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On p-Laplacian boundary value problems involving Caputo-Katugampula fractional derivatives
Journal article   Peer reviewed

On p-Laplacian boundary value problems involving Caputo-Katugampula fractional derivatives

Mohammed M. Matar, Asma A. Lubbad and Jehad Alzabut
Mathematical methods in the applied sciences
28/05/2020
DOI: https://doi.org/10.1002/mma.6534

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
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.

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