Weak Solutions of Coupled Caputo Type Modification of the Erdélyi-Kober Implicit Fractional Differential Systems with Retarded and Advanced Arguments

Authors

  • Mokhtar Boumaaza
  • Mouffak Benchohra
  • Juan J. Trujillo

Keywords:

Erd´elyi-Kober derivative, retardation, anticipation, fixed point, coupled systems.

Abstract

In this paper, we investigate the existence of weak solutions for some coupled systems of fractional Caputo-type modification of the Erdelyi-Kober differential equations with retardation and anticipation. Our approach is based on M¨onch’s fixed point theorem associated with the technique of measure of weak noncompactness. Finally, an example of our results is provided.

Key words and phrases. Erd´elyi-Kober derivative, retardation, anticipation, fixed point, coupled systems.

2000 Mathematics Subject Classification. 40H05, 46A45

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Published

2025-05-18

How to Cite

Mokhtar Boumaaza, Mouffak Benchohra, & Juan J. Trujillo. (2025). Weak Solutions of Coupled Caputo Type Modification of the Erdélyi-Kober Implicit Fractional Differential Systems with Retarded and Advanced Arguments. Jordan Journal of Mathematics and Statistics, 15(1), 15–31. Retrieved from https://jjms.yu.edu.jo/index.php/jjms/article/view/761

Issue

Vol. 15 No. 1 (2022)

Section

Articles