Katugampola Fractional Calculus With Generalized $k-$Wright Function

TL;DR

This paper explores properties of Katugampola fractional calculus and its application to the generalized k-Wright function, expanding the theoretical framework of fractional integrals and derivatives.

Contribution

It introduces new properties of Katugampola fractional operators and their application to the generalized k-Wright function, enhancing fractional calculus theory.

Findings

Derived properties of Katugampola fractional integrals and derivatives.

Analyzed fractional calculus involving the generalized k-Wright function.

Extended the theoretical understanding of fractional calculus with special functions.

Abstract

In this article, we presented some properties of the Katugampola fractional integrals and derivatives. Also we studied the fractional calculus properties involving Katugampola Fractional integrals and derivatives of generalized $k-$Wright function $_{n}\Phi_{m}^{k}(z).$\\[2mm]