A NOVEL APPROACH TO FRACTIONAL KINETIC EQUATIONS INVOLVING LAGUERRE POLYNOMIAL FUNCTION AND S-FUNCTION

Abstract

Fractional kinetic equations incorporating special functions have proven useful in explaining and

solving many significant mathematical and mathematical physics problems. Given the significant

role of arbitrary-order kinetic equations, this study focuses on solving a newly formulated equation

of this type by utilizing the Sumudu transform. The equation incorporates fractional derivatives and

involves a composition of Laguerre polynomials and the S-Function. Our investigation included

MATLAB-generated graphical representations to show how these solutions behave under different

parametric conditions. It is important to highlight that the study's results are incredibly flexible and

could lead to confirmed and perhaps undiscovered research findings in this area.