New existence results for a coupled system of nonlinear differential equations of arbitrary order

نویسندگان
Dahmani, Zoubir ID 1
Abdellaoui, M.A. ID 2
Bedjaoui, N. ID 3

1 LPAM, Faculty of SEI, UMAB, University of Mostaganem, Algeria

2 LPAM, Faculty of SEI, UMAB, University of Mostaganem, Algeria

3 Laboratoire LAMFA, Universit'e de Picardie Jules Vernes, INSSET St Quentin, France

doi
10.22075/ijnaa.2015.255
چکیده

This paper studies the existence of solutions for a coupled system of nonlinear fractional differential equations. New existence and uniqueness results are established using Banach fixed point theorem. Other existence results are obtained using Schaefer and Krasnoselskii fixed point theorems. Some illustrative examples are also presented.

کلیدواژه‌ها
Caputo derivative, Coupled system, Fractional differential equation, Fixed point