Indian Journal of Industrial and Applied Mathematics
  • Year: 2014
  • Volume: 5
  • Issue: 2

On a Couple System of Integro-Diferential Equations of Arbitrary Orders

  • Author:
  • Amin Mohamed ABDELLAOUI1,, Nabil BEDJAOUI2, DAHMANI Zoubir3
  • Total Page Count: 9
  • Published Online: Dec 1, 2014
  • Page Number: 96 to 104

1LPAM, Faculty SEI, UMAB, Mostaganem, Algeria

2Laboratoire LAMFA, Université de Picardie Jules Vernes, INSSET St Quentin, France

3LPAM, Faculty SEI, UMAB, Mostaganem, Algeria

*Corresponding Author E-mail Id: abdellaoui.amine13@yahoo.fr

Abstract

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

Keywords

Caputo derivative, fixed point, coupled system, existence, uniqueness, AMS Subject Classification (2000): 34A34, 34B10