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

被引：2

作者：

Zhang, Xian-Min ^{[1
]}

机构：

[1] Yangtze Normal Univ, Sch Math & Stat, Chongqing 408100, Peoples R China

来源：

INTERNATIONAL JOURNAL OF DYNAMICAL SYSTEMS AND DIFFERENTIAL EQUATIONS | 2022年 / 12卷 / 04期

基金：

中国国家自然科学基金;

关键词：

non-uniqueness of solution; impulsive fractional partial differential equations; IVPs; initial value problems; GENERAL-SOLUTION; INTEGRATION; EXISTENCE;

D O I：

10.1504/IJDSDE.2022.126527

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper mainly researches the formulas of solution for the initial value problems (IVPs) of two impulsive fractional partial differential equations (IFrPDEs). For these IVPs of IFrPDEs, some properties of their solutions are found, which uncover that the formulas of solutions given by some cited papers are inappropriate due to not meeting these properties. Next, by analysing errors between the approximate solutions and exact solutions, two new formulas of solution of these IVPs of IFrPDEs are discovered that are the integral equations with some undetermined differentiable functions, which illustrate the non-uniqueness of solution of the IVPs of IFrPDEs to be expounded by two examples.

引用

页码：316 / 338

页数：24

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