APPLICATION OF q-SHEHU TRANSFORM ON q-FRACTIONAL KINETIC EQUATION INVOLVING THE GENERALIZED HYPER-BESSEL FUNCTION

Abstract

In this paper, we introduce the [Formula: see text]-Shehu transform. Further, we define the generalized hyper-Bessel function. Also, we state the [Formula: see text]-Shehu transform for some elementary functions. The present aim in this paper is to obtain the solutions of the [Formula: see text]-fractional kinetic equations in terms of the established generalized hyper-Bessel function by applying the established [Formula: see text]-Shehu transform. Also, we give some special cases of our main results. At the end of this paper, we give the numerical values and the graphical representations of these solutions by using the software MATLAB.