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On p–Laplacian boundary value problems involving Caputo–Katugampula fractional derivatives.

Authors :
Matar, Mohammed M.
Lubbad, Asma A.
Alzabut, Jehad
Source :
Mathematical Methods in the Applied Sciences. 9/15/2024, Vol. 47 Issue 13, p10799-10816. 18p.
Publication Year :
2024

Abstract

In this paper, we study the existence and uniqueness of solutions for a p–Laplacian boundary value problem defined by semilinear fractional system that involves Caputo–Katugampola fractional derivatives. Our main results rely on the implementation of the Banach and Schauder fixed point theorems. An example is introduced to expose the applicability of the theoretical findings. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
01704214
Volume :
47
Issue :
13
Database :
Academic Search Index
Journal :
Mathematical Methods in the Applied Sciences
Publication Type :
Academic Journal
Accession number :
179070641
Full Text :
https://doi.org/10.1002/mma.6534