Stochastic fractional perturbed control systems with fractional Brownian motion and Sobolev stochastic non local conditions
DOI10.1007/s13348-017-0207-5zbMath1391.93041OpenAlexW2766295257WikidataQ59482723 ScholiaQ59482723MaRDI QIDQ1752919
Dumitru Baleanu, Kerboua Mourad, Fateh Ellaggoune
Publication date: 24 May 2018
Published in: Collectanea Mathematica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13348-017-0207-5
fractional Brownian motionapproximate controllabilityfixed point techniquefractional stochastic systemperturbed control systemsstochastic nonlocal condition
Fractional processes, including fractional Brownian motion (60G22) Controllability (93B05) Fractional derivatives and integrals (26A33) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Sobolev (and similar kinds of) spaces of functions of discrete variables (46E39)
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Cites Work
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- Approximate controllability of nonlinear fractional dynamical systems
- Existence of mild solutions for fractional integrodifferential equations of Sobolev type with nonlocal conditions
- On almost periodic mild solutions for stochastic functional differential equations
- Neutral stochastic functional differential equations driven by a fractional Brownian motion in a Hilbert space
- A note on the fractional Cauchy problems with nonlocal initial conditions
- A class of fractional evolution equations and optimal controls
- Stepanov-like almost automorphy for stochastic processes and applications to stochastic differential equations
- Existence for a class of partial differential equations with nonlocal conditions
- Semigroups of linear operators and applications to partial differential equations
- Evolution equations driven by a fractional Brownian motion
- Some probability densities and fundamental solutions of fractional evolution equations
- Existence of solutions for nonlinear fractional stochastic differential equations
- Approximate controllability of fractional neutral stochastic system with infinite delay
- Controllability of fractional functional evolution equations of Sobolev type via characteristic solution operators
- Approximate controllability of Sobolev type nonlocal fractional stochastic dynamic systems in Hilbert spaces
- Existence of solutions for a impulsive nonlocal stochastic functional integrodifferential inclusion in Hilbert spaces
- Approximate controllability of fractional nonlocal delay semilinear systems in Hilbert spaces
- Approximate Controllability of Semilinear Deterministic and Stochastic Evolution Equations in Abstract Spaces
- On Concepts of Controllability for Deterministic and Stochastic Systems
- Approximate controllability of Sobolev type fractional stochastic nonlocal nonlinear differential equations in Hilbert spaces
- Fractional Brownian Motions, Fractional Noises and Applications