World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
32
Citations
42864
World Ranking
3086
National Ranking
1

Overview

Anatoly A. Kilbas was affiliated with Belarusian State University in Belarus during their academic career. Their work contributed primarily to the fields of Mathematics, Computer Science, and Engineering, with a particular focus on applied and computational aspects.

The main fields of study addressed in their research included:

  • Mathematics
  • Computer Science
  • Engineering

The subfields in which they published research were:

  • Applied Mathematics
  • Modeling and Simulation
  • Computational Theory and Mathematics
  • Numerical Analysis
  • Mechanics of Materials

The research topics explored by Kilbas spanned a range of mathematical and engineering disciplines, including:

  • Mathematical functions and polynomials
  • Fractional Differential Equations Solutions
  • Functional Equations Stability Results
  • Matrix Theory and Algorithms
  • Nonlinear Differential Equations Analysis
  • Iterative Methods for Nonlinear Equations
  • Numerical methods in engineering

Frequent collaboration was observed with a small group of co-authors with whom Kilbas published extensively. These included Rudolf Gorenflo, Francesco Mainardi, and Sergei Rogosin, each collaborating on multiple occasions, reflecting a continuing joint research effort.

Among their academic publications, Kilbas authored at least one book published by Springer Science+Business Media. The book titled Mittag-Leffler Functions, Related Topics and Applications was published in 2020 and has received a significant number of citations, representing one of their key contributions to the study of special functions in mathematical analysis.

Their research output, though not extensively detailed in terms of individual papers or venues, demonstrated a strong specialization in fractional calculus and the stability and solutions of functional and differential equations, as well as computational techniques related to matrices and nonlinear problems.

Best Publications

  • Theory and Applications of Fractional Differential Equations

    Anatoly A Kilbas;Hari M Srivastava;Juan J Trujillo

  • Fractional Integrals and Derivatives: Theory and Applications

    Stefan G Samko;Anatoly A Kilbas;Oleg Igorevich Marichev

  • Mittag-Leffler Functions, Related Topics and Applications

    Rudolf Gorenflo;Anatoly A. Kilbas;Francesco Mainardi;Sergei V. Rogosin

  • Multi-index Mittag-Leffler Functions

    Rudolf Gorenflo;Anatoly A. Kilbas;Francesco Mainardi;Sergei V. Rogosin

  • THEORY AND APPLICATIONS OF FRACTIONAL DIFFERENTIAL EQUATIONS. NORTH-HOLLAND MATHEMATICS STUDIES

    A A Kilbas;H M Srivastava;J J Trujillo

  • GENERALIZED MITTAG-LEER FUNCTION AND GENERALIZED FRACTIONAL CALCULUS OPERATORS

    Anatoly A. Kilbas;Megumi Saigo;R. K. Saxena

  • Differential equations of fractional order:methods results and problem —I

    A.A. Kilbas;J.J. Trujillo

  • H-Transforms: Theory and Applications

    Anatoly A. Kilbas

  • HADAMARD-TYPE FRACTIONAL CALCULUS

    Anatoly A.Kilbas

  • Nonlinear differential equations with the Caputo fractional derivative in the space of continuously differentiable functions

    A. A. Kilbas;S. A. Marzan

  • Fractional calculus in the Mellin setting and Hadamard-type fractional integrals

    Paul L. Butzer;Anatoly A. Kilbas;Juan J. Trujillo

  • Compositions of Hadamard-type fractional integration operators and the semigroup property

    Paul L. Butzer;Anatoly A. Kilbas;Juan J. Trujillo

  • Mellin transform analysis and integration by parts for Hadamard-type fractional integrals

    Paul L. Butzer;Anatoly A. Kilbas;Juan J. Trujillo

  • Differential Equations of Fractional Order: Methods, Results and Problems. II

    Unknown

  • On the generalized mittag-leffler type functions

    R. Gorenflo;A.A. Kilbas;S.V. Rogosin

  • CAPUTO LINEAR FRACTIONAL DIFFERENTIAL EQUATIONS

    A.A. Kilbas;M. Rivero;L. Rodríguez-Germá;J.J. Trujillo

  • Fractional Calculus of the Generalized Wright Function

    Anatoly Kilbas

  • Generalized fractional integration of Bessel function of the first kind

    Anatoly A. Kilbas;Nicy Sebastian

  • Solution of Volterra Integro-Differential Equations with Generalized Mittag-Leffler Function in the Kernels

    Anatoly A. Kilbas;Megumi Saigo;R.K. Saxena

  • On solution of integral equation of Abel-Volterra type

    Anatoly A. Kilbas;Megumi Saigo

  • On the H-function

    Anatoly A. Kilbas;Megumi Saigo

Frequent Co-Authors

Juan J. Trujillo
Juan J. Trujillo University of La Laguna
Rudolf Gorenflo
Rudolf Gorenflo Freie Universität Berlin
Francesco Mainardi
Francesco Mainardi National Institute for Nuclear Physics
Paul L. Butzer
Paul L. Butzer RWTH Aachen University
Hari M. Srivastava
Hari M. Srivastava University of Victoria
Stefan Samko
Stefan Samko University of Algarve

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