Some new results on the stability of fractional integro-differential equations under uncertainty

Abstract

In this research, we introduce the concept of Eα-type stability for fractional integro-differential equations with uncertainty. We propose different types of fuzzy Eα stabilities for some classes of fuzzy integro-differential equations of fractional order. Besides, we present some new findings on the existence and uniqueness of the solutions of fuzzy integro-differential equations of fractional order using the proposed new concept.