Existence and uniqueness of mild solutions for fractional partial integro-differential equations
type: Item
instance of: scholarly article
title: Existence and uniqueness of mild solutions for fractional partial integro-differential equations
zbMATH Open document ID: 1452.35248
author: Bo Zhu
author: Baoyan Han
published in: Mediterranean Journal of Mathematics
publication date: 2020-07-14T00:00:00Z
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 35A01
Mathematics Subject Classification ID: 35A02
Mathematics Subject Classification ID: 35A24
Mathematics Subject Classification ID: 34G20
zbMATH DE Number: 7220353
zbMATH Keywords: nonlinear time fractional partial integro-differential equation
zbMATH Keywords: solution operator
zbMATH Keywords: measure of noncompactness
zbMATH Keywords: general Banach contraction mapping principle
zbMATH Keywords: convex-power condensing operator
MaRDI profile type: Publication
full work available at URL: s00009-020-01550-2
OpenAlex ID: W3037359462
cites work: A survey on fuzzy fractional differential and optimal control nonlocal evolution equations
cites work: ILC method for solving approximate controllability of fractional differential equations with noninstantaneous impulses
cites work: Study on fractional non-autonomous evolution equations with delay
cites work: Existence of non-trivial solutions for nonlinear fractional Schrödinger-Poisson equations
cites work: Cauchy problem for fractional non-autonomous evolution equations
cites work: Stability of noninstantaneous impulsive evolution equations
cites work: A class of nonlinear non-instantaneous impulsive differential equations involving parameters and fractional order
cites work: Approximation technique for fractional evolution equations with nonlocal integral conditions
cites work: A blowup alternative result for fractional nonautonomous evolution equation of Volterra type
cites work: Nonlocal problem for fractional stochastic evolution equations with solution operators
cites work: Approximate controllability of non-autonomous evolution system with nonlocal conditions
cites work: Positive solutions for a system of fractional integral boundary value problems involving Hadamard-type fractional derivatives
cites work: POSITIVE SOLUTIONS FOR A NONLINEAR DISCRETE FRACTIONAL BOUNDARY VALUE PROBLEM WITH A $ P $ -LAPLACIAN OPERATOR
cites work: Uniqueness of solution for higher-order fractional differential equations with conjugate type integral conditions
cites work: Q3466975
cites work: Fractional non-autonomous evolution equation with nonlocal conditions
cites work: Non-autonomous evolution equations of parabolic type with non-instantaneous impulses
cites work: Non-autonomous parabolic evolution equations with non-instantaneous impulses governed by noncompact evolution families
cites work: Existence and uniqueness of the solutions for a class of nonlinear fractional order partial differential equations with delay
cites work: Local and global existence of mild solutions for a class of nonlinear fractional reaction-diffusion equations with delay
cites work: Existence and uniqueness of global mild solutions for a class of nonlinear fractional reaction-diffusion equations with delay
cites work: Q3904867
cites work: Solutions of nonlinear integrodifferential equations of mixed type in Banach spaces
cites work: The functional calculus for sectorial operators
cites work: On fractional integro-differential equations with state-dependent delay
cites work: Existence theorems of global solutions of initial value problems for nonlinear integrodifferential equations of mixed type in Banach spaces and applications
cites work: Existence theorems of global solutions for nonlinear Volterra type integral equations in Banach spaces
cites work: Sadovskii-Krasnosel'skii type fixed point theorems in Banach spaces with application to evolution equations
cites work: A unified approach to nonlocal impulsive differential equations with the measure of noncompactness
cites work: Q3883053
cites work: Local and global existence of mild solutions for a class of semilinear fractional integro-differential equations
DOI: 10.1007/S00009-020-01550-2
Recommended article: Q5368288
Recommended article: Existence result for nonlinear fractional differential equations with nonlocal fractional integro-differential boundary conditions in Banach spaces
Recommended article: A finite difference scheme for the nonlinear time‐fractional partial integro‐differential equation
Recommended article: Nonsymmetric interior penalty Galerkin method for nonlinear time-fractional integro-partial differential equations
Recommended article: Q4900715
Recommended article: Q5199112
Recommended article: A Nonlinear Integro-Diﬀerential Equation with Fractional Order and Nonlocal Conditions
Recommended article: Q2954101
Recommended article: On nonlocal boundary value problems for nonlinear integro-differential equations of arbitrary fractional order
Recommended article: ON THE EXISTENCE AND UNIQUENESS OF SOLUTIONS OF FRACTIONAL ORDER PARTIAL INTEGRO-DIFFERENTIAL EQUATIONS
description: scientific article; zbMATH DE number 7220353