On fractional kinetic equations

By R. K. Saxena, Arak M. Mathai, Hans J. Haubold. 2002

195 citations recorded by the source corpus.

The subject of this paper is to derive the solution of generalized fractional kinetic equations. The results are obtained in a compact form containing the Mittag-Leffler function, which naturally occurs whenever one is dealing with fractional integral equations. The results derived in this paper provide an extension of a result given by Haubold and Mathai in a recent paper (Haubold and Mathai, 2000).

Subfields: Modeling and Simulation, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/b85766fa54db1627154c73688166a861b9ce61c5

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In Modeling and Simulation

In Statistical and Nonlinear Physics

Citations in the corpus

On Generalized Fractional Kinetic Equations Involving Generalized Bessel Function of the First Kind (2015, background): “One may, for instance, refer to such type of works by [11–23].”
A fractional‐order Jacobi Tau method for a class of time‐fractional PDEs with variable coefficients (2016, background): “Time-fractional PDEs have several applications in many areas, such as diffusion processes, electrochemistry, electromagnetics, chaotic dynamics, turbulent flow, and material science.[4, 20, 21].”
Fractional-Order Derivatives and Integrals: Introductory Overview and Recent Developments (2020, background): “For other results involving various classes of fractional kinetic equations and their solutions, one may refer to such works as (for example) [15, 26, 34, 68, 73, 74, 75, 76, 78, 97].”