On a class of system of generalized neutral hyperbolic partial fractional differential equations

Adel Lachouri; Mohammed S. . Abdo; Abdelouaheb Ardjouni

Adel Lachouri Laboratory of SD, Faculty of Mathematics, University of Science and Technology Houari Boumediene, P.O. Box 32, El-Alia, Bab Ezzouar, 16111, Algiers, Algeria.
Mohammed S. . Abdo Department of Mathematics, Hodeidah University, Al-Hudaydah, Yemen.
Abdelouaheb Ardjouni Department of Mathematics and Informatics, University of Souk Ahras, P.O. Box 1553, Souk Ahras, 41000, Algeria

Abstract

In this current manuscript, a class of neutral hyperbolic partial fractional functional differential equations (FPDEs) involving the generalized Caputo partial fractional derivative is investigated. The existence and uniqueness results are established based on some known tools of fixed point theory. In the end, two suitable examples are provided to demonstrate the obtained outcomes.