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Search Results (3)

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Keywords = fractional symmetric Hahn

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17 pages, 338 KiB  
Article
Nonlocal Neumann Boundary Value Problem for Fractional Symmetric Hahn Integrodifference Equations
by Thongchai Dumrongpokaphan, Nichaphat Patanarapeelert and Thanin Sitthiwirattham
Symmetry 2021, 13(12), 2303; https://doi.org/10.3390/sym13122303 - 2 Dec 2021
Cited by 1 | Viewed by 1423
Abstract
In this article, we present a nonlocal Neumann boundary value problems for separate sequential fractional symmetric Hahn integrodifference equation. The problem contains five fractional symmetric Hahn difference operators and one fractional symmetric Hahn integral of different orders. We employ Banach fixed point theorem [...] Read more.
In this article, we present a nonlocal Neumann boundary value problems for separate sequential fractional symmetric Hahn integrodifference equation. The problem contains five fractional symmetric Hahn difference operators and one fractional symmetric Hahn integral of different orders. We employ Banach fixed point theorem and Schauder’s fixed point theorem to study the existence results of the problem. Full article
(This article belongs to the Special Issue Differential/Difference Equations and Its Application)
16 pages, 330 KiB  
Article
Existence Results of a Nonlocal Fractional Symmetric Hahn Integrodifference Boundary Value Problem
by Rujira Ouncharoen, Nichaphat Patanarapeelert and Thanin Sitthiwirattham
Symmetry 2021, 13(11), 2174; https://doi.org/10.3390/sym13112174 - 12 Nov 2021
Viewed by 1443
Abstract
The existence of solutions of nonlocal fractional symmetric Hahn integrodifference boundary value problem is studied. We propose a problem of five fractional symmetric Hahn difference operators and three fractional symmetric Hahn integrals of different orders. We first convert our nonlinear problem into a [...] Read more.
The existence of solutions of nonlocal fractional symmetric Hahn integrodifference boundary value problem is studied. We propose a problem of five fractional symmetric Hahn difference operators and three fractional symmetric Hahn integrals of different orders. We first convert our nonlinear problem into a fixed point problem by considering a linear variant of the problem. When the fixed point operator is available, Banach and Schauder’s fixed point theorems are used to prove the existence results of our problem. Some properties of (q,ω)-integral are also presented in this paper as a tool for our calculations. Finally, an example is also constructed to illustrate the main results. Full article
(This article belongs to the Special Issue Symmetries of Difference Equations, Special Functions and Orthogonal Polynomials)
18 pages, 297 KiB  
Article
On Fractional Symmetric Hahn Calculus
by Nichaphat Patanarapeelert and Thanin Sitthiwirattham
Mathematics 2019, 7(10), 873; https://doi.org/10.3390/math7100873 - 20 Sep 2019
Cited by 7 | Viewed by 2191
Abstract
In this paper, we study fractional symmetric Hahn difference calculus. The new idea of the symmetric Hahn difference operator, the fractional symmetric Hahn integral, and the fractional symmetric Hahn operators of Riemann–Liouville and Caputo types are presented. In addition, we formulate some fundamental [...] Read more.
In this paper, we study fractional symmetric Hahn difference calculus. The new idea of the symmetric Hahn difference operator, the fractional symmetric Hahn integral, and the fractional symmetric Hahn operators of Riemann–Liouville and Caputo types are presented. In addition, we formulate some fundamental properties based on these fractional symmetric Hahn operators. Full article
(This article belongs to the Special Issue Advances in Differential and Difference Equations with Applications 2020)
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