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Cubo (Temuco)

On-line version ISSN 0719-0646

Cubo vol.22 no.1 Temuco Apr. 2020 


On Katugampola fractional order derivatives and Darboux problem for differential equations

Djalal Boucenna1 

Abdellatif Ben Makhlouf2 

Mohamed Ali Hammami3 

1 Laboratory of Advanced Materials, Faculty of Sciences, Badji Mokhtar-Annaba University, P.O. Box 12, Annaba, 23000, Algeria.

2 Department of Mathematics, College of Science, Jouf University, Aljouf, Saudi ArabiaDepartment of Mathematics, Faculty of Sciences of Sfax, Route Soukra, BP 1171, 3000 Sfax, Tunisia

3 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.

Keywords and Phrases: Darboux problema; Fractional differential equations; Caputo-Katugampola derivative


En este artículo investigamos la existencia y unicidad de soluciones para el problema de Darboux de ecuaciones diferenciales parciales con derivada fraccional de Caputo-Katugampola.

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