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Kilbas, Anatoliĭ Aleksandrovich

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Author ID: kilbas.anatolii-aleksandrovich Recent zbMATH articles by "Kilbas, Anatoliĭ Aleksandrovich"
Published as: Kilbas, A. A.; Kilbas, Anatoly A.; Kilbas, Anatoly; Kilbas, Anatolii Aleksandrovich; Kilbas, Anatoly Al
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

Publications by Year

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 1092.45003
Kilbas, Anatoly A.; Srivastava, Hari M.; Trujillo, Juan J.
2006
Fractional integrals and derivatives: theory and applications. Transl. from the Russian. Zbl 0818.26003
Samko, St. G.; Kilbas, A. A.; Marichev, O. I.
1993
Integrals and derivatives of fractional order and some of their applications. (Интегралы и производные дробного порядка и некоторые их приложения.) Zbl 0617.26004
Samko, S. G.; Kilbas, A. A.; Marichev, O. I.
476
1987
Mittag-Leffler functions, related topics and applications. Zbl 1309.33001
Gorenflo, 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 1138.26300
Kilbas, A. A.
190
2006
Differential equations of fractional order: Methods, results and problems. I. Zbl 1031.34002
Kilbas, A. A.; Trujillo, J. J.
187
2001
Generalized Mittag-Leffler function and generalized fractional calculus operators. Zbl 1047.33011
Kilbas, Anatoly A.; Saigo, Megumi; Saxena, R. K.
160
2004
Hadamard-type fractional calculus. Zbl 1018.26003
Kilbas, Anatoly A.
147
2001
Differential equations of fractional order: Methods, results and problems. II. Zbl 1033.34007
Kilbas, A. A.; Trujillo, J. J.
124
2002
H-transforms. Theory and applications. Zbl 1056.44001
Kilbas, Anatoly A.; Saigo, Megumi
97
2004
Fractional calculus in the Mellin setting and Hadamard-type fractional integrals. Zbl 0995.26007
Butzer, Paul L.; Kilbas, Anatoly A.; Trujillo, Juan J.
85
2002
Compositions of Hadamard-type fractional integration operators and the semigroup property. Zbl 1027.26004
Butzer, 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 1160.34301
Kilbas, A. A.; Marzan, S. A.
77
2005
Mellin transform analysis and integration by parts for Hadamard-type fractional integrals. Zbl 1022.26011
Butzer, Paul L.; Kilbas, Anatoly A.; Trujillo, Juan J.
75
2002
On the generalized Wright function. Zbl 1027.33015
Kilbas, Anatoly A.; Saigo, Megumi; Trujillo, Juan J.
45
2002
Hadamard-type integrals as \(G\)-transforms. Zbl 1043.26004
Kilbas, Anatoly A.; Trujillo, Juan J.
42
2003
On the generalized Mittag-Leffler type functions. Zbl 0935.33012
Gorenflo, R.; Kilbas, A. A.; Rogosin, S. V.
41
1998
On Mittag-Leffler type function, fractional calculus operators and solutions of integral equations. Zbl 0876.26007
Kilbas, Anatoly A.; Saigo, Megumi
39
1996
A Marchaud-Hadamard-type fractional derivative and the inversion of Hadamard-type fractional integrals. Zbl 1206.26007
Kilbas, A. A.; Tityura, A. A.
38
2006
Fractional calculus of the generalized Wright function. Zbl 1144.26008
Kilbas, Anatoly A.
33
2005
Generalized fractional integration of Bessel function of the first kind. Zbl 1156.26004
Kilbas, Anatoly A.; Sebastian, Nicy
29
2008
Solution of Volterra integrodifferential equations with generalized Mittag-Leffler function in the Kernels. Zbl 1041.45011
Kilbas, Anatoly A.; Saigo, Megumi; Saxena, R. K.
28
2002
Mittag-Leffler functions, related topics and applications. 2nd extended and updated edition. Zbl 1451.33001
Gorenflo, Rudolf; Kilbas, Anatoly A.; Mainardi, Francesco; Rogosin, Sergei V.
27
2020
On solution of integral equation of Abel-Volterra type. Zbl 0823.45002
Kilbas, Anatoly A.; Saigo, Megumi
27
1995
On Mittag-Leffler type function and applications. Zbl 0933.26001
Saigo, Megumi; Kilbas, Anatoly A.
22
1998
Cauchy problem for differential equation with Caputo derivative. Zbl 1114.34005
Kilbas, Anatoly A.; Marzan, Sergei A.
22
2004
Existence and uniqueness theorems for nonlinear fractional differential equations. Zbl 0964.34004
Kilbas, A. A.; Bonilla, B.; Trujillo, J. J.
21
2000
Multi-parametric Mittag-Leffler functions and their extension. Zbl 1312.33058
Kilbas, Anatoly; Koroleva, Anna; Rogosin, Sergei
20
2013
An analog of the Bitsadze-Samarskiĭ problem for a mixed type equation with a fractional derivative. Zbl 1065.35206
Kilbas, A. A.; Repin, O. A.
18
2003
The Cauchy problem for the diffusion-wave equation with the Caputo partial derivative. Zbl 1123.35302
Voroshilov, A. A.; Kilbas, A. A.
17
2006
On solution of nonlinear Abel-Volterra integral equation. Zbl 0917.45004
Kilbas, Anatoly A.; Saigo, Megumi
16
1999
On the solution of fractional evolution equations. Zbl 1059.35030
Kilbas, 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 1201.35148
Kilbas, Anatoly A.; Repin, Oleg A.
16
2010
\(\alpha\)-analytic solutions of some linear fractional differential equations with variable coefficients. Zbl 1121.34008
Kilbas, A. A.; Rivero, M.; Rodríguez-Germá, L.; Trujillo, J. J.
15
2007
Fractional Fourier transform in the framework of fractional calculus operators. Zbl 1205.42010
Kilbas, A. A.; Luchko, Yu. F.; Martínez, H.; Trujillo, J. J.
13
2010
Partial fractional differential equations and some of their applications. Zbl 1210.35276
Kilbas, Anatoly A.
13
2010
Upper and lower bounds for solutions of nonlinear Volterra convolution integral equations with power nonlinearity. Zbl 0982.45003
Karapetyants, 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 1086.11014
Butzer, 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 1155.35396
Voroshilov, A. A.; Kilbas, A. A.
10
2006
Integral transforms with Fox’s \(\mathbb{H}\)-function in spaces of summable functions. Zbl 0824.44004
Kilbas, 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 1132.26314
Kilbas, A. A.; Titioura, A. A.
9
2007
Generalized fractional integrals and derivatives in Hölder spaces. Zbl 0917.26006
Saigo, 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 1147.35003
Marichev, O. I.; Kilbas, A. A.; Repin, O. A.
8
2008
Computation of fractional integrals via functions of hypergeometric and Bessel type. Zbl 0966.65022
Kilbas, A. A.; Trujillo, J. J.
8
2000
A nonlinear Volterra integral equation with a weak singularity. Zbl 0970.45003
Kilbas, A. A.
8
1995
Cauchy-type problem for diffusion-wave equation with the Riemann-Liouville partial derivative. Zbl 1128.35007
Kilbas, 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 1177.26011
Kilbas, A. A.; Bonilla, B.; Trujillo, Juan J.
8
2000
Krätzel functions as a function of hypergeometric type. Zbl 1128.33012
Kilbas, Anatoly A.; Saxena, R. K.; Trujillo, Juan J.
7
2006
Fractional integration of the product of Bessel functions of the first kind. Zbl 1211.26005
Kilbas, 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 1196.35069
Voroshilov, A. A.; Kilbas, A. A.
7
2007
On inversion of \(H\)-transform in \({\mathfrak L}_{v,r}\)-space. Zbl 0912.33005
Shlapakov, Sergei A.; Saigo, Megumi; Kilbas, Anatoly A.
6
1998
Generalized fractional calculus of the \(H\)-function. Zbl 0942.33008
Saigo, Megumi; Kilbas, Anatoly A.
6
1999
Fractional differential equations: a emergent field in applied and mathematical sciences. Zbl 1053.35038
Kilbas, Anatoly A.; Srivastava, Hari M.; Trujillo, Juan J.
6
2003
Nonlinear differential equations of fractional order in the space of integrable functions. Zbl 1137.34308
Kilbas, 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 0958.44004
Glaeske, H.-J.; Kilbas, Anatoly A.; Saigo, Megumi
6
2000
On the solution of nonlinear Volterra convolution equation with power nonlinearity. Zbl 0874.45002
Karapetyants, 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 1213.35318
Kilbas, A. A.; Repin, O. A.
6
2010
On generalized Krätzel function. Zbl 1180.33017
Kilbas, Anatoly A.; Kumar, Dilip
6
2009
Modified Bessel-type function and solution of differential and integral equations. Zbl 1122.33300
Bonilla, B.; Kilbas, A. A.; Rivero, M.; Rodriguez, L.; Trujillo, J. J.
5
2000
Generalized fractional differentiation of Bessel function of the first kind. Zbl 1175.26014
Kilbas, Anatoly A.; Sebastian, Nicy
5
2008
The Krätzel function and evaluation of integrals. Zbl 1189.33037
Kilbas, 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 0910.34001
Kilbas, A. A.; Saigo, Megumi
5
1997
Bessel-type integral transforms on \({\mathcal L}_{\nu,r}\)-spaces. Zbl 0969.44003
Glaeske, 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 0932.26003
Saigo, Megumi; Raina, R. K.; Kilbas, A. A.
4
1993
On the \(H\)-function. Zbl 0934.33018
Kilbas, Anatoly A.; Saigo, Megumi
4
1999
Generalized Stirling functions of second kind and representations of fractional order differences via derivatives. Zbl 1096.11500
Butzer, Paul L.; Kilbas, Anatoly A.; Trujillo, Juan J.
4
2003
Integral equations. A course of lectures. (Интегральные уравнения. Курс лекций.) Zbl 1152.45001
Kilbas, A. A.
4
2005
Bessel-type functions and Bessel-type integral transforms on spaces \({\mathcal F}_{p,\mu}\) and \({\mathcal F}_{p,\mu}'\). Zbl 0937.33004
Bonilla, B.; Rivero, M.; Rodríguez, J.; Trujillo, J.; Kilbas, A. A.
4
1999
Integral transform with the extended generalized Mittag-Leffler function. Zbl 1110.44001
Kilbas, A. A.; Koroleva, A. A.
4
2006
Hadamard-type fractional integrals and derivatives and differential equations of fractional order. Zbl 1247.45007
Kilbas, Anatolii Aleksandrovich; Marzan, Sergei A.; Titioura, A. A.
4
2003
Nonlinear differential equations of fractional order in weighted spaces of continuous functions. Zbl 1204.26009
Kilbas, A. A.; Marzan, S. A.
4
2003
Integral transforms with Fox’s \(H\)-function in \({\mathfrak L}_{\nu,r}\)-spaces. II. Zbl 0918.44003
Kilbas, 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 0982.34002
Saigo, M.; Kilbas, A. A.
3
2000
Hadamard-type integral equations and fractional calculus operators. Zbl 1031.45004
Kilbas, 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 0824.47025
Kilbas, A. A.; Shlapakov, S. A.
3
1994
On asymptotic solutions of nonlinear Abel-Volterra integral equations with quasipolynomial free term. Zbl 0858.45007
Kilbas, 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 0989.45003
Raina, 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 0791.44005
Kilbas, A. A.; Shlapakov, S. A.
3
1993
Stirling functions of first kind in the setting of fractional calculus and generalized differences. Zbl 1135.33010
Butzer, P. L.; Kilbas, A. A.; Rodríguez-Germá, L.; Trujillo, J. J.
3
2007
A problem with deviating argument for a parabolic-hyperbolic equation. Zbl 1075.35537
Kilbas, A. A.; Repin, O. A.
2
1998
Integral transforms with Fox’s \(H\)-function in \({\mathfrak L}_{\nu,r}\)-spaces. Zbl 0915.44005
Kilbas, Anatoly A.; Saigo, Megumi; Shlapakov, Sergei A.
2
1993
Fractional calculus of the \(H\)-function. Zbl 0923.33006
Kilbas, Anatoly A.; Saigo, Megumi
2
1998
On asymptotic solutions of nonlinear and linear Abel-Volterra integral equations. Zbl 0853.45004
Kilbas, Anatoly A.; Saigo, Megumi
2
1994
On asymptotic solutions of nonlinear and linear Abel-Volterra integral equations. II. Zbl 0853.45005
Saigo, Megumi; Kilbas, Anatoly A.
2
1994
Modified Bessel-type integral transform in \({\mathcal L}_{\nu,r}\)-space. Zbl 1058.44500
Bonilla, B.; Kilbas, A. A.; Rivero, M.; Rodríguez, L.; Trujillo, J. J.
2
1998
Solution of multidimensional hypergeometric integral equations of Abel type. Zbl 1039.45502
Kilbas, A. A.; Raina, R. K.; Saigo, M.; Srivastava, G. M.
2
1999
On the Meijer transform in \({\mathcal L}_{\nu, \tau}\)-space. Zbl 0974.44003
Kilbas, 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 1085.34002
Kilbas, 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 0940.44003
Kilbas, A. A.; Bonilla, B.; Rivero, M.; Rodriguez, J.
2
1998
Systems of nonlinear fractional differential equations in the space of summable functions. Zbl 1054.34009
Bonilla, B.; Kilbas, A. A.; Trujillo, J. J.
2
2000
Generalized Hankel transform on \({\mathcal L}_{\nu,\tau}\)-space. Zbl 0963.44005
Kilbas, Anatoly A.; Trujillo, Juan J.
2
2000
Asymptotic solution of a nonlinear Abel-Volterra integral equation of second kind. Zbl 0838.45004
Gorenflo, Rudolf; Kilbas, Anatoly A.
2
1995
Integral transforms with \(H\)-function kernels on \({\mathfrak L}_{\nu,r}\)-spaces. Zbl 1020.44003
Glaeske, 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 1028.44003
Kilbas, A. A.; Gromak, E. V.
2
2002
Asymptotic representations for hypergeometric-Bessel type function and fractional integrals. Zbl 1013.33003
Kilbas, Anatoly A.; Rodríguez, Luis; Trujillo, Juan J.
2
2002
\(L_{\nu,r}\)-theory of integral transformations with the \(H\)-function in the kernel. Zbl 1161.44304
Glaeske, 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 1173.35306
Voroshilov, A. A.; Kilbas, A. A.
2
2008
An extended generalized function Mittag-Leffler type. Zbl 1178.33024
Kilbas, A. A.; Koroleva, A. A.
2
2005
Fractional calculus of \({\mathcal P}\)-transforms. Zbl 1228.44009
Kumar, Dilip; Kilbas, Anatoly A.
2
2010
Inversion of integral transform with an extended generalized Mittag-Leffler function. Zbl 1201.44007
Kilbas, A. A.; Koroleva, A. A.
2
2006
Mittag-Leffler functions, related topics and applications. 2nd extended and updated edition. Zbl 1451.33001
Gorenflo, Rudolf; Kilbas, Anatoly A.; Mainardi, Francesco; Rogosin, Sergei V.
27
2020
Mittag-Leffler functions, related topics and applications. Zbl 1309.33001
Gorenflo, Rudolf; Kilbas, Anatoly A.; Mainardi, Francesco; Rogosin, Sergei V.
444
2014
Multi-parametric Mittag-Leffler functions and their extension. Zbl 1312.33058
Kilbas, Anatoly; Koroleva, Anna; Rogosin, Sergei
20
2013
Series representations and asymptotic expansions of extended generalized hypergeometric function. Zbl 1298.33022
Kilbas, Anatoly A.; Saxena, R. K.; Saigo, Megumi; Trujillo, Juan J.
1
2012
Solving homogeneous fractional differential equations of Euler type. Zbl 1247.34012
Zhukovskaya, N. V.; Kilbas, A. A.
1
2011
An analog of the Tricomi problem for a mixed type equation with a partial fractional derivative. Zbl 1201.35148
Kilbas, Anatoly A.; Repin, Oleg A.
16
2010
Fractional Fourier transform in the framework of fractional calculus operators. Zbl 1205.42010
Kilbas, A. A.; Luchko, Yu. F.; Martínez, H.; Trujillo, J. J.
13
2010
Partial fractional differential equations and some of their applications. Zbl 1210.35276
Kilbas, Anatoly A.
13
2010
Fractional integration of the product of Bessel functions of the first kind. Zbl 1211.26005
Kilbas, 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 1213.35318
Kilbas, A. A.; Repin, O. A.
6
2010
The Krätzel function and evaluation of integrals. Zbl 1189.33037
Kilbas, Anatoly A.; Rodríguez-Germá, Luis; Saigo, Megumi; Saxena, R. K.; Trujillo, J. J.
5
2010
Fractional calculus of \({\mathcal P}\)-transforms. Zbl 1228.44009
Kumar, Dilip; Kilbas, Anatoly A.
2
2010
On generalized Krätzel function. Zbl 1180.33017
Kilbas, 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 1181.44004
Kilbas, 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 1180.45003
Kilbas, A. A.; Skoromnik, O. V.
2
2009
Orders and types of the Wright and Mittag-Leffler functions. Zbl 1459.30001
Kilbas, A. A.; Lipnevich, V. V.
1
2009
Euler-type non-homogeneous differential equations with three Liouville fractional derivatives. Zbl 1204.34009
Kilbas, Anatoly A.; Zhukovskaya, Natalia V.
1
2009
Generalized fractional integration of Bessel function of the first kind. Zbl 1156.26004
Kilbas, 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 1147.35003
Marichev, O. I.; Kilbas, A. A.; Repin, O. A.
8
2008
Generalized fractional differentiation of Bessel function of the first kind. Zbl 1175.26014
Kilbas, 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 1173.35306
Voroshilov, 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 1121.34008
Kilbas, 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 1132.26314
Kilbas, 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 1196.35069
Voroshilov, A. A.; Kilbas, A. A.
7
2007
Stirling functions of first kind in the setting of fractional calculus and generalized differences. Zbl 1135.33010
Butzer, P. L.; Kilbas, A. A.; Rodríguez-Germá, L.; Trujillo, J. J.
3
2007
Theory and applications of fractional differential equations. Zbl 1092.45003
Kilbas, Anatoly A.; Srivastava, Hari M.; Trujillo, Juan J.
2006
Development of the theory of fractional calculus and its applications in Belarusian State University. Zbl 1138.26300
Kilbas, A. A.
190
2006
A Marchaud-Hadamard-type fractional derivative and the inversion of Hadamard-type fractional integrals. Zbl 1206.26007
Kilbas, A. A.; Tityura, A. A.
38
2006
The Cauchy problem for the diffusion-wave equation with the Caputo partial derivative. Zbl 1123.35302
Voroshilov, A. A.; Kilbas, A. A.
17
2006
A Cauchy-type problem for the diffusion-wave equation with Riemann-Liouville partial derivative. Zbl 1155.35396
Voroshilov, A. A.; Kilbas, A. A.
10
2006
Krätzel functions as a function of hypergeometric type. Zbl 1128.33012
Kilbas, Anatoly A.; Saxena, R. K.; Trujillo, Juan J.
7
2006
Integral transform with the extended generalized Mittag-Leffler function. Zbl 1110.44001
Kilbas, A. A.; Koroleva, A. A.
4
2006
Inversion of integral transform with an extended generalized Mittag-Leffler function. Zbl 1201.44007
Kilbas, A. A.; Koroleva, A. A.
2
2006
Extended generalized Mittag-Leffler functions as \(H\)-functions, generalized Wright functions, and their differentiation formulas. Zbl 1147.44002
Kilbas, A. A.; Koroleva, A. A.
1
2006
Nonlinear differential equations with the Caputo fractional derivative in the space of continuously differentiable functions. Zbl 1160.34301
Kilbas, A. A.; Marzan, S. A.
77
2005
Fractional calculus of the generalized Wright function. Zbl 1144.26008
Kilbas, Anatoly A.
33
2005
Cauchy-type problem for diffusion-wave equation with the Riemann-Liouville partial derivative. Zbl 1128.35007
Kilbas, Anatoly A.; Trujillo, Juan J.; Voroshilov, Aleksandr A.
8
2005
Integral equations. A course of lectures. (Интегральные уравнения. Курс лекций.) Zbl 1152.45001
Kilbas, A. A.
4
2005
An extended generalized function Mittag-Leffler type. Zbl 1178.33024
Kilbas, A. A.; Koroleva, A. A.
2
2005
New trends on fractional integral and differential equations. Zbl 1208.45001
Kilbas, 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 1047.33011
Kilbas, Anatoly A.; Saigo, Megumi; Saxena, R. K.
160
2004
H-transforms. Theory and applications. Zbl 1056.44001
Kilbas, Anatoly A.; Saigo, Megumi
97
2004
Cauchy problem for differential equation with Caputo derivative. Zbl 1114.34005
Kilbas, Anatoly A.; Marzan, Sergei A.
22
2004
On the solution of fractional evolution equations. Zbl 1059.35030
Kilbas, Anatoly A.; Pierantozzi, Teresa; Trujillo, Juan J.; Vazquez, Luis
16
2004
Hadamard-type integrals as \(G\)-transforms. Zbl 1043.26004
Kilbas, Anatoly A.; Trujillo, Juan J.
42
2003
An analog of the Bitsadze-Samarskiĭ problem for a mixed type equation with a fractional derivative. Zbl 1065.35206
Kilbas, A. A.; Repin, O. A.
18
2003
Stirling functions of the second kind in the setting of difference and fractional calculus. Zbl 1086.11014
Butzer, Paul L.; Kilbas, Anatoly A.; Trujillo, Juan J.
10
2003
Fractional differential equations: a emergent field in applied and mathematical sciences. Zbl 1053.35038
Kilbas, 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 1096.11500
Butzer, Paul L.; Kilbas, Anatoly A.; Trujillo, Juan J.
4
2003
Hadamard-type fractional integrals and derivatives and differential equations of fractional order. Zbl 1247.45007
Kilbas, Anatolii Aleksandrovich; Marzan, Sergei A.; Titioura, A. A.
4
2003
Nonlinear differential equations of fractional order in weighted spaces of continuous functions. Zbl 1204.26009
Kilbas, A. A.; Marzan, S. A.
4
2003
Hadamard-type integral equations and fractional calculus operators. Zbl 1031.45004
Kilbas, Anatoly A.
3
2003
Existence and uniqueness theorems for differential equations of fractional order in weighted spaces of continuous functions. Zbl 1085.34002
Kilbas, Anatoly Al; Rivero, Margarita; Trujillo, Juan J.
2
2003
Hankel-Schwartz and Hankel-Clifford transforms on \({\mathcal L}_{\nu,p}\)-spaces. Zbl 1161.44302
Kilbas, Anatoly A.; Trujillo, Juan J.
1
2003
Differential equations of fractional order: Methods, results and problems. II. Zbl 1033.34007
Kilbas, A. A.; Trujillo, J. J.
124
2002
Fractional calculus in the Mellin setting and Hadamard-type fractional integrals. Zbl 0995.26007
Butzer, Paul L.; Kilbas, Anatoly A.; Trujillo, Juan J.
85
2002
Compositions of Hadamard-type fractional integration operators and the semigroup property. Zbl 1027.26004
Butzer, Paul L.; Kilbas, Anatoly A.; Trujillo, Juan J.
79
2002
Mellin transform analysis and integration by parts for Hadamard-type fractional integrals. Zbl 1022.26011
Butzer, Paul L.; Kilbas, Anatoly A.; Trujillo, Juan J.
75
2002
On the generalized Wright function. Zbl 1027.33015
Kilbas, Anatoly A.; Saigo, Megumi; Trujillo, Juan J.
45
2002
Solution of Volterra integrodifferential equations with generalized Mittag-Leffler function in the Kernels. Zbl 1041.45011
Kilbas, Anatoly A.; Saigo, Megumi; Saxena, R. K.
28
2002
\(\mathcal Y_\eta\) and \(\mathcal H_\eta\) transforms in \(\mathcal L_{v,r}\)-spaces. Zbl 1028.44003
Kilbas, A. A.; Gromak, E. V.
2
2002
Asymptotic representations for hypergeometric-Bessel type function and fractional integrals. Zbl 1013.33003
Kilbas, Anatoly A.; Rodríguez, Luis; Trujillo, Juan J.
2
2002
Generalized Hankel-type integral transform on \(\mathcal L_ {\nu,r}\)-spaces. Zbl 1036.44002
Kilbas, Anatoly A.; Schetnikovich, Elena K.
1
2002
Mittag-Leffler integral transform on \({\mathcal L}_{\nu,r}\)-spaces. Zbl 1046.44002
Bonilla, 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 1015.35059
Kilbas, A. A.; Repin, O. A.; Saigo, Megumi
1
2002
Generalized fractional integral transforms with Gauss function kernels as \(G\)-transforms. Zbl 1028.44004
Kilbas, Anatoly A.; Repin, Oleg A.; Saigo, Megumi
1
2002
Differential equations of fractional order: Methods, results and problems. I. Zbl 1031.34002
Kilbas, A. A.; Trujillo, J. J.
187
2001
Hadamard-type fractional calculus. Zbl 1018.26003
Kilbas, 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 0989.45003
Raina, 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 1020.44003
Glaeske, Hans-Jürgen; Kilbas, Anatoly A.; Saigo, Megumi; Shlapakov, Sergei A.
2
2001
Existence and uniqueness theorems for nonlinear fractional differential equations. Zbl 0964.34004
Kilbas, 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 0982.45003
Karapetyants, Nikolai K.; Kilbas, Anatoly A.; Saigo, Megumi; Samko, Stefan G.
12
2000
Computation of fractional integrals via functions of hypergeometric and Bessel type. Zbl 0966.65022
Kilbas, A. A.; Trujillo, J. J.
8
2000
Fractional integrals and derivatives,and differential equations of fractional order in weighted spaces of continuous functions. Zbl 1177.26011
Kilbas, A. A.; Bonilla, B.; Trujillo, Juan J.
8
2000
Nonlinear differential equations of fractional order in the space of integrable functions. Zbl 1137.34308
Kilbas, 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 0958.44004
Glaeske, H.-J.; Kilbas, Anatoly A.; Saigo, Megumi
6
2000
Modified Bessel-type function and solution of differential and integral equations. Zbl 1122.33300
Bonilla, 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 0982.34002
Saigo, M.; Kilbas, A. A.
3
2000
On the Meijer transform in \({\mathcal L}_{\nu, \tau}\)-space. Zbl 0974.44003
Kilbas, A. A.; Saigo, M.; Trujillo, J. J.
2
2000
Systems of nonlinear fractional differential equations in the space of summable functions. Zbl 1054.34009
Bonilla, B.; Kilbas, A. A.; Trujillo, J. J.
2
2000
Generalized Hankel transform on \({\mathcal L}_{\nu,\tau}\)-space. Zbl 0963.44005
Kilbas, Anatoly A.; Trujillo, Juan J.
2
2000
The generalized Hardy-Titchmarsh transform in the space of summable functions. Zbl 1045.44002
Kilbas, A. A.; Saigo, M.; Borovko, A. N.
1
2000
Hardy-Titchmarsh and Hankel type transforms in \({\mathcal L}_{\nu,\tau}\)-spaces. Zbl 0976.44010
Kilbas, A. A.; Borovco, A. N.
1
2000
On the generalized Hardy-Titchmarsh transform in \({\mathfrak L}_{\nu,r}\)-space. Zbl 0958.44006
Kilbas, Anatoly A.; Saigo, Megumi; Borovco, Anna
1
2000
On solution of nonlinear Abel-Volterra integral equation. Zbl 0917.45004
Kilbas, Anatoly A.; Saigo, Megumi
16
1999
Generalized fractional calculus of the \(H\)-function. Zbl 0942.33008
Saigo, Megumi; Kilbas, Anatoly A.
6
1999
On the \(H\)-function. Zbl 0934.33018
Kilbas, 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 0937.33004
Bonilla, B.; Rivero, M.; Rodríguez, J.; Trujillo, J.; Kilbas, A. A.
4
1999
Solution of multidimensional hypergeometric integral equations of Abel type. Zbl 1039.45502
Kilbas, 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 1032.44006
Kilbas, Anatoly A.; Trujillo, Juan J.
1
1999
On the Lommel-Maitland transform in \(\mathfrak L_{\nu,r}\)-space. Zbl 1032.44007
Kilbas, Anatoly A.; Saigo, Megumi; Borovco, Anna
1
1999
Obituary. Anatolii Platonovich Prudnikov (1927-1999). Zbl 0938.01039
Glaeske, 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 0935.33012
Gorenflo, R.; Kilbas, A. A.; Rogosin, S. V.
41
1998
On Mittag-Leffler type function and applications. Zbl 0933.26001
Saigo, Megumi; Kilbas, Anatoly A.
22
1998
On inversion of \(H\)-transform in \({\mathfrak L}_{v,r}\)-space. Zbl 0912.33005
Shlapakov, Sergei A.; Saigo, Megumi; Kilbas, Anatoly A.
6
1998
Bessel-type integral transforms on \({\mathcal L}_{\nu,r}\)-spaces. Zbl 0969.44003
Glaeske, Hans-Jürgen; Kilbas, Anatoly A.
4
1998
A problem with deviating argument for a parabolic-hyperbolic equation. Zbl 1075.35537
Kilbas, A. A.; Repin, O. A.
2
1998
Fractional calculus of the \(H\)-function. Zbl 0923.33006
Kilbas, Anatoly A.; Saigo, Megumi
2
1998
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69 Jarad, Fahd
65 Tarasov, Vasily E.
63 Liu, Fawang
63 Tariboon, Jessada
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56 Rezapour, Shahram
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53 Liu, Lishan
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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
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33 Almeida, Ricardo
33 Etemad, Sina
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33 Yang, Xiao-Jun
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30 Owolabi, Kolade Matthew
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27 Anh, Vo V.
27 Fečkan, Michal
26 Graef, John R.
26 Khan, Aziz
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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
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