Mouffak Benchohra, Soufyane Bouriah, John R. Graef
Abstract:
In this article, we obtain an existence result for periodic
solutions to nonlinear implicit fractional differential equations with
Caputo fractional derivatives. Our main tools is coincidence degree theory,
which was first introduced by Mawhin.
Also we present two examples to show the applicability of our results.
Submitted July 25, 2016. Published December 21, 2016.
Math Subject Classifications: 34A08, 34B15.
Key Words: Caputo's fractional derivative; fractional integral; existence;
implicit fractional differential equations; periodic solutions;
coincidence degree theory.
Show me the PDF file (217 KB), TEX file for this article.
 |
Mouffak Benchohra Laboratory of Mathematics University of Sidi Bel-Abbes, P.O. Box 89 Sidi Bel-Abbes 22000, Algeria email: benchohra@univ-sba.dz |
|---|---|
 |
Soufyane Bouriah Laboratory of Mathematics University of Sidi Bel-Abbes, P.O. Box 89 Sidi Bel-Abbes 22000, Algeria email: bouriahsoufiane@yahoo.fr |
 |
John R. Graef Department of Mathematics University of Tennessee at Chattanooga Chattanooga, TN 37403, USA email: john-graef@utc.edu |
Return to the EJDE web page