Existence and attractivity of global solutions for a class of fractional quadratic integral equations in Banach space

DOI10.1186/S13662-016-0913-4zbMath1419.34167OpenAlexW2462470752WikidataQ59467019 ScholiaQ59467019MaRDI QIDQ1625748

Fang Li, Hui-Wen Wang

Publication date: 29 November 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-016-0913-4

zbMATH Keywords

integral equationsglobal solutionsfractional differential equationsattractivityfractional order

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Other nonlinear integral equations (45G10) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Fractional derivatives and integrals (26A33) General theory of functional-differential equations (34K05) Singular nonlinear integral equations (45G05) Fractional ordinary differential equations (34A08)

Related Items (1)

Periodic solutions for nonlocal \(p(t)\)-Laplacian systems

Cites Work

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• Nonlocal impulsive fractional differential inclusions with fractional sectorial operators on Banach spaces
• Abstract Cauchy problem for fractional differential equations
• Existence, attractiveness and stability of solutions for quadratic Urysohn fractional integral equations
• Analysis of Abel-type nonlinear integral equations with weakly singular kernels
• Attractivity of fractional functional differential equations
• Nonlocal Cauchy problem for fractional evolution equations
• On local attractivity of solutions of a functional integral equation of fractional order with deviating arguments
• Global asymptotic stability of solutions of a functional integral equation
• Fractional dynamics. Applications of fractional calculus to dynamics of particles, fields and media
• On the concept and existence of solutions for fractional impulsive systems with Hadamard derivatives
• Existence results for abstract partial neutral integro-differential equation with unbounded delay

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