Ouarda Saifia - Department of mathematics, Chadli Bendjedid University Eltarf, BP ۷۳, Eltarf, ۳۶۰۰۰, Algeria
Amel Boulfoul - Department of Mathematics, ۲۰ Aout ۱۹۵۵ University, BP۲۶ El Hadaiek, ۲۱۰۰۰ Skikda, Algeria

In this study, we focus on the existence of a solution for a fractional differential system with integral boundary conditions in specific fractional derivative Banach space. We establish the existence of a solution by using the Schauder fixed point theorem.

Fractional differential system, Fractional derivative Banach space, Green's function, Fixed-point theorem