Study a class of Hilfer fractional stochastic integrodifferential equations with Poisson jumps

DOI10.1080/07362994.2018.1524303zbMath1472.74207OpenAlexW2906408461MaRDI QIDQ4634151

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Publication date: 7 May 2019

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

Full work available at URL: https://doi.org/10.1080/07362994.2018.1524303

zbMATH Keywords

mild solutionfixed point theoremnonlocal condition

Mathematics Subject Classification ID

Stochastic integral equations (60H20) Stochastic and other probabilistic methods applied to problems in solid mechanics (74S60) Applications of fractional calculus in solid mechanics (74S40)

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Approximate controllability of nonlinear hilfer fractional stochastic differential system with Rosenblatt process and Poisson jumps ⋮ Well posedness of second-order impulsive fractional neutral stochastic differential equations ⋮ Exponential stability of impulsive fractional neutral stochastic integro-differential equations with nonlocal conditions ⋮ Fractional neutral stochastic integrodifferential equations with Caputo fractional derivative: Rosenblatt process, Poisson jumps and Optimal control ⋮ Approximate controllability for Hilfer fractional stochastic non-instantaneous impulsive differential system with Rosenblatt process and Poisson jumps ⋮ Existence and stability of Ulam-Hyers for neutral stochastic functional differential equations ⋮ Fractional neutral stochastic differential equations with Caputo fractional derivative: Fractional Brownian motion, Poisson jumps, and optimal control ⋮ On impulsive Hilfer fractional stochastic differential system driven by Rosenblatt process ⋮ Non-instantaneous impulsive Hilfer fractional stochastic differential equations driven by fractional Brownian motion ⋮ Hilfer fractional stochastic system driven by mixed Brownian motion and Lêvy noise suffered by non-instantaneous impulses

Cites Work

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