Non-existence of Global Solutions for a Generalized Fractional Differential Problem

TL;DR

This paper investigates conditions under which solutions to a fractional differential problem with a generalized Katugampola derivative do not exist globally, using test functions and fractional integration techniques.

Contribution

It introduces new non-existence results for solutions of fractional differential equations involving the generalized Katugampola derivative.

Findings

Established non-existence conditions for global solutions

Applied test function method and fractional integration by parts

Provided an illustrative example demonstrating the results

Abstract

Aim of this paper is to study the non-existence of global solutions of the fractional differential problem involving generalized Katugampola derivative. We utilize the test function method and fractional integration by parts formula to obtain the result. An illustrative example is also given.