Existence of solutions and successive approximations for Riez-Caputo fractional differential equations

Authors

  • Abdellatif Benchaib SDA laboratory Department of Mathematics, Faculty of Sciences, University of Tlemcen, Algeria.
  • Aicha Chouraqui SDA laboratory Department of Mathematics, Faculty of Sciences, University of Tlemcen, Algeria.
  • Abdelkrim Salim Faculty of Technology, Hassiba Benbouali University of Chlef, P.O. Box 151 Chlef 02000, Algeria.; Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbes, P.O. Box 89, Sidi Bel-Abbes 22000, Algeria.
  • Mouffak Benchohra Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbes, P.O. Box 89, Sidi Bel-Abbes 22000, Algeria.

Abstract

In this work, we investigate the existence and uniqueness results of a class of boundary value problems for fractional differential equations with Riesz-Caputo fractional derivative, we also present the succecive approximation of the solution. The results are based on the Banach contraction principle and Schauder's fixed point theorem.

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Published

2026-02-28

Issue

Vol. 33 No. 1 (2026): Nonlinear Studies

Section

Articles

License

Copyright (c) 2026 Abdellatif Benchaib, Aicha Chouraqui, Abdelkrim Salim, Mouffak Benchohra

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

How to Cite

Existence of solutions and successive approximations for Riez-Caputo fractional differential equations. (2026). Nonlinear Studies, 33(1), 135-148. https://www.nonlinearstudies.com/index.php/nonlinear/article/view/3983