Existence and uniqueness of mild solution for fractional integrodifferential equations

DOI10.1155/2010/158789zbMath1198.45015OpenAlexW2101417632WikidataQ59254611 ScholiaQ59254611MaRDI QIDQ1957519

Fang Li, Gaston Mandata N'Guérékata

Publication date: 27 September 2010

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

Full work available at URL: https://doi.org/10.1155/2010/158789

zbMATH Keywords

Banach spacemild solutionfixed point theoremnonlinear fractional integrodifferential equations

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Other nonlinear integral equations (45G10) Fractional derivatives and integrals (26A33) Abstract integral equations, integral equations in abstract spaces (45N05)

Related Items (4)

Existence of solutions of the abstract Cauchy problem of fractional order ⋮ Optimal mild solutions and weighted pseudo-almost periodic classical solutions of fractional integro-differential equations ⋮ Fractional nonlocal impulsive quasilinear multi-delay integro-differential systems ⋮ Existence results of mild solutions for impulsive fractional integro-differential evolution equations with infinite delay

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