Existence of  solutions of a coupled system of functional integro-differential equations of arbitrary (fractional) orders

H. El-Owaidy 1 , A. M. A. El-Sayed 2 and Reda Gamal Ahmed 3 *

doi:10.26637/MJM0604/0011

Existence of solutions of a coupled system of functional integro-differential equations of arbitrary (fractional) orders

Authors :

H. El-Owaidy ¹ , A. M. A. El-Sayed² and Reda Gamal Ahmed ^{3 *}

Author Address :

^1,3 Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City (11884), Cairo, Egypt.
²Department of Mathematics, Faculty of Science, Alexandria University, Egypt.

*Corresponding author.

Abstract :

In this paper, we study the existence of solutions for a coupled system of functional integro-differential equations.

Keywords :

Fractional order differential equations, functional equations, existence of solutions, integral solutions, continuous solutions, fractional calculus.

DOI :

10.26637/MJM0604/0011

Article Info :

Received : May 23, 2018; Accepted : September 24, 2018.