On Generalized Fractional Kinetic Equations

TL;DR

This paper extends the solutions of fractional kinetic equations using generalized Mittag-Leffler functions, providing more comprehensive models with potential applications in physics.

Contribution

It introduces solutions to more generalized fractional kinetic equations, broadening the mathematical framework beyond previous models.

Findings

Solutions expressed in terms of generalized Mittag-Leffler functions

Enhanced mathematical models for fractional kinetic equations

Potential implications for physical laws

Abstract

In a recent paper, Saxena et al. [1] developed the solutions of three generalized fractional kinetic equations in terms of Mittag-Leffler functions. The object of the present paper is to further derive the solution of further generalized fractional kinetic equations. The results are obtained in a compact form in terms of generalized Mittag-Leffler functions. Their relation to fundamental laws of physics is briefly discussed.