具有非局部分数积分多点耦合边界条件的非线性Riemann-Liouville耦合积分-微分系统的研究

IF 1.4 4区工程技术 Q2 ENGINEERING, MULTIDISCIPLINARY

International Journal of Nonlinear Sciences and Numerical Simulation Pub Date : 2022-10-13 DOI:10.1515/ijnsns-2021-0271

B. Ahmad, A. Alsaedi, Badra S. Alghamdi

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引用次数: 0

摘要

讨论了一类具有非局部分数积分多点耦合边界条件的非线性耦合Riemann-Liouville分数积分微分方程边值问题解的存在性。现代功能分析的标准工具被用来得出当前问题的期望结果。讨论了黎曼-刘维尔分数阶积分的非线性情况。举例说明了所得结果。

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A study of a nonlinear Riemann–Liouville coupled integro-differential system with coupled nonlocal fractional integro-multipoint boundary conditions

Abstract We discuss the existence of solutions for a boundary value problem of nonlinear coupled Riemann–Liouville fractional integro-differential equations equipped with coupled nonlocal fractional integro-multipoint boundary conditions. The standard tools of the modern functional analysis are employed to derive the desired results for the problem at hand. The case of nonlinearities depending on the Riemann–Liouville fractional integrals is also discussed. Examples illustrating the obtained results are presented.

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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.