The pantograph equation with nonlocal conditions via Katugampola fractional derivative

Yasmine  BAHOUS; Zakaria  BEKKOUCHE; Nabil BEDJAOUI; Zoubir  DAHMANI

doi:10.26637/mjm1103/008

Abstract

We study a Pantograph-type equation with Katugampola fractional derivatives. Under nonlocal conditions, we establish some existence and uniqueness results for the problem. Then, some other main results are proved by introducing new definitions related to ULAM stability.

Keywords:

Caputo derivative, Lane Emden equation, existence of solutions

Mathematics Subject Classification:

30C45, 39B72, 39B82

Authors Imprint References Funding Related Articles Downloads

Yasmine BAHOUS Laboratory of Pure and Applied Mathematics, Faculty of FSEI, UMAB, University of Mostaganem, 27000, Algeria.
Zakaria BEKKOUCHE Laboratory of Pure and Applied Mathematics, Faculty of FSEI, UMAB, University of Mostaganem, 27000, Algeria.
Nabil BEDJAOUI LAMFA, University of Picardie Jules Verne, France. https://orcid.org/0000-0001-7188-7970
Zoubir DAHMANI Laboratory of Pure and Applied Mathematics, Faculty of FSEI, UMAB, University of Mostaganem, 27000, Algeria.

Pages: 312-323
Date Published: 01-07-2023
Vol. 11 No. 03 (2023): Malaya Journal of Matematik (MJM)

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