A class of piecewise fractional functional differential equations with impulsive

IF 1.4 4区工程技术 Q2 ENGINEERING, MULTIDISCIPLINARY

International Journal of Nonlinear Sciences and Numerical Simulation Pub Date : 2022-11-01 DOI:10.1515/ijnsns-2021-0306

Mei Jia, Tingle Li, X. Liu

引用次数: 0

Abstract

Abstract In this paper, we study a class of piecewise fractional functional differential equations with impulsive and integral boundary conditions. By using Schauder fixed point theorem and contraction mapping principle, the results for existence and uniqueness of solutions for the piecewise fractional functional differential equations are established. And by using cone stretching and cone contraction fixed point theorems in norm form, the existence of positive solutions for the equations are also obtained. Finally, an example is given to illustrate the effectiveness of the conclusion.

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一类带脉冲的分段分数阶泛函微分方程

摘要本文研究了一类具有脉冲和积分边界条件的分段分数阶泛函微分方程。利用Schauder不动点定理和收缩映射原理，得到了分段分式泛函微分方程解的存在唯一性的结果。利用范数形式的锥伸缩不动点定理和锥收缩不动点定理，得到了方程正解的存在性。最后，通过实例说明了结论的有效性。

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.