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Research Article | Open Access

On sequential fractional Caputo ( p , q )-integrodifference equations via three-point fractional Riemann-Liouville ( p , q )-difference boundary condition

Jarunee Soontharanon1Thanin Sitthiwirattham2( )
Department of Mathematics, Faculty of Applied Science, 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

In this paper, we aim to study the problem of a sequential fractional Caputo ( p , q )-integrodifference equation with three-point fractional Riemann-Liouville ( p , q )-difference boundary condition. We use some properties of ( p , q )-integral in this study and employ Banach fixed point theorems and Schauder's fixed point theorems to prove existence results of this problem.

CLC number: 39A10, 39A13, 39A70

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AIMS Mathematics
Pages 704-722

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Cite this article:
Soontharanon J, Sitthiwirattham T. On sequential fractional Caputo ( p , q )-integrodifference equations via three-point fractional Riemann-Liouville ( p , q )-difference boundary condition. AIMS Mathematics, 2022, 7(1): 704-722. https://doi.org/10.3934/math.2022044

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Received: 09 September 2021
Accepted: 14 October 2021
Published: 15 January 2022
©2022 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)