Edit Profile (opens in new tab) Kilbas, Anatoliĭ Aleksandrovich (b. 1948 d. 2010) Co-Author Distance Author ID: kilbas.anatolii-aleksandrovich Published as: Kilbas, A. A.; Kilbas, Anatoly A.; Kilbas, Anatoly; Kilbas, Anatolii Aleksandrovich; Kilbas, Anatoly Al more...less External Links: Math-Net.Ru · dblp · GND Documents Indexed: 227 Publications since 1974, including 8 Books 4 Contributions as Editor Reviewing Activity: 162 Reviews Biographic References: 9 Publications Co-Authors: 72 Co-Authors with 197 Joint Publications 2,059 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 Grigor’evich 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, Nikolaĭ Karapetovich 3 Knyazyuk, N. V. 3 Sebastian, Nicy 2 Borovco, Anna 2 Dubatovskaya, Maryna Valer’evna 2 Gaĭshun, Ivan Vasil’evich 2 Kiryakova, Virginia S. 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 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 6 Trudy Instituta Matematiki 5 Differential Equations 5 Soviet Mathematics 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 95 Real functions (26-XX) 83 Special functions (33-XX) 70 Integral equations (45-XX) 67 Integral transforms, operational calculus (44-XX) 40 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 140 Publications have been cited 15,386 times in 11,214 Documents Cited by ▼ Year ▼ Theory and applications of fractional differential equations. Zbl 1092.45003Kilbas, Anatoly A.; Srivastava, Hari M.; Trujillo, Juan J. 7,508 2006 Fractional integrals and derivatives: theory and applications. Transl. from the Russian. Zbl 0818.26003Samko, St. G.; Kilbas, A. A.; Marichev, O. I. 4,361 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. 555 1987 Mittag-Leffler functions, related topics and applications. Zbl 1309.33001Gorenflo, Rudolf; Kilbas, Anatoly A.; Mainardi, Francesco; Rogosin, Sergei V. 554 2014 Differential equations of fractional order: Methods, results and problems. I. Zbl 1031.34002Kilbas, A. A.; Trujillo, J. J. 197 2001 Development of the theory of fractional calculus and its applications in Belarusian State University. Zbl 1138.26300Kilbas, A. A. 190 2006 Generalized Mittag-Leffler function and generalized fractional calculus operators. Zbl 1047.33011Kilbas, Anatoly A.; Saigo, Megumi; Saxena, R. K. 182 2004 Hadamard-type fractional calculus. Zbl 1018.26003Kilbas, Anatoly A. 176 2001 Differential equations of fractional order: Methods, results and problems. II. Zbl 1033.34007Kilbas, A. A.; Trujillo, J. J. 130 2002 H-transforms. Theory and applications. Zbl 1056.44001Kilbas, Anatoly A.; Saigo, Megumi 121 2004 Fractional calculus in the Mellin setting and Hadamard-type fractional integrals. Zbl 0995.26007Butzer, Paul L.; Kilbas, Anatoly A.; Trujillo, Juan J. 103 2002 Compositions of Hadamard-type fractional integration operators and the semigroup property. Zbl 1027.26004Butzer, Paul L.; Kilbas, Anatoly A.; Trujillo, Juan J. 97 2002 Mellin transform analysis and integration by parts for Hadamard-type fractional integrals. Zbl 1022.26011Butzer, Paul L.; Kilbas, Anatoly A.; Trujillo, Juan J. 87 2002 Nonlinear differential equations with the Caputo fractional derivative in the space of continuously differentiable functions. Zbl 1160.34301Kilbas, A. A.; Marzan, S. A. 85 2005 Mittag-Leffler functions, related topics and applications. 2nd extended and updated edition. Zbl 1451.33001Gorenflo, Rudolf; Kilbas, Anatoly A.; Mainardi, Francesco; Rogosin, Sergei V. 76 2020 On the generalized Wright function. Zbl 1027.33015Kilbas, Anatoly A.; Saigo, Megumi; Trujillo, Juan J. 53 2002 On the generalized Mittag-Leffler type functions. Zbl 0935.33012Gorenflo, R.; Kilbas, A. A.; Rogosin, S. V. 44 1998 Hadamard-type integrals as \(G\)-transforms. Zbl 1043.26004Kilbas, Anatoly A.; Trujillo, Juan J. 44 2003 On Mittag-Leffler type function, fractional calculus operators and solutions of integral equations. Zbl 0876.26007Kilbas, Anatoly A.; Saigo, Megumi 42 1996 A Marchaud-Hadamard-type fractional derivative and the inversion of Hadamard-type fractional integrals. Zbl 1206.26007Kilbas, A. A.; Tityura, A. A. 39 2006 Fractional calculus of the generalized Wright function. Zbl 1144.26008Kilbas, Anatoly A. 35 2005 Solution of Volterra integrodifferential equations with generalized Mittag-Leffler function in the Kernels. Zbl 1041.45011Kilbas, Anatoly A.; Saigo, Megumi; Saxena, R. K. 33 2002 On solution of integral equation of Abel-Volterra type. Zbl 0823.45002Kilbas, Anatoly A.; Saigo, Megumi 32 1995 Generalized fractional integration of Bessel function of the first kind. Zbl 1156.26004Kilbas, Anatoly A.; Sebastian, Nicy 31 2008 Cauchy problem for differential equation with Caputo derivative. Zbl 1114.34005Kilbas, Anatoly A.; Marzan, Sergei A. 26 2004 Existence and uniqueness theorems for nonlinear fractional differential equations. Zbl 0964.34004Kilbas, A. A.; Bonilla, B.; Trujillo, J. J. 23 2000 An analog of the Bitsadze-Samarskiĭ problem for a mixed type equation with a fractional derivative. Zbl 1065.35206Kilbas, A. A.; Repin, O. A. 23 2003 On Mittag-Leffler type function and applications. Zbl 0933.26001Saigo, Megumi; Kilbas, Anatoly A. 22 1998 Partial fractional differential equations and some of their applications. Zbl 1210.35276Kilbas, Anatoly A. 21 2010 Multi-parametric Mittag-Leffler functions and their extension. Zbl 1312.33058Kilbas, Anatoly; Koroleva, Anna; Rogosin, Sergei 21 2013 The Cauchy problem for the diffusion-wave equation with the Caputo partial derivative. Zbl 1123.35302Voroshilov, A. A.; Kilbas, A. A. 21 2006 Fractional Fourier transform in the framework of fractional calculus operators. Zbl 1205.42010Kilbas, A. A.; Luchko, Yu. F.; Martínez, H.; Trujillo, J. J. 18 2010 On solution of nonlinear Abel-Volterra integral equation. Zbl 0917.45004Kilbas, Anatoly A.; Saigo, Megumi 18 1999 \(\alpha\)-analytic solutions of some linear fractional differential equations with variable coefficients. Zbl 1121.34008Kilbas, A. A.; Rivero, M.; Rodríguez-Germá, L.; Trujillo, J. J. 18 2007 On the solution of fractional evolution equations. Zbl 1059.35030Kilbas, Anatoly A.; Pierantozzi, Teresa; Trujillo, Juan J.; Vazquez, Luis 18 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. 17 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. 12 2003 A Cauchy-type problem for the diffusion-wave equation with Riemann-Liouville partial derivative. Zbl 1155.35396Voroshilov, A. A.; Kilbas, A. A. 11 2006 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. 10 2008 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. 10 2000 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 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 Computation of fractional integrals via functions of hypergeometric and Bessel type. Zbl 0966.65022Kilbas, A. A.; Trujillo, J. J. 8 2000 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 On generalized Krätzel function. Zbl 1180.33017Kilbas, Anatoly A.; Kumar, Dilip 8 2009 A nonlinear Volterra integral equation with a weak singularity. Zbl 0970.45003Kilbas, A. A. 8 1995 Closed-form solution of a class of linear differential equations of fractional order. Zbl 0910.34001Kilbas, A. A.; Saigo, Megumi 8 1997 Generalized fractional integrals and derivatives in Hölder spaces. Zbl 0917.26006Saigo, M.; Kilbas, 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 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 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. 7 2010 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. 7 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 Fractional differential equations: a emergent field in applied and mathematical sciences. Zbl 1053.35038Kilbas, Anatoly A.; Srivastava, Hari M.; Trujillo, Juan J. 6 2003 The Krätzel function and evaluation of integrals. Zbl 1189.33037Kilbas, Anatoly A.; Rodríguez-Germá, Luis; Saigo, Megumi; Saxena, R. K.; Trujillo, J. J. 6 2010 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 Nonlinear differential equations of fractional order in the space of integrable functions. Zbl 1137.34308Kilbas, A. A.; Bonilla, V.; Trujillo, J. 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 Integral equations. A course of lectures. (Интегральные уравнения. Курс лекций.) Zbl 1152.45001Kilbas, A. A. 5 2005 Generalized fractional differentiation of Bessel function of the first kind. Zbl 1175.26014Kilbas, Anatoly A.; Sebastian, Nicy 5 2008 On the \(H\)-function. Zbl 0934.33018Kilbas, Anatoly A.; Saigo, Megumi 5 1999 Integral transform with the extended generalized Mittag-Leffler function. Zbl 1110.44001Kilbas, A. A.; Koroleva, A. A. 5 2006 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. 5 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. 4 2003 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 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 The solution of a class of linear differential equations via functions of Mittag-Leffler type. Zbl 0982.34002Saigo, M.; Kilbas, A. A. 4 2000 Bessel-type integral transforms on \({\mathcal L}_{\nu,r}\)-spaces. Zbl 0969.44003Glaeske, Hans-Jürgen; Kilbas, Anatoly A. 4 1998 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 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. 4 2007 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. 4 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 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. 3 2009 Systems of nonlinear fractional differential equations in the space of summable functions. Zbl 1054.34009Bonilla, B.; Kilbas, A. A.; Trujillo, J. J. 3 2000 Fractional calculus of \({\mathcal P}\)-transforms. Zbl 1228.44009Kumar, Dilip; Kilbas, Anatoly A. 3 2010 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 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 asymptotic solutions of nonlinear Abel-Volterra integral equations with quasipolynomial free term. Zbl 0858.45007Kilbas, Anatoly A.; Saigo, Megumi; Gorenflo, Rudolf 3 1995 A problem with deviating argument for a parabolic-hyperbolic equation. Zbl 1075.35537Kilbas, A. A.; Repin, O. A. 3 1998 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 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 Generalized Hankel transform on \({\mathcal L}_{\nu,\tau}\)-space. Zbl 0963.44005Kilbas, Anatoly A.; Trujillo, Juan J. 2 2000 New trends on fractional integral and differential equations. Zbl 1208.45001Kilbas, A. A. 2 2005 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 An extended generalized function Mittag-Leffler type. Zbl 1178.33024Kilbas, A. A.; Koroleva, A. A. 2 2005 Euler-type non-homogeneous differential equations with three Liouville fractional derivatives. Zbl 1204.34009Kilbas, Anatoly A.; Zhukovskaya, Natalia V. 2 2009 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 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. 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 Fractional calculus of the \(H\)-function. Zbl 0923.33006Kilbas, Anatoly A.; Saigo, Megumi 2 1998 On the Meijer transform in \({\mathcal L}_{\nu, \tau}\)-space. Zbl 0974.44003Kilbas, A. A.; Saigo, M.; Trujillo, J. J. 2 2000 \(\mathcal Y_\eta\) 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 Mittag-Leffler functions, related topics and applications. 2nd extended and updated edition. Zbl 1451.33001Gorenflo, Rudolf; Kilbas, Anatoly A.; Mainardi, Francesco; Rogosin, Sergei V. 76 2020 The generalized hypergeometric function as the Meijer \(G\)-function. Zbl 1336.33017Kilbas, Anatoly A.; Saxena, Ram K.; Saigo, Megumi; Trujillo, Juan J. 1 2016 Mittag-Leffler functions, related topics and applications. Zbl 1309.33001Gorenflo, Rudolf; Kilbas, Anatoly A.; Mainardi, Francesco; Rogosin, Sergei V. 554 2014 Multi-parametric Mittag-Leffler functions and their extension. Zbl 1312.33058Kilbas, Anatoly; Koroleva, Anna; Rogosin, Sergei 21 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. 2 2011 Partial fractional differential equations and some of their applications. Zbl 1210.35276Kilbas, Anatoly A. 21 2010 Fractional Fourier transform in the framework of fractional calculus operators. Zbl 1205.42010Kilbas, A. A.; Luchko, Yu. F.; Martínez, H.; Trujillo, J. J. 18 2010 An analog of the Tricomi problem for a mixed type equation with a partial fractional derivative. Zbl 1201.35148Kilbas, Anatoly A.; Repin, Oleg A. 17 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. 7 2010 The Krätzel function and evaluation of integrals. Zbl 1189.33037Kilbas, Anatoly A.; Rodríguez-Germá, Luis; Saigo, Megumi; Saxena, R. K.; Trujillo, J. J. 6 2010 Fractional calculus of \({\mathcal P}\)-transforms. Zbl 1228.44009Kumar, Dilip; Kilbas, Anatoly A. 3 2010 On generalized Krätzel function. Zbl 1180.33017Kilbas, Anatoly A.; Kumar, Dilip 8 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. 3 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 Euler-type non-homogeneous differential equations with three Liouville fractional derivatives. Zbl 1204.34009Kilbas, Anatoly A.; Zhukovskaya, Natalia V. 2 2009 Orders and types of the Wright and Mittag-Leffler functions. Zbl 1459.30001Kilbas, A. A.; Lipnevich, V. V. 1 2009 Generalized fractional integration of Bessel function of the first kind. Zbl 1156.26004Kilbas, Anatoly A.; Sebastian, Nicy 31 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. 10 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. 18 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. 8 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. 4 2007 Modified fractional integrals and derivatives in the half-axis and differential equations of fractional order in the space of integrable functions. Zbl 1497.26006Kilbas, A. A.; Knyazyuk, N. V. 1 2007 Theory and applications of fractional differential equations. Zbl 1092.45003Kilbas, Anatoly A.; Srivastava, Hari M.; Trujillo, Juan J. 7,508 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. 39 2006 The Cauchy problem for the diffusion-wave equation with the Caputo partial derivative. Zbl 1123.35302Voroshilov, A. A.; Kilbas, A. A. 21 2006 A Cauchy-type problem for the diffusion-wave equation with Riemann-Liouville partial derivative. Zbl 1155.35396Voroshilov, A. A.; Kilbas, A. A. 11 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. 5 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. 85 2005 Fractional calculus of the generalized Wright function. Zbl 1144.26008Kilbas, Anatoly A. 35 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. 5 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 1065.34500 2 2005 Generalized Mittag-Leffler function and generalized fractional calculus operators. Zbl 1047.33011Kilbas, Anatoly A.; Saigo, Megumi; Saxena, R. K. 182 2004 H-transforms. Theory and applications. Zbl 1056.44001Kilbas, Anatoly A.; Saigo, Megumi 121 2004 Cauchy problem for differential equation with Caputo derivative. Zbl 1114.34005Kilbas, Anatoly A.; Marzan, Sergei A. 26 2004 On the solution of fractional evolution equations. Zbl 1059.35030Kilbas, Anatoly A.; Pierantozzi, Teresa; Trujillo, Juan J.; Vazquez, Luis 18 2004 Hadamard-type integrals as \(G\)-transforms. Zbl 1043.26004Kilbas, Anatoly A.; Trujillo, Juan J. 44 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. 23 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. 12 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. 5 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. 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 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. 4 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. 130 2002 Fractional calculus in the Mellin setting and Hadamard-type fractional integrals. Zbl 0995.26007Butzer, Paul L.; Kilbas, Anatoly A.; Trujillo, Juan J. 103 2002 Compositions of Hadamard-type fractional integration operators and the semigroup property. Zbl 1027.26004Butzer, Paul L.; Kilbas, Anatoly A.; Trujillo, Juan J. 97 2002 Mellin transform analysis and integration by parts for Hadamard-type fractional integrals. Zbl 1022.26011Butzer, Paul L.; Kilbas, Anatoly A.; Trujillo, Juan J. 87 2002 On the generalized Wright function. Zbl 1027.33015Kilbas, Anatoly A.; Saigo, Megumi; Trujillo, Juan J. 53 2002 Solution of Volterra integrodifferential equations with generalized Mittag-Leffler function in the Kernels. Zbl 1041.45011Kilbas, Anatoly A.; Saigo, Megumi; Saxena, R. K. 33 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 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 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 Differential equations of fractional order: Methods, results and problems. I. Zbl 1031.34002Kilbas, A. A.; Trujillo, J. J. 197 2001 Hadamard-type fractional calculus. Zbl 1018.26003Kilbas, Anatoly A. 176 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 Professor Eric Russell Love (1912–2001). A note in memoriam. Zbl 1029.01518Kilbas, Anatoly A.; Samko, Stefan G. 1 2001 Existence and uniqueness theorems for nonlinear fractional differential equations. Zbl 0964.34004Kilbas, A. A.; Bonilla, B.; Trujillo, J. J. 23 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 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. 10 2000 Computation of fractional integrals via functions of hypergeometric and Bessel type. Zbl 0966.65022Kilbas, A. A.; Trujillo, J. J. 8 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. 7 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 Nonlinear differential equations of fractional order in the space of integrable functions. Zbl 1137.34308Kilbas, A. A.; Bonilla, V.; Trujillo, J. 6 2000 The solution of a class of linear differential equations via functions of Mittag-Leffler type. Zbl 0982.34002Saigo, M.; Kilbas, A. A. 4 2000 Systems of nonlinear fractional differential equations in the space of summable functions. Zbl 1054.34009Bonilla, B.; Kilbas, A. A.; Trujillo, J. J. 3 2000 Generalized Hankel transform on \({\mathcal L}_{\nu,\tau}\)-space. Zbl 0963.44005Kilbas, Anatoly A.; Trujillo, Juan J. 2 2000 On the Meijer transform in \({\mathcal L}_{\nu, \tau}\)-space. Zbl 0974.44003Kilbas, A. A.; Saigo, M.; Trujillo, J. J. 2 2000 On the generalized Hardy-Titchmarsh transform in \({\mathfrak L}_{\nu,r}\)-space. Zbl 0958.44006Kilbas, Anatoly A.; Saigo, Megumi; Borovco, Anna 1 2000 Hardy-Titchmarsh and Hankel type transforms in \({\mathcal L}_{\nu,\tau}\)-spaces. Zbl 0976.44010Kilbas, A. A.; Borovco, A. N. 1 2000 The generalized Hardy-Titchmarsh transform in the space of summable functions. Zbl 1045.44002Kilbas, A. A.; Saigo, M.; Borovko, A. N. 1 2000 On solution of nonlinear Abel-Volterra integral equation. Zbl 0917.45004Kilbas, Anatoly A.; Saigo, Megumi 18 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 5 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 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 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 A modified transform of Bessel type and its compositions with operators of fractional integration and differentiation. Zbl 1039.44501Kilbas, A. A.; Saigo, M.; Glaeske, H.-J. 1 1999 On the generalized Mittag-Leffler type functions. Zbl 0935.33012Gorenflo, R.; Kilbas, A. A.; Rogosin, S. V. 44 1998 On Mittag-Leffler type function and applications. Zbl 0933.26001Saigo, Megumi; Kilbas, Anatoly A. 22 1998 ...and 40 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 9,436 Authors 346 Băleanu, Dumitru I. 191 Abdeljawad, Thabet 187 Ahmad, Bashir 150 Ntouyas, Sotiris K. 128 Al-saedi, Ahmed Eid Salem 120 Benchohra, Mouffak 115 Zhou, Yong 111 Wang, Jinrong 108 Shah, Kamal 104 Nieto Roig, Juan Jose 96 Agarwal, Ravi P. 95 Rezapour, Shahram 95 Sooppy Nisar, Kottakkaran 91 Srivastava, Hari Mohan 90 Jarad, Fahd 90 Machado, José António Tenreiro 79 O’Regan, Donal 71 Tariboon, Jessada 70 Tarasov, Vasily E. 69 Trujillo, Juan J. 66 Abbas, Said 65 Liu, Fawang 61 Farid, Ghulam 57 Agarwal, Praveen 55 Abdo, Mohammed Salem 55 Etemad, Sina 55 Liu, Lishan 52 Cao, Jinde 52 Torres, Delfim Fernando Marado 50 Atangana, Abdon 48 Alzabut, Jehad O. 45 Balachandran, Krishnan 45 Chu, Yuming 45 Kirane, Mokhtar 45 Li, Changpin 44 Wu, Yonghong 43 Turner, Ian William 42 Ibrahim, Rabha Waell 42 Mainardi, Francesco 42 Samet, Bessem 42 Zada, Akbar 41 de Oliveira, Edmundo Capelas 41 Kilbas, Anatoliĭ Aleksandrovich 40 Almeida, Ricardo 40 Owolabi, Kolade Matthew 40 Rahman, Gauhar 39 Chen, Yangquan 38 Rashid, Saima 37 Jafari, Hossein 37 Kumar, Devendra 37 Momani, Shaher M. 37 Tatar, Nasser-eddine 37 Yang, Xiao-Jun 36 Atanackovic, Teodor M. 36 Khan, Aziz 36 Mahmudov, Nazim Idrisoglu 36 Wang, Guotao 35 Jiang, Wei 35 Panchal, Satish Kushaba 35 Vanterler da Costa Sousa, José 35 Zhang, Shuqin 34 Khan, Rahmat Ali 34 Saxena, Ram Kishore 34 Wang, Hong 33 Meerschaert, Mark Marvin 33 Nguyen Huy Tuan 32 Fečkan, Michal 32 Henderson, Johnny Lee 32 Repin, Oleg Aleksandrovich 31 Fernandez, Arran 31 Jleli, Mohamed Boussairi 31 Liu, Wenbin 31 Noor, Muhammad Aslam 31 Povstenko, Yuriy Z. 31 Sarikaya, Mehmet Zeki 31 Sun, Shurong 31 Vijayakumar, Velusamy 30 Anh, Vo V. 30 Budak, Hüseyin 30 Gómez-Aguilar, José Francisco 30 Singh, Jagdev 29 Daftardar-Gejji, Varsha 29 Khan, Hasib 29 Kiliçman, Adem 29 Kumar, Sunil 29 Samei, Mohammad Esmael 29 Wei, Ting 29 Zorica, Dusan 28 Garra, Roberto 28 Garrappa, Roberto 28 Liu, Yuji 28 Liu, Zhenhai 28 Nyamoradi, Nemat 28 Pandey, Dwijendra Narain 28 Xu, Jiafa 28 Zhou, Zhi 27 Ardjouni, Abdelouaheb 27 Graef, John R. 27 Jia, Mei 27 Pilipović, Stevan ...and 9,336 more Authors all top 5 Cited in 656 Serials 759 Advances in Difference Equations 502 Fractional Calculus & Applied Analysis 403 Applied Mathematics and Computation 338 Chaos, Solitons and Fractals 312 Computers & Mathematics with Applications 289 Abstract and Applied Analysis 246 Communications in Nonlinear Science and Numerical Simulation 200 Journal of Function Spaces 195 Journal of Computational and Applied Mathematics 194 Boundary Value Problems 155 AIMS Mathematics 153 Journal of Mathematical Analysis and Applications 152 Nonlinear Dynamics 134 Computational and Applied Mathematics 134 Fractals 129 Applied Mathematics Letters 123 Journal of Applied Mathematics and Computing 112 Mathematical Problems in Engineering 111 Journal of Inequalities and Applications 110 Filomat 95 Physica A 86 Advances in Mathematical Physics 83 Applied Numerical Mathematics 82 International Journal of Applied and Computational Mathematics 80 Journal of Computational Physics 80 Mathematics and Computers in Simulation 79 Mediterranean Journal of Mathematics 78 Nonlinear Analysis. 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