Asymptotic stability analysis of Riemann-Liouville fractional stochastic neutral differential equations
نویسندگان
چکیده
The novelty of our paper is to establish results on asymptotic stability mild solutions in $p$th moment Riemann-Liouville fractional stochastic neutral differential equations (for short FSNDEs) order $\alpha \in (\frac{1}{2},1)$ using a Banach's contraction mapping principle. core point this derive the solution FSNDEs involving time-derivative by applying version variation constants formula. are obtained with help theory equations, some properties Mittag-Leffler functions and analysis under assumption that corresponding dynamical system asymptotically stable.
منابع مشابه
Asymptotic stability of neutral stochastic functional integro-differential equations*
This paper is concerned with the existence and asymptotic stability in the p-th moment of mild solutions of nonlinear impulsive stochastic delay neutral partial functional integro-differential equations. We suppose that the linear part possesses a resolvent operator in the sense given in [8], and the nonlinear terms are assumed to be Lipschitz continuous. A fixed point approach is used to achie...
متن کاملAsymptotic Stability of Stochastic Impulsive Neutral Partial Functional Differential Equations
In this paper the authors study the existence and asymptotic stability in p-th moment of mild solutions to stochastic neutral partial differential equation with impulses. Their method for investigating the stability of solutions is based on the fixed point theorem.
متن کاملAsymptotic Stability of Fractional Impulsive Neutral Stochastic Partial Integro-differential Equations with State-dependent Delay
In this article, we study the asymptotical stability in p-th moment of mild solutions to a class of fractional impulsive partial neutral stochastic integro-differential equations with state-dependent delay in Hilbert spaces. We assume that the linear part of this equation generates an α-resolvent operator and transform it into an integral equation. Sufficient conditions for the existence and as...
متن کاملAsymptotic Stability of Fractional Stochastic Neutral Differential Equations with Infinite Delays
and Applied Analysis 3 (iii) X 0 (⋅) = φ ∈ BF([m(0), 0],H), where
متن کاملStability analysis of a class of nonlinear fractional differential systems with Riemann-Liouville derivative
This paper investigates the stability of n-dimensional nonlinear fractional differential systems with Riemann-Liouville derivative. By using the Mittag-Leffler function, Laplace transform and the Gronwall-Bellman lemma, one sufficient condition is attained for the asymptotical stability of a class of nonlinear fractional differential systems whose order lies in (0, 2). According to this theory,...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Miskolc Mathematical Notes
سال: 2021
ISSN: ['1586-8850', '1787-2405', '1787-2413']
DOI: https://doi.org/10.18514/mmn.2021.3600