Asymptotic stability of fractional order (1,2] stochastic delay differential equations in Banach spaces

DOI10.1016/j.chaos.2021.111095zbMath1498.34222OpenAlexW3168352518WikidataQ115359130 ScholiaQ115359130MaRDI QIDQ2145435

V. Vijayakumar, Anurag Shukla, Ajeet Singh, Udhayakumar Ramalingam

Publication date: 17 June 2022

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2021.111095

zbMATH Keywords

stabilitymild solutionstochastic systemfractional differential equationssine and cosine family of functions

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Stochastic functional-differential equations (34K50) Functional-differential equations with fractional derivatives (34K37)

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Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Approximate controllability of second-order semilinear control system
• Existence, uniqueness and stability of random impulsive fractional differential equations
• Controllability of nonlocal fractional differential systems of order \(\alpha \in (1,2\) in Banach spaces]
• Second-order neutral stochastic evolution equations with infinite delay under Carathéodory conditions
• Approximate controllability of a delayed semilinear control system with growing nonlinear term
• Asymptotic stability of nonlinear impulsive stochastic differential equations
• Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Existence of a mild solution for a neutral stochastic fractional integro-differential inclusion with a nonlocal condition
• Stability analysis for second-order stochastic neutral partial functional systems subject to infinite delays and impulses
• Existence and uniqueness of solutions for stochastic differential equations of fractional-order \(q > 1\) with finite delays
• Approximate controllability of semilinear system with state delay using sequence method
• Lyapunov conditions for finite-time stability of time-varying time-delay systems
• Existence of solutions for nonlinear fractional stochastic differential equations
• Asymptotic stability of fractional stochastic neutral differential equations with infinite delays
• Ulam's type stability of higher order nonlinear delay differential equations via integral inequality of Grönwall-Bellman-Bihari's type
• Results on the existence and controllability of fractional integro-differential system of order \(1<r<2\) via measure of noncompactness
• A new approach on approximate controllability of fractional evolution inclusions of order \(1<r<2\) with infinite delay
• Results on the approximate controllability of fractional hemivariational inequalities of order \(1< r<2\)
• Asymptotic stability conditions for autonomous time-fractional reaction-diffusion systems
• Asymptotic stability of fractional neutral stochastic systems with variable delays
• Lyapunov stability analysis for nonlinear systems with state-dependent state delay
• New results on stability analysis of systems with time-varying delays using a generalized free-matrix-based inequality
• Existence of solution and approximate controllability of a second-order neutral stochastic differential equation with state dependent delay
• Existence results for impulsive neutral second-order stochastic evolution equations with nonlocal conditions
• Asymptotic stability of fractional impulsive neutral stochastic partial integro-differential equations with infinite delay
• Existence and uniqueness of solutions of stochastic functional differential equations
• Cosine families and abstract nonlinear second order differential equations
• Stability analysis for neutral stochastic differential equation of second order driven by Poisson jumps
• Exponential Stability of Nonlinear Systems With Delayed Impulses and Applications
• Asymptotic stability of second-order neutral stochastic differential equations
• Basic Theory of Fractional Differential Equations
• Stochastic Equations in Infinite Dimensions

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