Existence result for nonlinear fractional differential system with  boundary conditions

Ouarda Saifia; Amel Boulfoul; Adel Lachouri

Ouarda Saifia Chadli Bebdjedid university El Tarf
Amel Boulfoul 20 Ao\^ut 1955 University,\\ BP26 El Hadaiek, 21000 Skikda, Algeria.
Adel Lachouri University of Sciences and Technology Houari Boumedienne, .\\ P.O. Box 32, 16111, El-Alia, Bab Ezzouar, Algiers, Algeria.

Abstract

The Banach contraction mapping principle and the Schaefer fixed point theorem are used in this
manuscript to demonstrate the existence and the uniqueness of a solution for a coupled fractional
differential system with boundary conditions. In addition, the proposed coupled system's Ulam's
type stability is investigated. Finally, The analytical results are illustrated by an example.