Study of fractional integro‐differential equations under Caputo‐Fabrizio derivative

Abstract

This work is devoted to study a class of fractional integro‐differential equations under Caputo‐Fabrizo derivative. Thank to Banach's and Krasnoselskii's fixed point theorems, the existence and uniqueness results are established for the considered problem. Further, we also derive some necessary conditions for Hyers‐Ulam and generalized Hyers‐Ulam type stability analysis to the considered problem. Finally, a pertinent problem is given to illustrate the main results.