Existence results of nonlocal Robin mixed Hahn and q-difference boundary value problems-Reference-Cited by-同舟云学术

Existence results of nonlocal Robin mixed Hahn and q-difference boundary value problems

Published:2020-06-15 Issue:1 Volume:2020 Page:
ISSN:1687-1847
Container-title:Advances in Difference Equations
language:en
Short-container-title:Adv Differ Equ

Author:

Dumrongpokaphan Thongchai,Patanarapeelert Nichaphat,Sitthiwirattham Thanin^ORCID

Abstract

AbstractIn this paper, we aim to study a nonlocal Robin boundary value problem for fractional sequential fractional Hahn-q-equation. The existence and uniqueness results for this problem are revealed by using the Banach fixed point theorem. In addition, the existence of at least one solution is studied by using Schauder’s fixed point theorem. The theorems for existence results are obtained.

Funder

King Mongkut's University of Technology North Bangkok

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Algebra and Number Theory,Analysis

Link

https://link.springer.com/content/pdf/10.1186/s13662-020-02756-0.pdf

Reference60 articles.

1. Jackson, F.H.: On q-difference equations. Am. J. Math. 32, 305–314 (1910)

2. Carmichael, R.D.: The general theory of linear q-difference equations. Am. J. Math. 34, 147–168 (1912)

3. Mason, T.E.: On properties of the solutions of linear q-difference equations with entire function coefficients. Am. J. Math. 37, 439–444 (1915)

4. Hamza, A.E., Sarhan, A.M., Shehata, E.M., Aldwoah, K.A.: A general quantum difference calculus. Adv. Differ. Equ. 2015, Article ID 182 (2015)

5. Al-Salam, W.A.: Some fractional q-integrals and q-derivatives. Proc. Edinb. Math. Soc. 15(2), 135–140 (1966/1967)

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Iterative Positive Solutions to a Coupled Riemann-Liouville Fractional $q$ -Difference System with the Caputo Fractional $q$ -Derivative Boundary Conditions;Journal of Function Spaces;2023-03-23