Coupled Caputo-Fabrizio fractional differential systems in generalized Banach spaces

Said Abbas 1 , Mouffak Benchohra 2 and Johnny Henderson 3 *

doi:10.26637/MJM0901/0003

Coupled Caputo-Fabrizio fractional differential systems in generalized Banach spaces

Authors :

Said Abbas ¹, Mouffak Benchohra ² and Johnny Henderson ^{3 *}

Author Address :

¹ Department of Mathematics, University of Sa?da–Dr. Moulay Tahar, P.O. Box 138, EN-Nasr, 20000 Sa?da, Algeria
² Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbès, P.O. Box 89, Sidi Bel-Abbes 22000, Algeria
³ Department of Mathematics, Baylor University, Waco, Texas 76798-7328 USA.

*Corresponding author.

Abstract :

This paper deals with existence and uniqueness of solutions for some coupled systems of Caputo-Fabrizio fractional differential equations. Some applications are made of generalizations of classical fixed point theorems on generalized Banach spaces. An illustrative example is presented in the last section.

Keywords :

Fractional differential equation, Caputo--Fabrizio integral of fractional order, Caputo--Fabrizio fractional derivative, coupled system, generalized Banach space, fixed point.

DOI :

10.26637/MJM0901/0003

Article Info :

Received : December 01, 2020; Accepted : December 14, 2020.