Existence and stability results for nonlinear fractional integro-differential coupled system

Abstract

In this paper, a class of nonlinear ψ−Hilfer fractional integro-differential coupled system on bounded domain is investigated. The existence and uniqueness result for the coupled system is proved based on the contraction mapping principle. Moreover, the Ulam-Hyers-Rassias, Ulam-Hyers and Semi-Ulam-Hyers-Rassias stabilities to the initial value problem are obtained. 2020 Mathematics Subject Classification: 26A33; 34A08; 34K20; 45D05.