On the new concept of solutions and existence results for impulsive fractional evolution equations
type: Item
instance of: scholarly article
title: On the new concept of solutions and existence results for impulsive fractional evolution equations
zbMATH Open document ID: 1264.34014
author: Jinrong Wang
author: Michal Fečkan
author: Yong Zhou
published in: Dynamics of Partial Differential Equations
publication date: 2012-12-30T00:00:00Z
review text: The paper is concerned with the existence of PC-mild solutions for Cauchy problems for impulsive fractional evolution equations involving the Caputo fractional derivative. The paper is organised as follows: following preliminaries, in which the authors introduce the notations and review existing literature, the authors present the concept of the PC-mild solution. They provide existence results for impulsive Cauchy problems and for impulsive nonlocal Cauchy problems and conclude the paper with some examples to illustrate the theory.
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34A12
Mathematics Subject Classification ID: 47J35
Mathematics Subject Classification ID: 34G20
zbMATH DE Number: 6119912
zbMATH Keywords: PC-mild solutions
zbMATH Keywords: impulsive conditions
zbMATH Keywords: fractional evolution equations
zbMATH Keywords: Caputo derivative
reviewed by: Neville J. Ford
MaRDI profile type: Publication
DOI: 10.4310/DPDE.2011.V8.N4.A3
description: scientific article; zbMATH DE number 6119912