Existence and uniqueness of mild solution for fractional integrodifferential equations
type: Item
instance of: scholarly article
title: Existence and uniqueness of mild solution for fractional integrodifferential equations
zbMATH Open document ID: 1198.45015
DOI: 10.1155/2010/158789
author: Fang Li
author: G. M. N'Guérékata
published in: Advances in Difference Equations
publication date: 2010-09-27T00:00:00Z
Mathematics Subject Classification ID: 45N05
Mathematics Subject Classification ID: 45J05
Mathematics Subject Classification ID: 45G10
Mathematics Subject Classification ID: 26A33
zbMATH DE Number: 5791573
zbMATH Keywords: mild solution
zbMATH Keywords: nonlinear fractional integrodifferential equations
zbMATH Keywords: Banach space
zbMATH Keywords: fixed point theorem
Wikidata QID: Q59254611
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2010/158789
OpenAlex ID: W2101417632
cites work: Q3551376
cites work: Positive almost automorphic solutions for a class of non-linear delay integral equations
cites work: Existence of positive almost automorphic solutions to nonlinear delay integral equations
cites work: Q3606284
cites work: Approximation theorems for the propagators of higher order abstract Cauchy problems
cites work: Semilinear integrodifferential equations with nonlocal initial conditions
cites work: The Cauchy problem for higher-order abstract differential equations
cites work: Approximations of Laplace transforms and integrated semigroups
cites work: Second order differential operators with Feller-Wentzell type boundary conditions
cites work: Blow-up and global existence of solutions to integral equations with infinite delay in Banach spaces
cites work: Time dependent Desch-Schappacher type perturbations of Volterra integral equations
cites work: Applications of fractional calculus in physics
cites work: Fractional functional differential inclusions with finite delay
cites work: Theory of fractional functional differential equations
cites work: Basic theory of fractional differential equations
cites work: Existence for a class of partial differential equations with nonlocal conditions
cites work: Q3141902
cites work: A Cauchy problem for some fractional abstract differential equation with non local conditions
cites work: Existence of the mild solution for some fractional differential equations with nonlocal conditions
cites work: A note on a semilinear fractional differential equation of neutral type with infinite delay
cites work: A Cauchy problem for abstract fractional differential equations with infinite delay
cites work: Some probability densities and fundamental solutions of fractional evolution equations
cites work: Q3436655
cites work: Nonlocal Cauchy problems for semilinear evolution equations
cites work: Solvability of the Cauchy problem for infinite delay equations
cites work: Semigroups of linear operators and applications to partial differential equations
cites work: Existence of classical solutions to nonautonomous nonlocal parabolic problems
description: scientific article; zbMATH DE number 5791573