Existence and stability for fractional order integral equations with multiple time delay in Frechet spaces

Said Abbasa and Mouffak Benchohrab,*

Existence and stability for fractional order integral equations with multiple time delay in Frechet spaces

Authors :

Said Abbas^a and Mouffak Benchohra^b,*

Author Address :

^aLaboratoire de Mathematiques, Universite de Saida, B.P. 138, 20000, Saida, Algerie.
^bLaboratoire de Mathematiques, Universite de Sidi Bel-Abbes, B.P. 89, 22000, Sidi Bel-Abbes, Algerie.

*Corresponding author.

Abstract :

In this paper, we present some results concerning the existence of solutions for a system of integral equations of Riemann-Liouville fractional order with multiple time delay in Fr´echet spaces, we use an extension of the Burton-Kirk fixed point theorem. Also we investigate the stability of solutions of this system.

Keywords :

Functional integral equation, left-sided mixed Riemann-Liouville integral of fractional order, solution, stability, multiple time delay, Frechet space, fixed point.

DOI :

Article Info :

Received : September 02, 2012; Accepted : September 12, 2012.