A new generalized approach to study the existence of solutions of nonlinear fractional boundary value problems

IF 1.4 4区工程技术 Q2 ENGINEERING, MULTIDISCIPLINARY

International Journal of Nonlinear Sciences and Numerical Simulation Pub Date : 2022-07-04 DOI:10.1515/ijnsns-2021-0338

Asmat Batool, Imran Talib, Rym Bourguiba, I. Suwan, T. Abdeljawad, M. Riaz

引用次数: 1

Abstract

Abstract In this paper, we construct a new generalized result to study the existence of solutions of nonlinear fractional boundary value problems (FBVPs). The proposed results unify the existence criteria of certain FBVPs including periodic and antiperiodic as special cases that have been previously studied separately in the literature. The method we employ is topological in its nature and manifests themselves in the forms of differential inequalities (lower and upper solutions, and coupled lower and upper solutions (CLUSs)). Two examples are given to demonstrate the applicability of the developed theoretical results.

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研究非线性分式边值问题解存在性的一种新的广义方法

摘要本文构造了一个新的广义结果来研究非线性分数边值问题（FBVP）解的存在性。所提出的结果统一了某些FBVP的存在标准，包括作为特殊情况的周期性和反周期性，这些特殊情况在文献中已经单独研究过。我们使用的方法本质上是拓扑的，表现为微分不等式的形式（上下解，以及上下耦合解（CLUS））。通过两个算例验证了理论结果的适用性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

International Journal of Nonlinear Sciences and Numerical Simulation 工程技术-工程：综合

CiteScore

2.80

自引率

6.70%

发文量

117

审稿时长

13.7 months

期刊介绍： The International Journal of Nonlinear Sciences and Numerical Simulation publishes original papers on all subjects relevant to nonlinear sciences and numerical simulation. The journal is directed at Researchers in Nonlinear Sciences, Engineers, and Computational Scientists, Economists, and others, who either study the nature of nonlinear problems or conduct numerical simulations of nonlinear problems.