Some existence results for a stochastic differential system with non-Lipschitz conditions
DOI10.1080/17442508.2021.2014835OpenAlexW4200302086MaRDI QIDQ5041051
Publication date: 18 October 2022
Published in: Stochastics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/17442508.2021.2014835
mild solutionresolvent operatorfractional calculusexistence and uniquenessstochastic differential system
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Applications of stochastic analysis (to PDEs, etc.) (60H30) Ordinary differential equations and systems with randomness (34F05) Applications of operator theory to differential and integral equations (47N20)
Cites Work
- Unnamed Item
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- Chaos in a simple nonlinear system with Atangana-Baleanu derivatives with fractional order
- The existence of mild solutions for impulsive fractional partial differential equations
- Semigroups of linear operators and applications to partial differential equations
- Exponential decay of solutions of semilinear parabolic equations with nonlocal initial conditions
- The extended fractional Caputo-Fabrizio derivative of order \(0\leq \sigma <1\) on \(C_{\mathbb{R}}[0,1\) and the existence of solutions for two higher-order series-type differential equations]
- Optimality conditions for fractional differential inclusions with nonsingular Mittag-Leffler kernel
- Controllability of semilinear impulsive Atangana-Baleanu fractional differential equations with delay
- Controllability of semilinear noninstantaneous impulsive ABC neutral fractional differential equations
- A novel approach to find exact solutions of fractional evolution equations with non-singular kernel derivative
- Existence of mild solution of Atangana-Baleanu fractional differential equations with non-instantaneous impulses and with non-local conditions
- New numerical method and application to Keller-Segel model with fractional order derivative
- On a class of ordinary differential equations in the frame of Atangana-Baleanu fractional derivative
- Mathematical analysis and numerical simulation for a smoking model with Atangana-Baleanu derivative
- New results on existence in the framework of Atangana-Baleanu derivative for fractional integro-differential equations
- Approximate controllability of stochastic differential systems driven by a Lévy process
- New fractional derivatives with non-singular kernel applied to the Burgers equation
- On the formulation of Adams-Bashforth scheme with Atangana-Baleanu-Caputo fractional derivative to model chaotic problems
- Approximate controllability of stochastic differential system with non-Lipschitz conditions
- Weighted pseudo Almost periodic solutions for fractional order stochastic impulsive differential equations
- Existence results for a class of impulsive neutral fractional stochastic integro-differential systems with state dependent delay
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