Existence and Stability of Fractional Differential Equations Involving Generalized Katugampola Derivative

TL;DR

This paper investigates the existence and stability of solutions for fractional differential equations involving the generalized Katugampola derivative, using fixed point theorems and providing illustrative examples.

Contribution

It introduces new existence and stability results for fractional differential equations with the generalized Katugampola derivative, expanding the theoretical framework.

Findings

Established existence and stability conditions for the equations.

Provided fixed point theorems applicable to this class of equations.

Included examples demonstrating the theoretical results.

Abstract

The existence and stability results for a class of fractional differential equations involving generalized Katugampola derivative are presented herein. Some fixed point theorems are used and enlightening examples of obtained result are also given.