Non-uniqueness of solution for initial value problem of impulsive Caputo-Katugampola fractional differential equations
type: Item
instance of: scholarly article
title: Non-uniqueness of solution for initial value problem of impulsive Caputo-Katugampola fractional differential equations
zbMATH Open document ID: 1474.34060
DOI: 10.1504/IJDSDE.2020.107805
author: Xian-Min Zhang
published in: International Journal of Dynamical Systems and Differential Equations
publication date: 2021-04-22T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34K37
Mathematics Subject Classification ID: 26A33
zbMATH DE Number: 7336621
zbMATH Keywords: fractional differential equation
zbMATH Keywords: impulsive fractional differential equation
zbMATH Keywords: impulse
zbMATH Keywords: Caputo-Katugampola derivative
MaRDI profile type: Publication
full work available at URL: ijdsde.2020.107805
OpenAlex ID: W4229964974
description: scientific article; zbMATH DE number 7336621