Existence of solutions for fractional impulsive neutral functional differential equations driven by fractional Brownian motion
DOI10.1515/rose-2022-2080OpenAlexW4281655586WikidataQ114052700 ScholiaQ114052700MaRDI QIDQ2090568
Ahmed Lahmoudi, El Hassan Lakhel
Publication date: 25 October 2022
Published in: Random Operators and Stochastic Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/rose-2022-2080
fractional Brownian motioninfinite delayfractional powers of operatorsstochastic fractional impulsive differential equations
Fractional processes, including fractional Brownian motion (60G22) Functional-differential equations with impulses (34K45) Functional-differential equations in abstract spaces (34K30) Stochastic functional-differential equations (34K50) Neutral functional-differential equations (34K40) Applications of operator theory to differential and integral equations (47N20) Functional-differential equations with fractional derivatives (34K37)
Cites Work
- Neutral stochastic functional differential equations driven by a fractional Brownian motion in a Hilbert space
- Existence of mild solutions for fractional neutral evolution equations
- Semigroups of linear operators and applications to partial differential equations
- Functional differential equations in Hilbert spaces driven by a fractional Brownian motion
- Controllability of impulsive neutral stochastic integro-differential systems driven by a Rosenblatt process with unbounded delay
- Controllability of neutral stochastic functional integro-differential equations driven by fractional Brownian motion
- Existence and Uniqueness of Mild Solutions to Neutral SFDE driven by a Fractional Brownian Motion with non-Lipschitz Coefficients
- Existence of Solution of Nonlinear Neutral Stochastic Differential Inclusions with Infinite Delay
- Existence of solutions for fractional neutral functional differential equations driven by fBm with infinite delay
- Stochastic Calculus for Fractional Brownian Motion and Applications
- Fractional Brownian Motions, Fractional Noises and Applications