Existence results for an implicit anti-periodic Î¾-fractional coupled system involving p-Laplacian operator via topological degree method: Implicit fractional coupled system with pâˆ’Laplacian operator

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

doi:10.5269/bspm.70860

Existence results for an implicit anti-periodic Î¾-fractional coupled system involving p-Laplacian operator via topological degree method

Implicit fractional coupled system with pâˆ’Laplacian operator

Auteurs-es

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

Résumé

In this paper, we investigate the existence and uniqueness of solutions for implicit anti-periodic fractional coupled systems of Î¾-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.

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Publié

2025-09-30

Numéro

Vol. 43 (2025)

Rubrique

Research Articles

Licence

When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).

The journal utilize the Creative Common Attribution (CC-BY 4.0).

Comment citer

Benhadda, W., Elomari, M. ., Kassidi, A. . ., & El mfadel, A. . . (2025). Existence results for an implicit anti-periodic Î¾-fractional coupled system involving p-Laplacian operator via topological degree method: Implicit fractional coupled system with pâˆ’Laplacian operator. Boletim Da Sociedade Paranaense De Matemática, 43, 1-12. https://doi.org/10.5269/bspm.70860