Existence, uniqueness and stability results for coupled systems of fractional integro-differential equations with fixed and nonlocal anti-periodic boundary conditions

Abstract

In this paper, we investigate the existence and uniqueness of solutions for a new class of coupled system of two Caputo fractional derivatives of different orders and a Riemann- Liouville type integral with fixed and nonlocal anti-periodic boundary conditions, by using the fixed point approach in generalized metric spaces. The Ulam’s type stability of the proposed coupled system is also studied. An example is provided to illustrate the obtained theory.