On Katugampola fractional order derivatives and Darboux problem for differential equations
Djalal Boucenna,
Abdellatif Ben Makhlouf,
Mohamed Ali Hammami
Affiliations
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.
In this paper, we investigate the existence and uniqueness of solutions for the Darboux problem of partial differential equations with Caputo-Katugampola fractional derivative.