On Katugampola fractional order derivatives and Darboux problem for differential equations

Djalal Boucenna; Abdellatif Ben Makhlouf; Mohamed Ali Hammami

doi:10.4067/S0719-06462020000100125

DOI:

https://doi.org/10.4067/S0719-06462020000100125

Abstract

In this paper, we investigate the existence and uniqueness of solutions for the Darboux problem of partial differential equations with Caputo-Katugampola fractional derivative.

Keywords

Darboux problem , Fractional differential equations , Caputo-Katugampola derivative

Djalal Boucenna Laboratory of Advanced Materials, Faculty of Sciences, Badji Mokhtar-Annaba University, P.O. Box 12, Annaba, 23000, Algeria.
Abdellatif Ben Makhlouf Department of Mathematics, College of Science, Jouf University, Aljouf, Saudi Arabia - Department of Mathematics, Faculty of Sciences of Sfax, Route Soukra, BP 1171, 3000 Sfax, Tunisia.
Mohamed Ali Hammami Department of Mathematics, Faculty of Sciences of Sfax, Route Soukra, BP 1171, 3000 Sfax, Tunisia.

Pages: 125–136
Date Published: 2020-04-18
Vol. 22 No. 1 (2020)

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