Local and global existence of mild solution to impulsive fractional semilinear integro-differential equation with noncompact semigroup
type: Item
instance of: scholarly article
title: Local and global existence of mild solution to impulsive fractional semilinear integro-differential equation with noncompact semigroup
zbMATH Open document ID: 1473.34046
author: Haide Gou
author: Baolin Li
published in: Communications in Nonlinear Science and Numerical Simulation
publication date: 2020-10-07T00:00:00Z
Mathematics Subject Classification ID: 34K30
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 34K37
Mathematics Subject Classification ID: 34K45
Mathematics Subject Classification ID: 45J05
Mathematics Subject Classification ID: 47H10
zbMATH DE Number: 7257085
zbMATH Keywords: mild solutions
zbMATH Keywords: Impulsive fractional integro-differential equations
zbMATH Keywords: equicontinuous semi-group
Wikidata QID: Q115358630
MaRDI profile type: Publication
full work available at URL: j.cnsns.2016.05.021
OpenAlex ID: W2398502334
cites work: Fractional differential equations and the Schrödinger equation
cites work: Q3603935
cites work: A survey on existence results for boundary value problems of nonlinear fractional differential equations and inclusions
cites work: Semilinear integro-differential equations with compact semigroups
cites work: On the solution set for a class of sequential fractional differential equations
cites work: An existence result for a superlinear fractional differential equation
cites work: Q3445966
cites work: A semilinear parabolic Volterra integrodifferential equation
cites work: The existence and uniqueness of mild solutions for fractional differential equations with nonlocal conditions of order \(1<\alpha<2\)
cites work: Local and global existence of mild solutions for impulsive fractional semilinear integro-differential equation
cites work: The existence of mild solutions for impulsive fractional partial differential equations
cites work: On recent developments in the theory of abstract differential equations with fractional derivatives
cites work: Existence of the mild solution for fractional semilinear initial value problems
cites work: Existence of mild solutions for fractional delay evolution systems
cites work: A class of fractional evolution equations and optimal controls
cites work: On the solvability and optimal controls of fractional integrodifferential evolution systems with infinite delay
cites work: Optimal feedback control for semilinear fractional evolution equations in Banach spaces
cites work: Q3074220
cites work: Asymptotic behavior of solutions of some semilinear functional differential and integro-differential equations with infinite delay in Banach spaces
cites work: Q5185568
cites work: Q3883053
cites work: Q5430245
cites work: On the behaviour of measures of noncompactness with respect to differentiation and integration of vector-valued functions
cites work: Some probability densities and fundamental solutions of fractional evolution equations
DOI: 10.1016/J.CNSNS.2016.05.021
description: scientific article; zbMATH DE number 7257085