Non-uniqueness of solution for initial value problem of impulsive fractional partial differential equations
type: Item
instance of: scholarly article
title: Non-uniqueness of solution for initial value problem of impulsive fractional partial differential equations
zbMATH Open document ID: 1502.35198
author: Xian-Min Zhang
published in: International Journal of Dynamical Systems and Differential Equations
publication date: 2022-12-13T00:00:00Z
full work available at URL: IJDSDE.2022.126527
review text: Summary: 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.
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 35R12
Mathematics Subject Classification ID: 26A33
zbMATH DE Number: 7632183
zbMATH Keywords: non-uniqueness of solution
zbMATH Keywords: impulsive fractional partial differential equations
zbMATH Keywords: initial value problems
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 7632183