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Research Article | Open Access

On nonlinear fractional Hahn integrodifference equations via nonlocal fractional Hahn integral boundary conditions

Nichaphat Patanarapeelert1,2Jiraporn Reunsumrit1,2Thanin Sitthiwirattham2,3( )
Department of Mathematics, Faculty of Applied Science, King Mongkut's University of Technology North Bangkok, Bangkok 10800, Thailand
Research Group for Fractional Calculus Theory and Applications, Science and Technology Research Institute, King Mongkut's University of Technology North Bangkok, Bangkok 10800, Thailand
Mathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok 10300, Thailand
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Abstract

All authors Fractional Hahn differences and fractional Hahn integrals have various applications in fields where discrete fractional calculus plays a significant role, such as in discrete biological modeling and signal processing to handle systems with memory effects. In this study, the existence and uniqueness of solutions for a Riemann-Liouville fractional Hahn integrodifference equation with nonlocal fractional Hahn integral boundary conditions are investigated. To establish these results, we apply the Banach and Schauder fixed-point theorems. Furthermore, the Hyers-Ulam stability of solutions is studied.

CLC number: 34K10, 39A10, 39A11, 39A13, 39A70

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AIMS Mathematics
Pages 35016-35037

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Cite this article:
Patanarapeelert N, Reunsumrit J, Sitthiwirattham T. On nonlinear fractional Hahn integrodifference equations via nonlocal fractional Hahn integral boundary conditions. AIMS Mathematics, 2024, 9(12): 35016-35037. https://doi.org/10.3934/math.20241667

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Received: 23 October 2024
Revised: 03 December 2024
Accepted: 05 December 2024
Published: 15 December 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)