SOLVABILITY AND STABILITY FOR NONLINEAR FRACTIONAL INTEGRO-DIFFERENTIAL SYSTEMS OF HIGHT FRACTIONAL ORDERS

Abstract

In this paper, using Riemann-Liouville integral and Caputo derivative, we study an n−dimensional coupled system of nonlinear fractional integrodifferential equations of hight arbitrary order. The contraction mapping principle and Schaefer fixed point theorem are applied to prove the uniqueness and existence of solutions in Banach Spaces. Furthermore, we derive the UlamHyers and the generalized Ulam-Hyers stabilities of solutions. Some illustrative examples are also presented.