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Existence Results of a Coupled System of Caputo Fractional Hahn Difference Equations with Nonlocal Fractional Hahn Integral Boundary Value Conditions

1
Center of Excellence in Mathematics and Applied Mathematics, Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand
2
Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok 10800, Thailand
3
Mathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok 10700, Thailand
*
Authors to whom correspondence should be addressed.
Mathematics 2019, 7(1), 15; https://doi.org/10.3390/math7010015
Received: 26 November 2018 / Revised: 20 December 2018 / Accepted: 21 December 2018 / Published: 24 December 2018
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Abstract

In this article, we propose a coupled system of Caputo fractional Hahn difference equations with nonlocal fractional Hahn integral boundary conditions. The existence and uniqueness result of solution for the problem is studied by using the Banach’s fixed point theorem. Furthermore, the existence of at least one solution is presented by using the Schauder fixed point theorem. View Full-Text
Keywords: fractional Hahn integral; Caputo fractional Hahn difference; boundary value problems; existence fractional Hahn integral; Caputo fractional Hahn difference; boundary value problems; existence
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Dumrongpokaphan, T.; Patanarapeelert, N.; Sitthiwirattham, T. Existence Results of a Coupled System of Caputo Fractional Hahn Difference Equations with Nonlocal Fractional Hahn Integral Boundary Value Conditions. Mathematics 2019, 7, 15.

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