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Existence of solutions and Hyers-Ulam stability for κ-fractional iterative differential equations

  • Ho Vu and Ngo Van Hoa EMAIL logo
Published/Copyright: August 9, 2025
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Abstract

The aim of this paper is to establish the existence and uniqueness of solutions to the κ-fractional iterative differential equations (κ-FIDEs) using Schauder’s fixed point theorem. We also present the continuous dependence of the solution on the input data and a Hyers-Ulam stability analysis for this problem. Finally, some examples are provided to illustrate our main results.

Acknowledgement

The authors would like to sincerely thank the anonymous referees for their valuable comments and insightful suggestions, which have significantly enhanced the quality and clarity of this paper.

  1. (Communicated by Michal Fečkan)

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Received: 2024-11-12
Accepted: 2025-03-28
Published Online: 2025-08-09
Published in Print: 2025-08-26

© 2025 Mathematical Institute Slovak Academy of Sciences

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