On nonlocal fractional symmetric Hanh integral boundary value problems for fractional symmetric Hahn integrodifference equation

Nichaphat Patanarapeelert; Thanin Sitthiwiratthame; Nichaphat Patanarapeelert; Thanin Sitthiwiratthame

doi:10.3934/math.2020231

AIMS Mathematics

2020, Volume 5, Issue 4: 3556-3572. doi: 10.3934/math.2020231

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Research article

On nonlocal fractional symmetric Hanh integral boundary value problems for fractional symmetric Hahn integrodifference equation

Nichaphat Patanarapeelert ¹,
Thanin Sitthiwiratthame ^{2
,
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1.
Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok, 10800, Thailand
2.
Mathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok, 10300, Thailand

Received: 28 November 2019 Accepted: 03 April 2020 Published: 10 April 2020
MSC : 39A10, 39A13, 39A70

In this paper, we propose a boundary value problems for fractional symmetric Hahn integrodifference equation. The problem contains two fractional symmetric Hahn difference operators and three fractional symmetric Hahn integral with different numbers of order. The existence and uniqueness result of problem is studied by using the Banach fixed point theorem. The existence of at least one solution is also studied, by using Schauder's fixed point theorem.
- fractional symmetric Hahn integral,
- Riemann-Liouville fractional symmetric Hahn difference,
- boundary value problems,
- existence
Citation: Nichaphat Patanarapeelert, Thanin Sitthiwiratthame. On nonlocal fractional symmetric Hanh integral boundary value problems for fractional symmetric Hahn integrodifference equation[J]. AIMS Mathematics, 2020, 5(4): 3556-3572. doi: 10.3934/math.2020231

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Abstract

In this paper, we propose a boundary value problems for fractional symmetric Hahn integrodifference equation. The problem contains two fractional symmetric Hahn difference operators and three fractional symmetric Hahn integral with different numbers of order. The existence and uniqueness result of problem is studied by using the Banach fixed point theorem. The existence of at least one solution is also studied, by using Schauder's fixed point theorem.

References

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