Results on nonlocal stochastic integro-differential equations driven by a fractional Brownian motion
DOI10.1515/MATH-2020-0063zbMath1480.47116OpenAlexW3094027600MaRDI QIDQ2053453
Hasna Hmoyed, Mamadou Abdoul Diop, Louk-Man Issaka
Publication date: 29 November 2021
Published in: Open Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/math-2020-0063
fractional Brownian motionmild solutions\(C_0\)-semigroupnonlocal conditionresolvent operatorsstochastic functional integro-differential equations
Fractional processes, including fractional Brownian motion (60G22) Stochastic integral equations (60H20) Applications of operator theory in probability theory and statistics (47N30) Impulsive partial differential equations (35R12)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Impulsive neutral stochastic functional integro-differential equations with infinite delay driven by fBm
- Nonlocal impulsive fractional differential inclusions with fractional sectorial operators on Banach spaces
- On semilinear integro-differential equations with nonlocal conditions in Banach spaces
- Neutral stochastic functional differential equations driven by a fractional Brownian motion in a Hilbert space
- The existence and exponential behavior of solutions to stochastic delay evolution equations with a fractional Brownian motion
- Generalized Cauchy problems involving nonlocal and impulsive conditions
- Nonlocal Cauchy problem for fractional evolution equations
- Neutral stochastic integrodifferential equations driven by a fractional Brownian motion with impulsive effects and time-varying delays
- Existence of mild solutions for fractional neutral evolution equations
- Existence for a class of partial differential equations with nonlocal conditions
- Existence of solutions for semilinear neutral stochastic functional differential equations with nonlocal conditions
- Some considerations for linear integrodifferential equations
- Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem
- Exponential decay of solutions of semilinear parabolic equations with nonlocal initial conditions
- Semilinear integrodifferential equations with nonlocal initial conditions
- Nonlocal stochastic integro-differential equations driven by fractional Brownian motion
- Nonlocal Cauchy problem for delay integrodifferential equations of Sobolev type in Banach spaces
- A remark on the mild solutions of non-local evolution equations
- Existence and exponential stability for neutral stochastic integrodifferential equations with impulses driven by a fractional Brownian motion
- Stochastic calculus for fractional Brownian motion and related processes.
- Existence results and asymptotic behavior for nonlocal abstract Cauchy problems
- Square-mean pseudo almost automorphic mild solutions for stochastic evolution equations driven byG-Brownian motion
- On time-dependent stochastic evolution equations driven by fractional Brownian motion in a Hilbert space with finite delay
- Integral transformations and anticipative calculus for fractional Brownian motions
- Resolvent Operators for Integral Equations in a Banach Space
- Semilinear integrodifferential equations with nonlocal cauchy problem
- Existence of Mild Solutions to Stochastic Delay Evolution Equations with a Fractional Brownian Motion and Impulses
- Stochastic Volterra integro-differential equations driven by fractional Brownian motion in a Hilbert space
- Stochastic Calculus for Fractional Brownian Motion and Applications
- Fractional Brownian Motions, Fractional Noises and Applications
This page was built for publication: Results on nonlocal stochastic integro-differential equations driven by a fractional Brownian motion
