ANALYTICAL SOLUTIONS OF FRACTIONAL KINETIC EQUATIONS USING SRIVASTAVA POLYNOMIAL AND S-FUNCTION

Abstract

Fractional equations are powerful mathematical tools to describe the complex mathematical aspects of real-world problems, due to their vast application in various domains of applied mathematics. Many researchers proposed several fractional differential equations and discussed their solutions by various techniques, i.e. specially the fractional kinetic equations involving special functions were discussed by many eminent workers and their importance may be exhibited in the literature of the subject domain. In the present manuscript, we explore a set of new fractional kinetic equations incorporating the Srivastava polynomial function and S-Function with their fractional derivatives. Further, using the approach of Laplace transform their solutions are obtained in terms of the Mittag-Leffler function. Moreover, the numerical and graphical representations of the solutions are also provided to illustrate their behaviour.