Existence Theory forq-Antiperiodic Boundary Value Problems of Sequentialq-Fractional Integrodifferential Equations-Reference-Cited by-同舟云学术

Existence Theory forq-Antiperiodic Boundary Value Problems of Sequentialq-Fractional Integrodifferential Equations

Published:2014 Issue: Volume:2014 Page:1-12
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Agarwal Ravi P.¹²,Ahmad Bashir²,Alsaedi Ahmed²,Al-Hutami Hana²^ORCID

Affiliation:

1. Department of Mathematics, Texas A&M University, Kingsville, TX 78363-8202, USA

2. Nonlinear Analysis and Applied Mathematics Research Group (NAAM), King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia

Abstract

We discuss the existence and uniqueness of solutions for a new class of sequentialq-fractional integrodifferential equations withq-antiperiodic boundary conditions. Our results rely on the standard tools of fixed-point theory such as Krasnoselskii's fixed-point theorem, Leray-Schauder nonlinear alternative, and Banach's contraction principle. An illustrative example is also presented.

Funder

Deanship of Scientific Research

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2014/207547.pdf

Reference39 articles.

1. Mathematics in Science and Engineering,1999

2. North-Holland Mathematics Studies,2006

3. On Lp-solutions for a class of sequential fractional differential equations

Cited by 7 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. Solvability and Ulam–Hyers–Rassias stability for generalized sequential quantum fractional pantograph equations;Partial Differential Equations in Applied Mathematics;2024-03

2. Existence of Positive Solutions for Coupled Fractional Q-difference Problem with Coupled Integral Boundary Conditions*;2023 5th International Conference on Industrial Artificial Intelligence (IAI);2023-08-21

3. Existence and stability analysis for a class of fractional pantograph q-difference equations with nonlocal boundary conditions;Boundary Value Problems;2023-01-11

4. Positive Solutions for a Class of Fractional Boundary Value Problem with q-Derivatives;Mediterranean Journal of Mathematics;2019-08-14

5. The unique solution for a fractionalq-difference equation with three-point boundary conditions;Indagationes Mathematicae;2018-06