On impulsive Hilfer fractional stochastic differential system driven by Rosenblatt process

DOI10.1080/07362994.2019.1629301zbMath1428.34022OpenAlexW2954906415MaRDI QIDQ5240643

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Publication date: 29 October 2019

Published in: Stochastic Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/07362994.2019.1629301

zbMATH Keywords

fixed point theoremRosenblatt processstochastic systemsimpulseHilfer fractional derivativenon-compact measure

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Ordinary differential equations with impulses (34A37) Nonlinear differential equations in abstract spaces (34G20) Ordinary differential equations and systems with randomness (34F05) Applications of operator theory to differential and integral equations (47N20) Fractional ordinary differential equations (34A08)

Related Items (15)

Approximate controllability of nonlinear hilfer fractional stochastic differential system with Rosenblatt process and Poisson jumps ⋮ APPROXIMATE CONTROLLABILITY OF IMPULSIVE STOCHASTIC SYSTEMS DRIVEN BY ROSENBLATT PROCESS AND BROWNIAN MOTION ⋮ Approximate controllability of fractional stochastic differential equations driven by Rosenblatt process with non-instantaneous impulses ⋮ Controllability of Neutral Impulsive Stochastic Integrodifferential Equations Driven by a Rosenblatt Process and Unbounded Delay ⋮ Exponential stability of impulsive fractional neutral stochastic integro-differential equations with nonlocal conditions ⋮ Null controllability of Hilfer fractional stochastic integrodifferential equations with noninstantaneous impulsive and Poisson jump ⋮ Wellposedness and controllability results of stochastic integrodifferential equations with noninstantaneous impulses and Rosenblatt process ⋮ Controllability of Hilfer type fractional evolution neutral integro-differential inclusions with non-instantaneous impulses ⋮ Approximate controllability for Hilfer fractional stochastic non-instantaneous impulsive differential system with Rosenblatt process and Poisson jumps ⋮ Stability result of higher-order fractional neutral stochastic differential system with infinite delay driven by Poisson jumps and Rosenblatt process ⋮ Stochastic time-optimal control for time-fractional Ginzburg–Landau equation with mixed fractional Brownian motion ⋮ Conformable fractional stochastic differential equations with control function ⋮ Non-instantaneous impulsive Hilfer fractional stochastic differential equations driven by fractional Brownian motion ⋮ Solvability of Atangana-Baleanu-Riemann (ABR) fractional stochastic differential equations driven by Rosenblatt process via measure of noncompactness ⋮ Hilfer fractional stochastic system driven by mixed Brownian motion and Lêvy noise suffered by non-instantaneous impulses

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