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Article

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

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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
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
MDPI and ACS Style

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. https://doi.org/10.3390/math7010015

AMA Style

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(1):15. https://doi.org/10.3390/math7010015

Chicago/Turabian Style

Dumrongpokaphan, Thongchai, Nichaphat Patanarapeelert, and Thanin Sitthiwirattham. 2019. "Existence Results of a Coupled System of Caputo Fractional Hahn Difference Equations with Nonlocal Fractional Hahn Integral Boundary Value Conditions" Mathematics 7, no. 1: 15. https://doi.org/10.3390/math7010015

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