KATUGAMPOLA KINETIC FRACTIONAL EQUATIONS WITH ITS SOLUTIONs

Abstract

The use of fractional kinetic equations to describe the many phenomena regulated by anomalous reactions in dynamical systems with chaotic motion is examined. Several authors have used a variety of methodologies to study a number of difficulties arising from the generalised Bessel’s function. In this follow-up study, the results of Katugampola kinetic fractional equations containing the first kind of generalised Bessel’s function will be investigated. The result is obtained using the τ Laplace transform technique. We may use the generality of this series to deduce solutions for a fractional kinetic equation employing a different sort of Bessel’s series. A graphical representation of the behaviors of the obtained solutions is also supplied.