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ISSN:2164-6376 (print)
ISSN:2164-6414 (online)
Discontinuity, Nonlinearity, and Complexity

Dimitry Volchenkov (editor), Dumitru Baleanu (editor)

Dimitry Volchenkov(editor)

Mathematics & Statistics, Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409, USA

Email: dr.volchenkov@gmail.com

Dumitru Baleanu (editor)

Cankaya University, Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania

Email: dumitru.baleanu@gmail.com

Existence and Uniqueness of Periodic Solutions for Some Nonlinear $psi-$Hilfer Fractional Coupled Systems

Discontinuity, Nonlinearity, and Complexity 13(3) (2024) 567--592 | DOI:10.5890/DNC.2024.09.014

Soufyane Bouriah, Abdelkrim Salim, Mouffak Benchohra

Faculty of Technology, Hassiba Benbouali University of Chlef, P.O. Box 151 Chlef 02000, Algeria

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Abstract

The main goal of this paper is to study the existence and uniqueness of periodic solutions for some class of nonlinear fractional coupled systems with $\psi-$Hilfer derivative. The proofs are based upon the coincidence degree theory of Mawhin with several types of conditions. To show the efficiency of the stated result, illustrative examples will be given.

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