Local and global existence of mild solutions for impulsive fractional semilinear integro-differential equation
type: Item
instance of: scholarly article
title: Local and global existence of mild solutions for impulsive fractional semilinear integro-differential equation
zbMATH Open document ID: 1223.45009
published in: Communications in Nonlinear Science and Numerical Simulation
publication date: 2011-08-19T00:00:00Z
review text: The paper is devoted to providing sufficient conditions for the existence of (local or global) solutions to a class of impulsive semilinear integro-differential equations of fractional order in Banach spaces. It appears that the fractional derivatives under consideration are of Caputo's type.
reviewed by: Kai Diethelm
Mathematics Subject Classification ID: 45N05
Mathematics Subject Classification ID: 45J05
zbMATH DE Number: 5940326
zbMATH Keywords: mild solution
zbMATH Keywords: compact semigroup
zbMATH Keywords: fractional calculus
zbMATH Keywords: Banach space
zbMATH Keywords: Caputo derivative
zbMATH Keywords: impulsive semilinear integro-differential equations of fractional order
Wikidata QID: Q115358723
author: Mohammad H. M. Rashid
author: A. Al-Omari
MaRDI profile type: Publication
full work available at URL: j.cnsns.2010.12.043
OpenAlex ID: W2090466115
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DOI: 10.1016/J.CNSNS.2010.12.043
description: scientific article; zbMATH DE number 5940326