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On a system of finitely many nonlinear Riemann–Liouville fractional differential equations with fractional anti-periodic boundary conditions

  • Bashir Ahmad ORCID logo EMAIL logo , Hafed A. Saeed ORCID logo , Ahmed Alsaedi ORCID logo and Ravi P. Agarwal ORCID logo
Published/Copyright: November 1, 2025
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Abstract

In this paper, we introduce a coupled system of n nonlinear Riemann–Liouville fractional differential equations each of order in ( 2 , 3 ) and equipped with fractional anti-periodic boundary conditions. We explore the existence and uniqueness criteria for solutions of the given problem by means of Leray–Schauder’s alternative and Banach’s contraction mapping principle in a weighted space. The Ulam–Hyers stability is also studied for the problem at hand. Examples are presented to illustrate the main results.

MSC 2020: 34A08; 34B15

Acknowledgements

The authors thank the reviewers for their constructive remark on their work, which led to its improvement.

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Received: 2025-04-25
Revised: 2025-07-25
Accepted: 2025-09-12
Published Online: 2025-11-01

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