Existence results for an implicit anti-periodic ξ-fractional coupled system involving p-Laplacian operator via topological degree method

Walid Benhadda; M'hamed  Elomari; Abderrazak   Kassidi; Ali   El mfadel

doi:10.5269/bspm.70860

Existence results for an implicit anti-periodic ξ-fractional coupled system involving p-Laplacian operator via topological degree method

Implicit fractional coupled system with p−Laplacian operator

Walid Benhadda Laboratory of Applied Mathematics and Scientific Computing, Sultan Moulay Slimane University, Beni Mellal, Morocco.
M'hamed Elomari Laboratory of Applied Mathematics and Scientific Computing, Sultan Moulay Slimane University, Beni Mellal, Morocco.
Abderrazak Kassidi Laboratory of Applied Mathematics and Scientific Computing, Sultan Moulay Slimane University, Beni Mellal, Morocco.
Ali El mfadel Laboratory of Applied Mathematics and Scientific Computing, Sultan Moulay Slimane University, Beni Mellal, Morocco.

DOI: https://doi.org/10.5269/bspm.70860

Abstract

In this paper, we investigate the existence and uniqueness of solutions for implicit anti-periodic fractional coupled systems of ξ-Caputo fractional differential equations involving the p-Laplacian operator in a Banach space. Our approach is based on the topological degree method and the fixed point theorem under some appropriate assumptions. An example is provided in order to illustrate the theoretical results.