On some fractional stochastic integrodifferential equations in Hilbert space

DOI10.1155/2009/568078zbMath1179.60038OpenAlexW2161163776WikidataQ58648459 ScholiaQ58648459MaRDI QIDQ1035160

Hamdy M. Ahmed

Publication date: 10 November 2009

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/45726

zbMATH Keywords

existenceuniquenessstochastic integropartial differential equations

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Stochastic integral equations (60H20)

Related Items (8)

A note on approximate controllability for nonlocal fractional evolution stochastic integrodifferential inclusions of order \(r\in(1,2)\) with delay ⋮ Existence of solutions for fractional neutral functional differential equations driven by fBm with infinite delay ⋮ Sobolev-type fractional stochastic integrodifferential equations with nonlocal conditions in Hilbert space ⋮ Semilinear neutral fractional stochastic integro-differential equations with nonlocal conditions ⋮ Approximations of solutions to a fractional differential equation with a deviating argument ⋮ Existence of pseudo almost automorphic mild solutions to stochastic fractional differential equations ⋮ Hilfer fractional stochastic integro-differential equations ⋮ Stochastic delay fractional evolution equations driven by fractional Brownian motion

Cites Work

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• On some fractional differential equations in the Hilbert space
• Functional integro-differential stochastic evolution equations in Hilbert space
• Integrodifferential equations with analytic semigroups
• Semigroups and some nonlinear fractional differential equations.
• Some probability densities and fundamental solutions of fractional evolution equations
• The fundamental solutions for fractional evolution equations of parabolic type
• Volterra equations with fractional stochastic integrals
• Quasilinear integrodifferential equations in Banach spaces

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