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

Thongchai Dumrongpokaphan, Nichaphat Patanarapeelert and Thanin Sitthiwirattham
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Thongchai Dumrongpokaphan: Center of Excellence in Mathematics and Applied Mathematics, Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand
Nichaphat Patanarapeelert: Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok 10800, Thailand
Thanin Sitthiwirattham: Mathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok 10700, Thailand

Mathematics, 2018, vol. 7, issue 1, 1-21

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.

Keywords: fractional Hahn integral; Caputo fractional Hahn difference; boundary value problems; existence (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2018
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