Existence and uniqueness results for fuzzy boundary value problems of nonlinear differential equations involving Atangana-Baleanu fractional derivatives

Abstract

This manuscript is devoted to the investigation of the existence and uniqueness results for fuzzy fractional boundary value problems of some nonlinear differential equations involving fuzzy Atangana-Baleanu fractional derivatives of order ? ? (1, 2). By applying Banach fixed point theorem, some new results and properties of Atangana-Baleanu fractional derivatives and generalized Hukuhara difference, we establish our main existence theorems. As application, a nontrivial example is given to illustrate our theoretical results.