Local and global existence of mild solutions for a class of semilinear fractional integro-differential equations (Q1640792)

scientific article; zbMATH DE number 6889414

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English	Local and global existence of mild solutions for a class of semilinear fractional integro-differential equations	scientific article; zbMATH DE number 6889414

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instance of

scholarly article

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title

Local and global existence of mild solutions for a class of semilinear fractional integro-differential equations (English)

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14 June 2018

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zbMATH Keywords

measure of noncompactness

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solution operator

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1515/fca-2017-0071

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cites work

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Fractional evolution equations in Banach spaces

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Local and global existence of mild solution to an impulsive fractional functional integro-differential equation with nonlocal condition

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Existence of mild solutions for fractional evolution equations with mixed monotone nonlocal conditions

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Monotone iterative technique for a class of semilinear evolution equations with nonlocal conditions

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On the initial value problem of fractional evolution equations with noncompact semigroup

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Perturbation method for nonlocal impulsive evolution equations

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Monotone iterative technique for the elastic systems with structural damping in Banach spaces

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Characterization of compactness for resolvents and its applications

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Q4716265

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Existence of mild solution for evolution equation with Hilfer fractional derivative

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Local and global existence of mild solution to impulsive fractional semilinear integro-differential equation with noncompact semigroup

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A semilinear parabolic Volterra integrodifferential equation

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Existence of the mild solution for fractional semilinear initial value problems

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Q5409512

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Mild solutions for abstract fractional differential equations

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On the compactness of fractional resolvent operator functions

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Controllability of nonlocal fractional differential systems of order \(\alpha \in (1,2]\) in Banach spaces

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Q5409264

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Iterative method for solutions and coupled quasi-solutions of nonlinear Fredholm integral equations in ordered Banach spaces

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Existence theorems of global solutions for nonlinear Volterra type integral equations in Banach spaces

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Infinite boundary value problems for \(n\)th-order nonlinear impulsive integro-differential equations in Banach spaces

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Semigroups of linear operators and applications to partial differential equations

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Q4276447

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Existence of mild solutions to nonlocal fractional Cauchy problems via compactness

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Existence of solutions for semi-linear abstract differential equations with not instantaneous impulses

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Approximate controllability and optimal controls of fractional dynamical systems of order \(1< q<2\) in Banach spaces

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Semilinear fractional integro-differential equations with compact semigroup

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Existence of pseudo almost automorphic mild solutions to stochastic fractional differential equations

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The existence and uniqueness of mild solutions for fractional differential equations with nonlocal conditions of order \(1<\alpha<2\)

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S-asymptotically \(\omega\)-positive periodic solutions for a class of neutral fractional differential equations

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Existence of solutions for nonlocal impulsive partial functional integrodifferential equations via fractional operators

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Existence and uniqueness of global mild solutions for a class of nonlinear fractional reaction-diffusion equations with delay

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Local and global existence of mild solutions for a class of nonlinear fractional reaction-diffusion equations with delay

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published in

Fractional Calculus \ Applied Analysis

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Identifiers

zbMATH Open document ID

1392.45016

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Mathematics Subject Classification ID

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10.1515/FCA-2017-0071

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Sitelinks

Mathematics(1 entry)

mardi Publication:1640792