Darboux problem for Caputo-Katugampola fuzzy fractional order differential equations

TL;DR

This paper establishes existence and uniqueness results for fuzzy fractional differential equations of Darboux type using Caputo-Katugampola derivatives, with applications demonstrating the practical relevance of the findings.

Contribution

It introduces new existence and uniqueness theorems for fuzzy fractional differential equations with Caputo-Katugampola derivatives, employing Schauder's fixed point theorem.

Findings

Proved existence and uniqueness of solutions.

Applied Schauder's fixed point theorem.

Provided practical applications.

Abstract

In this paper, we investigate existence and uniqueness of solutions for Darboux type problem for fuzzy fractional order differential equation. We used Caputo-Katogampola fuzzy fractional derivative for proving our results. Schauder's fixed point theorem is used in proving our results. some applications are also provided to give the usefulness of our results.