Some results on finite-time stability of stochastic fractional-order delay differential equations
From MaRDI portal
Publication:2113163
DOI10.1016/J.CHAOS.2022.111996zbMath1505.93225OpenAlexW4220672356WikidataQ115359059 ScholiaQ115359059MaRDI QIDQ2113163
Danfeng Luo, Mengquan Tian, Quanxin Zhu
Publication date: 12 January 2023
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.chaos.2022.111996
Stochastic functional-differential equations (34K50) Functional-differential equations with fractional derivatives (34K37) Finite-time stability (93D40)
Related Items (15)
A novel algorithm for asymptotic stability analysis of some classes of stochastic time-fractional Volterra equations ⋮ Existence and synchronization of coupled stochastic infinite-dimensional systems via aperiodically intermittent control ⋮ Relatively exact controllability for higher-order fractional stochastic delay differential equations ⋮ New results on finite‐time guaranteed cost control of uncertain polytopic fractional‐order systems with time‐varying delays ⋮ Stability analysis of Atangana–Baleanu fractional stochastic differential systems with impulses ⋮ Ulam-Hyers stability for an impulsive Caputo-Hadamard fractional neutral stochastic differential equations with infinite delay ⋮ State and output feedback's finite-time guaranteed cost \(H_\infty\) control for uncertain nonlinear stochastic systems with time-varying delays ⋮ Relatively exact controllability of fractional stochastic delay system driven by Lévy noise ⋮ Ultimate boundedness of impulsive stochastic delay differential equations with delayed impulses ⋮ Dynamics analysis for a class of fractional Duffing systems with nonlinear time delay terms ⋮ Coupled system of fractional hemivariational inequalities with applications ⋮ On the averaging principle of Caputo type neutral fractional stochastic differential equations ⋮ Event-triggered guaranteed cost control for uncertain polytopic fractional-order systems subject to unknown time-varying delays ⋮ Finite-time stability of equilibrium point of a class of fractional-order nonlinear systems ⋮ An improved result for the finite-time stability of the singular system with time delay
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Existence and finite-time stability results for impulsive fractional differential equations with maxima
- Finite time stability of fractional delay differential equations
- Henry-Gronwall type retarded integral inequalities and their applications to fractional differential equations with delay
- On the concept and existence of solution for impulsive fractional differential equations
- The existence of mild solutions for impulsive fractional partial differential equations
- Laplace transform and fractional differential equations
- Solvability of fractional order semi-linear stochastic impulsive differential equation with state-dependent delay
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- Complex time-delay systems. Theory and applications
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- New criteria for finite-time stability of nonlinear fractional-order delay systems: A Gronwall inequality approach
- Existence and exponential stability for impulsive neutral stochastic functional differential equations driven by fBm with noncompact semigroup via Mönch fixed point
- Finite time stability analysis of systems based on delayed exponential matrix
- Finite time stability of semilinear delay differential equations
- A variation of constant formula for Caputo fractional stochastic differential equations
- Uniqueness and novel finite-time stability of solutions for a class of nonlinear fractional delay difference systems
- Representation of solutions and finite time stability for delay differential systems with impulsive effects
- An averaging principle for stochastic fractional differential equations with time-delays
- Existence and uniqueness results for a class of fractional stochastic neutral differential equations
- Impulsive stochastic fractional differential equations driven by fractional Brownian motion
- Global attractiveness and exponential stability for impulsive fractional neutral stochastic evolution equations driven by fBm
- Existence and exponential stability for neutral stochastic integrodifferential equations with impulses driven by a fractional Brownian motion
- A novel result on averaging principle of stochastic Hilfer-type fractional system involving non-Lipschitz coefficients
- On the novel finite-time stability results for uncertain fractional delay differential equations involving noninstantaneous impulses
- Carathéodory approximations and stability of solutions to non-Lipschitz stochastic fractional differential equations of Itô-Doob type
- Finite-time stability analysis of fractional order time-delay systems: Gronwall's approach
- Exploring delayed Mittag-Leffler type matrix functions to study finite time stability of fractional delay differential equations
- Existence and finite-time stability of solutions for a class of nonlinear fractional differential equations with time-varying delays and non-instantaneous impulses
- New criterion for finite-time synchronization of fractional order memristor-based neural networks with time delay
- Existence of almost periodic solutions for fractional impulsive neutral stochastic differential equations with infinite delay
- Existence and Stability Results for Stochastic Fractional Delay Differential Equations with Gaussian Noise
- Sufficient conditions for existence and uniqueness of fractional stochastic delay differential equations
- Existence of Optimal Mild Solutions and Controllability of Fractional Impulsive Stochastic Partial Integro‐Differential Equations with Infinite Delay
- Optimal Solutions of Fractional Nonlinear Impulsive Neutral Stochastic Functional Integro-Differential Equations
- Finite time stability and relative controllability of Riemann‐Liouville fractional delay differential equations
- Approximation properties for solutions to Itô–Doob stochastic fractional differential equations with non-Lipschitz coefficients
- Basic Theory of Fractional Differential Equations
- Mittag-Leffler Functions, Related Topics and Applications
- Stochastic Equations in Infinite Dimensions
- Stochastic differential equations. An introduction with applications.
This page was built for publication: Some results on finite-time stability of stochastic fractional-order delay differential equations
