Anatoly A. Kilbas

Anatoly A. Kilbas's AcademicInfluence.com Rankings

Anatoly A. Kilbas

Mathematics

#6760

World Rank

#9308

Historical Rank

Measure Theory

#1578

World Rank

#1956

Historical Rank

mathematics Degrees

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Mathematics

Anatoly A. Kilbas's Degrees

PhD Mathematics Belarusian State University

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Anatoly A. Kilbas's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Theory and Applications of Fractional Differential Equations (2006) (12677)
Fractional Integrals and Derivatives: Theory and Applications (1993) (7606)
Theory and Applications of Fractional Differential Equations, Volume 204 (North-Holland Mathematics Studies) (2006) (1187)
THEORY AND APPLICATIONS OF FRACTIONAL DIFFERENTIAL EQUATIONS. NORTH-HOLLAND MATHEMATICS STUDIES (2006) (1072)
Mittag-Leffler Functions, Related Topics and Applications (2014) (871)
Multi-index Mittag-Leffler Functions (2014) (740)
Generalized mittag-leffler function and generalized fractional calculus operators (2004) (470)
Differential equations of fractional order:methods results and problem —I (2001) (396)
H-Transforms: Theory and Applications (2004) (351)
HADAMARD-TYPE FRACTIONAL CALCULUS (2001) (284)
Nonlinear differential equations with the Caputo fractional derivative in the space of continuously differentiable functions (2005) (242)
Fractional calculus in the Mellin setting and Hadamard-type fractional integrals (2002) (197)
Mellin transform analysis and integration by parts for Hadamard-type fractional integrals (2002) (173)
Compositions of Hadamard-type fractional integration operators and the semigroup property (2002) (171)
Differential Equations of Fractional Order: Methods, Results and Problems. II (2002) (167)
On the H-function (1998) (122)
On the generalized mittag-leffler type functions (1998) (113)
Generalized fractional integration of Bessel function of the first kind (2008) (89)
Fractional Calculus of the Generalized Wright Function (2005) (86)
Solution of Volterra Integro-Differential Equations with Generalized Mittag-Leffler Function in the Kernels (2002) (84)
On solution of integral equation of Abel-Volterra type (1995) (80)
Hadamard-type integrals as G-transforms (2003) (72)
Multi-parametric mittag-leffler functions and their extension (2013) (60)
On Mittag-Leffler type function and applications (1998) (55)
Generalized Fractional Calculus of the H-Function (1999) (44)
Cauchy Problem for Differential Equation with Caputo Derivative (2004) (42)
EXISTENCE AND UNIQUENESS THEOREMS FOR NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS (2000) (41)
On the solution of fractional evolution equations (2004) (38)
On Solution of Nonlinear Abel–Volterra Integral Equation☆ (1999) (35)
An Analog of the Tricomi Problem for a Mixed Type Equation with a Partial Fractional Derivative (2010) (34)
CAPUTO LINEAR FRACTIONAL DIFFERENTIAL EQUATIONS (2006) (33)
Fractional Integration of the Product of Bessel Functions of the First Kind (2010) (31)
An Analog of the Bitsadze–Samarskii Problem for a Mixed Type Equation with a Fractional Derivative (2003) (31)
The Cauchy problem for the diffusion-wave equation with the Caputo partial derivative (2006) (28)
A Cauchy-type problem for the diffusion-wave equation with Riemann-Liouville partial derivative (2005) (27)
Krätzel Function as a Function of Hypergeometric Type (2006) (27)
Analytic methods of analysis and differential equations : AMADE 2006 (2006) (26)
The Classical Mittag-Leffler Function (2020) (25)
Stirling Functions of the Second Kind in the Setting of Difference and Fractional Calculus (2003) (24)
Fractional Differential Equations: A Emergent Field in Applied and Mathematical Sciences (2003) (21)
Integral transforms with fox's H-function in spaces of summable functions (1993) (19)
Weighted Boundedness of the Maximal , Singular and Potential Operators in Variable Exponent Spaces (2008) (19)
Nonlinear differential equations with marchaud‐hadamard‐type fractional derivative in the weighted space of summable functions (2007) (19)
alpha-Analytic solutions of some linear fractional differential equations with variable coefficients (2007) (19)
On generalized Krätzel Function (2009) (18)
Upper and Lower Bounds for Solutions of Nonlinear Volterra Convolution Integral Equations with Power Nonlinearity (2000) (17)
Integral transform with the extended generalized Mittag‐Leffler function (2006) (17)
Computation of fractional integrals via functions of hypergeometric and Bessel type (2000) (16)
The solution of a class of linear differential equations via functions of the Mittag-Leffler type (2000) (16)
A modified Bessel-type integral transform and its compositions with fractional calculus operators on spaces F p, m and F ′ p, m (2000) (14)
Partial fractional differential equations and some of their applications (2010) (14)
Integral Transforms with Fox′s H-function in Lν,r-spaces-2- (1994) (13)
Solvability of a boundary value problem for a mixed-type equation with a partial Riemann-Liouville fractional derivative (2010) (12)
On the Solution of Nonlinear Volterra Convolution Equation with Power Nonlinearity (1996) (11)
The Krätzel function and evaluation of integrals (2010) (11)
Generalized Stirling Functions of Second Kind and Representations of Fractional Order Differences via Derivatives (2003) (10)
FRACTIONAL CALCULUS OF P - TRANSFORMS (2010) (10)
Fractional Calculus of the H-Function (1998) (10)
Hadamard-Type Integral Equations and Fractional Calculus Operators (2003) (9)
Existence and uniqueness theorem for nonlinear fractional differential equations (2000) (9)
On inversion of H-transform in 𝔏v,r-space (1998) (8)
The cauchy problem for differential equations with fractional caputo derivative (2004) (8)
Hadamard-type fractional integrals and derivatives and differential equations of fractional order (2003) (8)
Stirling functions of first kind in the setting of fractional calculus and generalized differences (2007) (7)
Solving homogeneous fractional differential equations of Euler type (2011) (7)
Solvability of some Abel-type integral equations involving the Gauss hypergeometric function as kernels in the spaces of summable functions (2001) (7)
A Remark on Asymptotics of the Gamma Function at Infinity (Study on Applications for Fractional Calculus Operators in Univalent Function Theory) (2004) (6)
Bessel-type functions and bessel-type integral transforms on Spaces Fp,μ and (1999) (6)
Asymptotic representations for hypergeometric-Bessel type function and fractional integrals (2002) (6)
Bessel-type Integral Transforms on % MathType!MTEF!2!1!+-% feaaeaart1ev0aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXanrfitLxBI9gBaerbd9wDYLwzYbItLDharqqt% ubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq% -Jc9vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0x% fr-xfr-xb9adbaqaa (1998) (6)
Solution in Closed Form of Boundary Value Problem for Degenerate Equation of Hyperbolic Type (1996) (6)
Generalized Fractional Integral Transforms with Gauss Function Kernels As G-Transforms (2002) (5)
Conditions for the existence of a classical solution of a cauchy type problem for the diffusion equation with a Riemann-Liouville partial derivative (2008) (5)
Integral transforms with the Legendre function of the first kind in the kernels on -spaces (2009) (5)
The generalized hypergeometric function as the Meijer G-function (2016) (4)
On Solution in Closed Form of Nonlinear Integral and Differential Equations of Fractional Order (1996) (4)
EXISTENCE OF POSITIVE MONOTONIC SOLUTIONS OF FUNCTIONAL HYBRID FRACTIONAL INTEGRAL EQUATIONS OF QUADRATIC TYPE (2015) (4)
On an Integrable Solution of a Multidimensional Abel-type Integral Equation (1995) (4)
New trends on fractional integral and differential equations (2005) (3)
On Asymptotic Solutions of Nonlinear and Linear Abel-Volterra Integral Equations. II (1994) (3)
Nonlocal Problem for the Hyperbolic Equation with Fractional Derivatives in the Boundary Condition (2003) (3)
Some aspects of differential equations of fractional order (2004) (3)
{\cal Y}_{\bieta} AND {\cal H}_{\bieta} TRANSFORMS IN {\cal L}_{\binu, r} -SPACES (2002) (3)
Applications to Fractional Order Equations (2020) (3)
Integral transforms with h-function kernels on L v,r-Spaces (2001) (3)
On The Meijer Transform In Space (2000) (3)
The Two-Parametric Mittag-Leffler Function (2020) (3)
Solution of a multidimensional integral equation of the first kind with the Legendre function in the kernel over a pyramidal domain (2009) (2)
Applications to Stochastic Models (2020) (2)
Applications to Deterministic Models (2020) (2)
On the existence and uniqueness of solutions of certain classes of abstract multi-term fractional differential equations (2014) (2)
Hardy-Titchmarsh And Hankel Type Transforms In -Spaces (2000) (2)
Modified Bessel-type integral transform in Lv, r-space (1998) (2)
Multi-parametric mittag-leffler functions and their extension (2013) (2)
Solution of abel‐type hypergeometric integral equation (1997) (1)
Historical Overview of the Mittag-Leffler Functions (2020) (1)
Mittag-Leffer integral transform on Lvs-spaces (2002) (1)
On the Generalized Hardy-Titchmarsh Transform in 〓v,r-Space (2000) (1)
数学 Compositions of Generalized Fractional Integration Operators as Modified G-Transforms (2002) (1)
On generalized fractional integration operators with fox's H-Functions on spaces Fp,μand (1996) (1)
Stanislavskii Probability Interpretation of the Integral of Fractional Order (2019) (1)
Mittag-Leffler Functions with Three Parameters (2020) (1)
International Conference “Analytic Methods of Analysis and Differential Equations” (AMADE-2009) (Minsk, Belarus, September 14–19, 2009) (2010) (0)
International Conference “Analytic Methods of Analysis and Differential Equations” (AMADE’99) (September 14–18, 1999, Minsk, Belarus) (2000) (0)
Properties of the H-Function (2004) (0)
MODIFIED H-TRANSFORMS ON THE SPACE Lv,r (2004) (0)
EULER-TYPE FRACTIONAL DIFFERENTIAL EQUATIONS (2009) (0)
International conference “Analytic Methods of Analysis and Differential Equations” (AMADE-2006) dedicated to the centenary of Academician F. D. Gakhov (September 13–19, 2006, Minsk, Belarus) (2008) (0)
Multi-index and Multi-variable Mittag-Leffler Functions (2020) (0)
Zygmund Type Estimates and Mapping Properties of Operators with Power-Logarithmic Kernels in Generalized Holder Spaces (1993) (0)
The Classical Wright Function (2020) (0)
Asymptotic expansions of 𝒴η transform (2005) (0)
Anatolii Platonovich Prudnikov: life in science (1999) (0)
On Two-Weighted Estimates for Integral Operators with General Kernels (1994) (0)
Introduction (2020) (0)
On Solutions of Multidimensional Integral Equations of the First Kind with Weak Singularities (1994) (0)
Some Problems in the Theory of Integral and Differential Equations of Fractional Order (2003) (0)
Generalized Fractional Calculus of the $H$-Function (Applications of Complex Function Theory to Differential Equations) (1998) (0)
INTEGRAL TRANSFORM WITH THE EXTENDED GENERALIZED MITTAG-LEFFLER FUNCTION (2009) (0)
G-TRANSFORM AND MODIFIED G-TRANSFORMS ON THE SPACE Lv,r (2004) (0)
On Properties of Convex Functions of Order α≧1/2 (1994) (0)
Definition, Representations and Expansions of the H-Function (2004) (0)
BESSEL-TYPE INTEGRAL TRANSFORMS AND H-TRANSFORMS (2003) (0)
MODIFIED H-TRANSFORMS IN £v,r-SPACES (2000) (0)
SOLVABILITY OF A NON–LOCAL PROBLEM WITH INTEGRAL GLUING CONDITION FOR MIXED TYPE EQUATION WITH ERDELYI–KOBER OPERATORS OBIDJON KH. ABDULLAEV (2017) (0)
Modified H-transforms in spaces (2000) (0)
H-TRANSFORM ON THE SPACE Lv,r (2004) (0)
A generalized Hankel transform on Lν,r–spaces (2003) (0)
On Gaussian Associated Hypergeometric Functions (1995) (0)
Integral transforms with H-function kernels on $\LLL_{\nu,r}$-Spaces (1998) (0)
BESSEL TYPE INTEGRAL TRANSFORMS ON THE SPACE Lv,r (2004) (0)
On inversion of H-Transform in $\eufb114_{\nu ,r}$-space (1998) (0)
On Stein-Weiss Theorem and Mapping Properties of Potential Type Operators with Power and Power-Logarithmic Kernels (1994) (0)
HYPERGEOMETRIC TYPE INTEGRAL TRANSFORMS ON THE SPACE Lv,r (2004) (0)
Solution of an Integral Equation of the First Kind with a Logarithmic Kernel and Internal Coefficients (1995) (0)
Hankel-Schwartz and Hankel-Clifford transforms on % MathType!MTEF!2!1!+-% feaaeaart1ev0aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXanrfitLxBI9gBaerbd9wDYLwzYbItLDharqqt% ubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq% -Jc9vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0x% fr (2003) (0)

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What Schools Are Affiliated With Anatoly A. Kilbas?

Anatoly A. Kilbas is affiliated with the following schools:

Belarusian State University