Existence and uniqueness of periodic solutions for some nonlinear fractional pantograph differential equations with $$\psi $$ -Caputo derivative

Arabian Journal of Mathematics - Tập 10 - Trang 575-587 - 2021
John Graef1, Mouffak Benchohra2, Soufyane Bouriah3, Djamal Foukrach3
1Department of Mathematics, University of Tennessee at Chattanooga, Chattanooga, USA
2Laboratory of Mathematics, University of Sidi Bel-Abbes, Sidi Bel-Abbés, Algeria
3Department of Mathematics, Faculty of Exact Sciences and Informatics, University Hassiba Benbouali of Chlef, Chlef, Algeria

Tóm tắt

The aim of this paper is to study the existence and uniqueness of periodic solutions for a certain type of nonlinear fractional pantograph differential equation with a $$\psi $$ -Caputo derivative. The proofs are based on the coincidence degree theory of Mawhin. To show the efficiency of the results, some illustrative examples are included.

Tài liệu tham khảo

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