脉冲Caputo-Katugampola分数阶微分方程初值问题解的非唯一性

IF 0.2 Q4 MATHEMATICS, APPLIED

International Journal of Dynamical Systems and Differential Equations Pub Date : 2020-06-16 DOI:10.1504/ijdsde.2020.10030019

Xianmin Zhang

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引用次数: 0

摘要

本文主要考虑具有Caputo-Katugampola导数的脉冲分数阶微分方程(IFrDE)的初值问题(IVP)解的非唯一性。具有Caputo-Katugampola导数的IFrDE的IVP等价于具有任意常数的积分方程，这意味着解是非唯一的。最后，给出了一个数值算例来说明主要结果。

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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Non-uniqueness of solution for initial value problem of impulsive Caputo-Katugampola fractional differential equations

In this paper, the non-uniqueness of solution is mainly considered to the initial value problem (IVP) for the system of impulsive fractional differential equations (IFrDE) with Caputo-Katugampola derivative. The IVP for IFrDE with Caputo-Katugampola derivative is equivalent to the integral equations with an arbitrary constant, which means that the solution is non-unique. Finally, a numerical example is provided to show the main result.

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来源期刊

International Journal of Dynamical Systems and Differential Equations MATHEMATICS, APPLIED-

CiteScore

0.80

自引率

0.00%

发文量

期刊介绍： IJDSDE is a quarterly international journal that publishes original research papers of high quality in all areas related to dynamical systems and differential equations and their applications in biology, economics, engineering, physics, and other related areas of science. Manuscripts concerned with the development and application innovative mathematical tools and methods from dynamical systems and differential equations, are encouraged.