Katugampola kinetic fractional equation with its solution

Abstract

The purpose of this research is to investigate the result of Katugampola kinetic fractional equations containing the first kind of generalized Bessel's function. This paper considers the manifold generality of the first kind generalized Bessel's function in form of the solution of Katugampola kinetic fractional equations. The $\tau$ Laplace transform technique is used to obtain the result. In addition, a graphical representation is included for viewing the behavior of the gained solutions.