脉冲分数阶微分方程拓扑度法解的存在性

IF 0.3 Q4 MATHEMATICS, APPLIED Journal of the Korean Society for Industrial and Applied Mathematics Pub Date : 2021-01-01 DOI:10.12941/JKSIAM.2021.25.016

Taghareed A. Faree, S. K. Panchal

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引用次数: 5

摘要

利用拓扑结构研究了Banach空间中涉及Caputo分数阶导数的脉冲Cauchy问题解的存在性。基于拓扑度方法和不动点定理，给出了一些合适的条件。进一步，考虑了解集的一些拓扑性质。最后，给出了一个算例来验证我们的结果。

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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EXISTENCE OF SOLUTION FOR IMPULSIVE FRACTIONAL DIFFERENTIAL EQUATIONS VIA TOPOLOGICAL DEGREE METHOD

This paper is studied the existence of a solution for the impulsive Cauchy problem involving the Caputo fractional derivative in Banach space by using topological structures. We based on using topological degree method and fixed point theorem with some suitable conditions. Further, some topological properties for the set of solutions are considered. Finally, an example is presented to demonstrate our results.

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来源期刊

Journal of the Korean Society for Industrial and Applied Mathematics MATHEMATICS, APPLIED-

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33.30%

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