Nonlinear Fractional q-Difference Equation with Fractional Hadamard and Quantum Integral Nonlocal Conditions-Reference-Cited by-同舟云学术

Nonlinear Fractional q-Difference Equation with Fractional Hadamard and Quantum Integral Nonlocal Conditions

Published:2020-10-05 Issue: Volume:2020 Page:1-10
ISSN:2314-8896
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Wongcharoen Athasit¹,Thatsatian Arisa²,Ntouyas Sotiris K.³⁴^ORCID,Tariboon Jessada⁵^ORCID

Affiliation:

1. Department of Mechanical Engineering Technology, College of Industrial Engineering Technology, King Mongkut's University of Technology North Bangkok, Bangkok 10800, Thailand

2. Department of General Educations, Merchant Marine Training Centre, Bang Nang Kreng, Sukhumvit Rd., Samutprakarn 10270, Thailand

3. Department of Mathematics, University of Ioannina, 451 10 Ioannina, Greece

4. Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia

5. Intelligent and Nonlinear Dynamic Innovations, Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok 10800, Thailand

Abstract

In this paper, we establish existence and uniqueness results for a boundary value problem consisting by a nonlinear fractional q-difference equation subject to a new type of boundary condition, combining the fractional Hadamard and quantum integrals. Our analysis is based on Banach’s fixed point theorem, a fixed point theorem for nonlinear contractions, Krasnosel’ski i˘’s fixed point theorem, and Leray-Schauder nonlinear alternative. Examples are given to illustrate our results.

Funder

King Mongkut's University of Technology North Bangkok

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2020/9831752.pdf

Reference30 articles.

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3. Nonlocal Hadamard fractional boundary value problem with Hadamard integral and discrete boundary conditions on a half-line