Sobolev-type fractional stochastic integrodifferential equations with nonlocal conditions in Hilbert space

DOI10.1007/s10959-016-0665-9zbMath1377.26004OpenAlexW2292465563MaRDI QIDQ2412503

Hamdy M. Ahmed

Publication date: 23 October 2017

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10959-016-0665-9

zbMATH Keywords

controllabilityfixed pointmild solutionfractional calculusnonlocal conditionsuniformly continuous semigroupSobolev-type fractional stochastic integro-differential equation

Mathematics Subject Classification ID

Controllability (93B05) Equations involving nonlinear operators (general) (47J05) Fractional derivatives and integrals (26A33) Nonlinear differential equations in abstract spaces (34G20) Numerical solutions to stochastic differential and integral equations (65C30)

Related Items

Impulsive stochastic fractional differential equations driven by fractional Brownian motion, Approximate controllability for stochastic fractional hemivariational inequalities of degenerate type, Solutions of semi-linear stochastic evolution integro-differential inclusions with Poisson jumps and non-local initial conditions, Topological properties of solution sets for Sobolev-type fractional stochastic differential inclusions with Poisson jumps, Degenerate type fractional evolution hemivariational inequalities and optimal controls via fractional resolvent operators, Attractivity for Hilfer fractional stochastic evolution equations, Existence and optimal controls for fractional stochastic evolution equations of Sobolev type via fractional resolvent operators

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