On Existence and Uniqueness of Solution of Fuzzy Fractional Differential Equations

Abstract

The purpose of this paper is to study the fuzzy fractional differential<br />equations. We prove that fuzzy fractional differential equation is<br />equivalent to the fuzzy integral equation and then using this equivalence<br />existence and uniqueness result is establish. Fuzzy derivative is consider<br />in the Goetschel-Voxman sense and fractional derivative is consider in the<br />Riemann Liouville sense. At the end, we give the applications of the main<br />result.