Next Article in Journal
Improving A/B Testing on the Basis of Possibilistic Reward Methods: A Numerical Analysis
Next Article in Special Issue
Integrable Nonlocal PT-Symmetric Modified Korteweg-de Vries Equations Associated with so(3, \({\mathbb{R}}\))
Previous Article in Journal
Asymptotic Results for Multinomial Models
 
 
Search for Articles:
Title / Keyword
Author / Affiliation / Email
Journal
Article Type
 
 
Advanced Search
 
Section
Special Issue
Volume
Issue
Number
Page
 
Journals
Symmetry
Volume 13
Issue 11
10.3390/sym13112174
symmetry-logo
Submit to this Journal Review for this Journal Propose a Special Issue
► Article Menu

Article Menu

share Share announcement Help format_quote Cite question_answer Discuss in SciProfiles
first_page
settings
Order Article Reprints
Font Type:
Arial Georgia Verdana
Font Size:
Aa Aa Aa
Line Spacing:
Column Width:
Background:
Article

Existence Results of a Nonlocal Fractional Symmetric Hahn Integrodifference Boundary Value Problem

by
Rujira Ouncharoen
1,
Nichaphat Patanarapeelert
2,* and
Thanin Sitthiwirattham
3,*
1
Research Group 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 10300, Thailand
*
Authors to whom correspondence should be addressed.
Symmetry 2021, 13(11), 2174; https://doi.org/10.3390/sym13112174
Submission received: 17 October 2021 / Revised: 3 November 2021 / Accepted: 4 November 2021 / Published: 12 November 2021
(This article belongs to the Special Issue Symmetries of Difference Equations, Special Functions and Orthogonal Polynomials)
Versions Notes

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 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.
Keywords: fractional symmetric Hahn; boundary value problems; existence; fixed point theorem fractional symmetric Hahn; boundary value problems; existence; fixed point theorem

Share and Cite

MDPI and ACS Style

Ouncharoen, R.; Patanarapeelert, N.; Sitthiwirattham, T. Existence Results of a Nonlocal Fractional Symmetric Hahn Integrodifference Boundary Value Problem. Symmetry 2021, 13, 2174. https://doi.org/10.3390/sym13112174

AMA Style

Ouncharoen R, Patanarapeelert N, Sitthiwirattham T. Existence Results of a Nonlocal Fractional Symmetric Hahn Integrodifference Boundary Value Problem. Symmetry. 2021; 13(11):2174. https://doi.org/10.3390/sym13112174

Chicago/Turabian Style

Ouncharoen, Rujira, Nichaphat Patanarapeelert, and Thanin Sitthiwirattham. 2021. "Existence Results of a Nonlocal Fractional Symmetric Hahn Integrodifference Boundary Value Problem" Symmetry 13, no. 11: 2174. https://doi.org/10.3390/sym13112174

APA Style

Ouncharoen, R., Patanarapeelert, N., & Sitthiwirattham, T. (2021). Existence Results of a Nonlocal Fractional Symmetric Hahn Integrodifference Boundary Value Problem. Symmetry, 13(11), 2174. https://doi.org/10.3390/sym13112174

Note that from the first issue of 2016, this journal uses article numbers instead of page numbers. See further details here.

Article Metrics

Back to TopTop