the first kind. Zbl 1156.26004Kilbas, Anatoly A.; Sebastian, Nicy 29 2008 Solution of Volterra integrodifferential equations with generalized Mittag-Leffler function in the Kernels. Zbl 1041.45011Kilbas, Anatoly A.; Saigo, Megumi; Saxena, R. K. 28 2002 Mittag-Leffler functions, related topics and applications. 2nd extended and updated edition. Zbl 1451.33001Gorenflo, Rudolf; Kilbas, Anatoly A.; Mainardi, Francesco; Rogosin, Sergei V. 27 2020 On solution of integral equation of Abel-Volterra type. Zbl 0823.45002Kilbas, Anatoly A.; Saigo, Megumi 27 1995 On Mittag-Leffler type function and applications. Zbl 0933.26001Saigo, Megumi; Kilbas, Anatoly A. 22 1998 Cauchy problem for differential equation with Caputo derivative. Zbl 1114.34005Kilbas, Anatoly A.; Marzan, Sergei A. 22 2004 Existence and uniqueness theorems for nonlinear fractional differential equations. Zbl 0964.34004Kilbas, A. A.; Bonilla, B.; Trujillo, J. J. 21 2000 Multi-parametric Mittag-Leffler functions and their extension. Zbl 1312.33058Kilbas, Anatoly; Koroleva, Anna; Rogosin, Sergei 20 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. 18 2003 The Cauchy problem for the diffusion-wave equation with the Caputo partial derivative. Zbl 1123.35302Voroshilov, A. A.; Kilbas, A. A. 17 2006 On solution of nonlinear Abel-Volterra integral equation. Zbl 0917.45004Kilbas, Anatoly A.; Saigo, Megumi 16 1999 On the solution of fractional evolution equations. Zbl 1059.35030Kilbas, Anatoly A.; Pierantozzi, Teresa; Trujillo, Juan J.; Vazquez, Luis 16 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. 16 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. 15 2007 Fractional Fourier transform in the framework of fractional calculus operators. Zbl 1205.42010Kilbas, A. A.; Luchko, Yu. F.; Martínez, H.; Trujillo, J. J. 13 2010 Partial fractional differential equations and some of their applications. Zbl 1210.35276Kilbas, Anatoly A. 13 2010 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. 12 2000 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. 10 2003 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 Nonlinear differential equations with Marchaud-Hadamard-type fractional derivative in the weighted space of summable functions. Zbl 1132.26314Kilbas, A. A.; Titioura, A. A. 9 2007 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. (Краевые задачи для уравнений в частных производных с разрывными коѐффициентами.) Zbl 1147.35003Marichev, O. I.; Kilbas, A. A.; Repin, O. A. 8 2008 Computation of fractional integrals via functions of hypergeometric and Bessel type. Zbl 0966.65022Kilbas, A. A.; Trujillo, J. J. 8 2000 A nonlinear Volterra integral equation with a weak singularity. Zbl 0970.45003Kilbas, A. A. 8 1995 Cauchy-type problem for diffusion-wave equation with the Riemann-Liouville partial derivative. Zbl 1128.35007Kilbas, Anatoly A.; Trujillo, Juan J.; Voroshilov, Aleksandr A. 8 2005 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 Krätzel functions as a function of hypergeometric type. Zbl 1128.33012Kilbas, Anatoly A.; Saxena, R. K.; Trujillo, Juan J. 7 2006 Fractional integration of the product of Bessel functions of the first kind. Zbl 1211.26005Kilbas, Anatoly A.; Sebastian, Nicy 7 2010 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. 7 2007 On inversion of \(H\)-transform in \({\mathfrak L}_{v,r}\)-space. Zbl 0912.33005Shlapakov, Sergei A.; Saigo, Megumi; Kilbas, Anatoly A. 6 1998 Generalized fractional calculus of the \(H\)-function. Zbl 0942.33008Saigo, Megumi; Kilbas, Anatoly A. 6 1999 Fractional differential equations: a emergent field in applied and mathematical sciences. Zbl 1053.35038Kilbas, Anatoly A.; Srivastava, Hari M.; Trujillo, Juan J. 6 2003 Nonlinear differential equations of fractional order in the space of integrable functions. Zbl 1137.34308Kilbas, A. A.; Bonilla, V.; Trujillo, J. 6 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 6 2000 On the solution of nonlinear Volterra convolution equation with power nonlinearity. Zbl 0874.45002Karapetyants, Nikolai K.; Kilbas, Anatoly A.; Saigo, Megumi 6 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 On generalized Krätzel function. Zbl 1180.33017Kilbas, Anatoly A.; Kumar, Dilip 6 2009 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 Generalized fractional differentiation of Bessel function of the first kind. Zbl 1175.26014Kilbas, Anatoly A.; Sebastian, Nicy 5 2008 The Krätzel function and evaluation of integrals. Zbl 1189.33037Kilbas, Anatoly A.; Rodríguez-Germá, Luis; Saigo, Megumi; Saxena, R. K.; Trujillo, J. J. 5 2010 Closed-form solution of a class of linear differential equations of fractional order. Zbl 0910.34001Kilbas, A. A.; Saigo, Megumi 5 1997 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 On the \(H\)-function. Zbl 0934.33018Kilbas, Anatoly A.; Saigo, Megumi 4 1999 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 Integral equations. A course of lectures. (Интегральные уравнения. Курс лекций.) Zbl 1152.45001Kilbas, A. A. 4 2005 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 Integral transform with the extended generalized Mittag-Leffler function. Zbl 1110.44001Kilbas, A. A.; Koroleva, A. A. 4 2006 Hadamard-type fractional integrals and derivatives and differential equations of fractional order. Zbl 1247.45007Kilbas, Anatolii Aleksandrovich; Marzan, Sergei A.; Titioura, A. A. 4 2003 Nonlinear differential equations of fractional order in weighted spaces of continuous functions. Zbl 1204.26009Kilbas, A. A.; Marzan, S. A. 4 2003 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 solution of a class of linear differential equations via functions of Mittag-Leffler type. Zbl 0982.34002Saigo, M.; Kilbas, A. A. 3 2000 Hadamard-type integral equations and fractional calculus operators. Zbl 1031.45004Kilbas, Anatoly A. 3 2003 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 asymptotic solutions of nonlinear Abel-Volterra integral equations with quasipolynomial free term. Zbl 0858.45007Kilbas, Anatoly A.; Saigo, Megumi; Gorenflo, Rudolf 3 1995 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. 3 2001 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 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 A problem with deviating argument for a parabolic-hyperbolic equation. Zbl 1075.35537Kilbas, A. A.; Repin, O. A. 2 1998 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 Fractional calculus of the \(H\)-function. Zbl 0923.33006Kilbas, Anatoly A.; Saigo, Megumi 2 1998 On asymptotic solutions of nonlinear and linear Abel-Volterra integral equations. Zbl 0853.45004Kilbas, Anatoly A.; Saigo, Megumi 2 1994 On asymptotic solutions of nonlinear and linear Abel-Volterra integral equations. II. Zbl 0853.45005Saigo, Megumi; Kilbas, Anatoly A. 2 1994 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 Solution of multidimensional hypergeometric integral equations of Abel type. Zbl 1039.45502Kilbas, A. A.; Raina, R. K.; Saigo, M.; Srivastava, G. M. 2 1999 On the Meijer transform in \({\mathcal L}_{\nu, \tau}\)-space. Zbl 0974.44003Kilbas, A. A.; Saigo, M.; Trujillo, J. J. 2 2000 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. 2 2003 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 Systems of nonlinear fractional differential equations in the space of summable functions. Zbl 1054.34009Bonilla, B.; Kilbas, A. A.; Trujillo, J. J. 2 2000 Generalized Hankel transform on \({\mathcal L}_{\nu,\tau}\)-space. Zbl 0963.44005Kilbas, Anatoly A.; Trujillo, Juan J. 2 2000 Asymptotic solution of a nonlinear Abel-Volterra integral equation of second kind. Zbl 0838.45004Gorenflo, Rudolf; Kilbas, Anatoly A. 2 1995 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 \(\mathcal Y_\eta\) and \(\mathcal H_\eta\) transforms in \(\mathcal L_{v,r}\)-spaces. Zbl 1028.44003Kilbas, A. A.; Gromak, E. V. 2 2002 Asymptotic representations for hypergeometric-Bessel type function and fractional integrals. Zbl 1013.33003Kilbas, Anatoly A.; Rodríguez, Luis; Trujillo, Juan J. 2 2002 \(L_{\nu,r}\)-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 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 An extended generalized function Mittag-Leffler type. Zbl 1178.33024Kilbas, A. A.; Koroleva, A. A. 2 2005 Fractional calculus of \({\mathcal P}\)-transforms. Zbl 1228.44009Kumar, Dilip; Kilbas, Anatoly A. 2 2010 Inversion of integral transform with an extended generalized Mittag-Leffler function. Zbl 1201.44007Kilbas, A. A.; Koroleva, A. A. 2 2006 Mittag-Leffler functions, related topics and applications. 2nd extended and updated edition. Zbl 1451.33001Gorenflo, Rudolf; Kilbas, Anatoly A.; Mainardi, Francesco; Rogosin, Sergei V. 27 2020 Mittag-Leffler functions, related topics and applications. Zbl 1309.33001Gorenflo, Rudolf; Kilbas, Anatoly A.; Mainardi, Francesco; Rogosin, Sergei V. 444 2014 Multi-parametric Mittag-Leffler functions and their extension. Zbl 1312.33058Kilbas, Anatoly; Koroleva, Anna; Rogosin, Sergei 20 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. 16 2010 Fractional Fourier transform in the framework of fractional calculus operators. Zbl 1205.42010Kilbas, A. A.; Luchko, Yu. F.; Martínez, H.; Trujillo, J. J. 13 2010 Partial fractional differential equations and some of their applications. Zbl 1210.35276Kilbas, Anatoly A. 13 2010 Fractional integration of the product of Bessel functions of the first kind. Zbl 1211.26005Kilbas, Anatoly A.; Sebastian, Nicy 7 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 The Krätzel function and evaluation of integrals. Zbl 1189.33037Kilbas, Anatoly A.; Rodríguez-Germá, Luis; Saigo, Megumi; Saxena, R. K.; Trujillo, J. J. 5 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 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. 2 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. 2 2009 Orders and types of the Wright and Mittag-Leffler functions. Zbl 1459.30001Kilbas, A. A.; Lipnevich, V. 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 29 2008 Boundary value problems for partial differential equations with discontinuous coefficients. (Краевые задачи для уравнений в частных производных с разрывными коѐффициентами.) Zbl 1147.35003Marichev, O. I.; Kilbas, A. A.; Repin, O. A. 8 2008 Generalized fractional differentiation of Bessel function of the first kind. Zbl 1175.26014Kilbas, Anatoly A.; Sebastian, Nicy 5 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 1188.34002 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. 15 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. 9 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. 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. 5,544 2006 Development of the theory of fractional calculus and its applications in Belarusian State University. Zbl 1138.26300Kilbas, A. A. 190 2006 A Marchaud-Hadamard-type fractional derivative and the inversion of Hadamard-type fractional integrals. Zbl 1206.26007Kilbas, A. A.; Tityura, A. A. 38 2006 The Cauchy problem for the diffusion-wave equation with the Caputo partial derivative. Zbl 1123.35302Voroshilov, A. A.; Kilbas, A. A. 17 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. 7 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. 77 2005 Fractional calculus of the generalized Wright function. Zbl 1144.26008Kilbas, Anatoly A. 33 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. 8 2005 Integral equations. A course of lectures. (Интегральные уравнения. Курс лекций.) Zbl 1152.45001Kilbas, A. A. 4 2005 An extended generalized function Mittag-Leffler type. Zbl 1178.33024Kilbas, A. A.; Koroleva, A. A. 2 2005 New trends on fractional integral and differential equations. Zbl 1208.45001Kilbas, 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 1065.34500 2 2005 Generalized Mittag-Leffler function and generalized fractional calculus operators. Zbl 1047.33011Kilbas, Anatoly A.; Saigo, Megumi; Saxena, R. K. 160 2004 H-transforms. Theory and applications. Zbl 1056.44001Kilbas, Anatoly A.; Saigo, Megumi 97 2004 Cauchy problem for differential equation with Caputo derivative. Zbl 1114.34005Kilbas, Anatoly A.; Marzan, Sergei A. 22 2004 On the solution of fractional evolution equations. Zbl 1059.35030Kilbas, Anatoly A.; Pierantozzi, Teresa; Trujillo, Juan J.; Vazquez, Luis 16 2004 Hadamard-type integrals as \(G\)-transforms. Zbl 1043.26004Kilbas, Anatoly A.; Trujillo, Juan J. 42 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. 18 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. 10 2003 Fractional differential equations: a emergent field in applied and mathematical sciences. Zbl 1053.35038Kilbas, Anatoly A.; Srivastava, Hari M.; Trujillo, Juan J. 6 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 Hadamard-type fractional integrals and derivatives and differential equations of fractional order. Zbl 1247.45007Kilbas, Anatolii Aleksandrovich; Marzan, Sergei A.; Titioura, A. A. 4 2003 Nonlinear differential equations of fractional order in weighted spaces of continuous functions. Zbl 1204.26009Kilbas, A. A.; Marzan, S. A. 4 2003 Hadamard-type integral equations and fractional calculus operators. Zbl 1031.45004Kilbas, Anatoly A. 3 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. 2 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. 124 2002 Fractional calculus in the Mellin setting and Hadamard-type fractional integrals. Zbl 0995.26007Butzer, Paul L.; Kilbas, Anatoly A.; Trujillo, Juan J. 85 2002 Compositions of Hadamard-type fractional integration operators and the semigroup property. Zbl 1027.26004Butzer, Paul L.; Kilbas, Anatoly A.; Trujillo, Juan J. 79 2002 Mellin transform analysis and integration by parts for Hadamard-type fractional integrals. Zbl 1022.26011Butzer, Paul L.; Kilbas, Anatoly A.; Trujillo, Juan J. 75 2002 On the generalized Wright function. Zbl 1027.33015Kilbas, Anatoly A.; Saigo, Megumi; Trujillo, Juan J. 45 2002 Solution of Volterra integrodifferential equations with generalized Mittag-Leffler function in the Kernels. Zbl 1041.45011Kilbas, Anatoly A.; Saigo, Megumi; Saxena, R. K. 28 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 Asymptotic representations for hypergeometric-Bessel type function and fractional integrals. Zbl 1013.33003Kilbas, Anatoly A.; Rodríguez, Luis; Trujillo, Juan J. 2 2002 Generalized Hankel-type integral transform on \(\mathcal L_ {\nu,r}\)-spaces. Zbl 1036.44002Kilbas, Anatoly A.; Schetnikovich, Elena K. 1 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 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 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. 187 2001 Hadamard-type fractional calculus. Zbl 1018.26003Kilbas, Anatoly A. 147 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. 3 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 Existence and uniqueness theorems for nonlinear fractional differential equations. Zbl 0964.34004Kilbas, A. A.; Bonilla, B.; Trujillo, J. J. 21 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. 12 2000 Computation of fractional integrals via functions of hypergeometric and Bessel type. Zbl 0966.65022Kilbas, A. A.; Trujillo, J. J. 8 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 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 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 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 Systems of nonlinear fractional differential equations in the space of summable functions. Zbl 1054.34009Bonilla, B.; Kilbas, A. A.; Trujillo, J. J. 2 2000 Generalized Hankel transform on \({\mathcal L}_{\nu,\tau}\)-space. Zbl 0963.44005Kilbas, Anatoly A.; Trujillo, Juan 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 On the \(H\)-function. Zbl 0934.33018Kilbas, Anatoly A.; Saigo, Megumi 4 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 Solution of multidimensional hypergeometric integral equations of Abel type. Zbl 1039.45502Kilbas, A. A.; Raina, R. K.; Saigo, M.; Srivastava, G. M. 2 1999 On the Hankel-type integral transform in \({\mathcal L}_{\nu,r}\)-spaces. Zbl 1032.44006Kilbas, Anatoly A.; Trujillo, Juan J. 1 1999 On the Lommel-Maitland transform in \(\mathfrak L_{\nu,r}\)-space. Zbl 1032.44007Kilbas, Anatoly A.; Saigo, Megumi; Borovco, Anna 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. 41 1998 On Mittag-Leffler type function and applications. Zbl 0933.26001Saigo, Megumi; Kilbas, Anatoly A. 22 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 A problem with deviating argument for a parabolic-hyperbolic equation. Zbl 1075.35537Kilbas, A. A.; Repin, O. A. 2 1998 Fractional calculus of the \(H\)-function. Zbl 0923.33006Kilbas, Anatoly A.; Saigo, Megumi 2 1998 ...and 33 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 7,813 Authors 313 Băleanu, Dumitru I. 144 Ahmad, Bashir 139 Abdeljawad, Thabet 130 Ntouyas, Sotiris K. 108 Al-saedi, Ahmed Eid Salem 99 Wang, Jinrong 98 Benchohra, Mouffak 80 Nieto Roig, Juan Jose 80 Shah, Kamal 79 Agarwal, Ravi P. 76 Machado, José António Tenreiro 75 Srivastava, Hari Mohan 73 O’Regan, Donal 69 Jarad, Fahd 65 Tarasov, Vasily E. 63 Liu, Fawang 63 Tariboon, Jessada 62 Trujillo, Juan J. 58 Abbas, Said 56 Rezapour, Shahram 55 Sooppy Nisar, Kottakkaran 53 Liu, Lishan 48 Torres, Delfim Fernando Marado 47 Farid, Ghulam 47 Zhou, Yong 43 Agarwal, Praveen 43 Atangana, Abdon 42 Wu, Yonghong 40 Kilbas, Anatoliĭ Aleksandrovich 39 Balachandran, Krishnan 38 Chen, Yangquan 38 Ibrahim, Rabha Waell 38 Turner, Ian William 37 Kirane, Mokhtar 37 Mainardi, Francesco 36 Li, Changpin 35 Cao, Jinde 35 Chu, Yuming 35 Momani, Shaher M. 34 Atanackovic, Teodor M. 34 de Oliveira, Edmundo Capelas 34 Tatar, Nasser-eddine 33 Almeida, Ricardo 33 Etemad, Sina 33 Jafari, Hossein 33 Yang, Xiao-Jun 33 Zhang, Shuqin 32 Abdo, Mohammed Salem 32 Khan, Rahmat Ali 32 Meerschaert, Mark Marvin 32 Rahman, Gauhar 32 Wang, Hong 31 Rashid, Saima 31 Repin, Oleg Aleksandrovich 31 Saxena, Ram Kishore 30 Henderson, Johnny Lee 30 Owolabi, Kolade Matthew 30 Samet, Bessem 29 Alzabut, Jehad O. 29 Jiang, Wei 29 Povstenko, Yuriy Z. 28 Daftardar-Gejji, Varsha 28 Liu, Wenbin 28 Mahmudov, Nazim Idrisoglu 28 Singh, Jagdev 28 Sun, Shurong 28 Wang, Guotao 27 Anh, Vo V. 27 Fečkan, Michal 26 Graef, John R. 26 Khan, Aziz 26 Kiliçman, Adem 26 Noor, Muhammad Aslam 26 Pandey, Dwijendra Narain 26 Xu, Jiafa 25 Han, Zhenlai 25 Pilipović, Stevan 25 Zhou, Zhi 24 Cui, Yujun 24 Jin, Bangti 24 Kumar, Sunil 24 Nguyen Huy Tuan 24 Zada, Akbar 24 Zorica, Dusan 23 Agrawal, Om Prakash 23 Debbouche, Amar 23 Garra, Roberto 23 Khan, Hasib 23 Nyamoradi, Nemat 23 Vanterler da Costa Sousa, José 22 Gorenflo, Rudolf 22 Jia, Mei 22 Kashuri, Artion 22 Luca, Rodica 22 Panchal, Satish Kushaba 21 Bai, Zhanbing 21 Garrappa, Roberto 21 Gómez-Aguilar, José Francisco 21 Kumar, Devendra 21 Liu, Xiping ...and 7,713 more Authors all top 5 Cited in 610 Serials 651 Advances in Difference Equations 382 Fractional Calculus & Applied Analysis 372 Applied Mathematics and Computation 284 Abstract and Applied Analysis 274 Chaos, Solitons and Fractals 269 Computers & Mathematics with Applications 193 Communications in Nonlinear Science and Numerical Simulation 156 Journal of Computational and Applied Mathematics 154 Journal of Function Spaces 144 Nonlinear Dynamics 142 Boundary Value Problems 139 Journal of Mathematical Analysis and Applications 118 AIMS Mathematics 111 Applied Mathematics Letters 107 Journal of Applied Mathematics and Computing 96 Journal of Inequalities and Applications 91 Mathematical Problems in Engineering 86 Computational and Applied Mathematics 79 Advances in Mathematical Physics 78 Journal of Computational Physics 78 Fractals 73 Mediterranean Journal of Mathematics 71 Nonlinear Analysis. 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