On Existence and Uniqueness of Solution of Fuzzy Fractional Differential Equations

The purpose of this paper is to study the fuzzy fractional differentialequations. We prove that fuzzy fractional differential equation isequivalent to the fuzzy integral equation and then using this equivalenceexistence and uniqueness result is establish. Fuzzy derivative is considerin the Goetschel-Voxman sense and fractional derivative is consider in theRiemann Liouville sense. At the end, we give the applications of the mainresult.

کلیدواژه ها:

Fuzzy numbers ، Fuzzy fractional differential equations ، Goetschel-Voxman fuzzy derivative ، Cauchy problem ، Existence and uniqueness result