Sufficient conditions for existence and uniqueness of fractional stochastic delay differential equations
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Publication:5086486
DOI10.1080/17442508.2019.1625903zbMath1490.60172OpenAlexW2948414694WikidataQ127753284 ScholiaQ127753284MaRDI QIDQ5086486
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Publication date: 5 July 2022
Published in: Stochastics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/17442508.2019.1625903
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Stochastic functional-differential equations (34K50) Functional-differential equations with fractional derivatives (34K37)
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Cites Work
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- Sobolev-type fractional stochastic differential equations with non-Lipschitz coefficients
- Fractional stochastic differential equations with applications to finance
- From the Ehrenfest model to time-fractional stochastic processes
- Existence of pseudo almost automorphic mild solutions to stochastic fractional differential equations
- A generalized Gronwall inequality and its application to a fractional differential equation
- Existence results for an impulsive neutral stochastic fractional integro-differential equation with infinite delay
- \(\theta\)-Maruyama methods for nonlinear stochastic differential delay equations
- Complex time-delay systems. Theory and applications
- On existence results for impulsive fractional neutral stochastic integro-differential equations with nonlocal and state-dependent delay conditions
- Existence of solutions for fractional stochastic impulsive neutral functional differential equations with infinite delay
- Existence and uniqueness of solutions for stochastic differential equations of fractional-order \(q > 1\) with finite delays
- On the solutions of certain fractional kinetic equations involving \(k\)-Mittag-Leffler function
- Numerical simulation of fractional-order dynamical systems in noisy environments
- Existence and uniquenes results for systems of impulsive functional stochastic differential equations driven by fractional Brownian motion with multiple delay
- Stochastic fractional perturbed control systems with fractional Brownian motion and Sobolev stochastic non local conditions
- Non-standard finite difference and Chebyshev collocation methods for solving fractional diffusion equation
- Advances in real and complex analysis with applications. Selected papers based on the presentations at the 24th international conference on finite or infinite dimensional complex analysis and applications, 24ICFIDCAA, Jaipur, India, August 22--26, 2016
- Computational technique for simulating variable-order fractional Heston model with application in US stock market
- Asymptotic stability of fractional impulsive neutral stochastic partial integro-differential equations with infinite delay
- Existence result for fractional neutral stochastic integro-differential equations with infinite delay
- Successive approximation and optimal controls on fractional neutral stochastic differential equations with Poisson jumps
- Existence of an optimal control for fractional stochastic partial neutral integro-differential equations with infinite delay
- Backward stochastic variational inequalities driven by multidimensional fractional Brownian motion
- Retarded stochastic differential equations with infinite delay driven by Rosenblatt process
- Asymptotic separation between solutions of Caputo fractional stochastic differential equations
- Computational scheme for solving nonlinear fractional stochastic differential equations with delay
- Stochastic delay fractional evolution equations driven by fractional Brownian motion
- The Controllability of Fractional Damped Stochastic Integrodifferential Systems
- Fractional Brownian Motions, Fractional Noises and Applications
