A Result Regarding Finite-Time Stability for Hilfer Fractional Stochastic Differential Equations with Delay
نویسندگان
چکیده
Hilfer fractional stochastic differential equations with delay are discussed in this paper. Firstly, the solutions to corresponding given using Laplace transformation and its inverse. Afterwards, Picard iteration technique contradiction method brought up demonstrate existence uniqueness of understanding, respectively. Further, finite-time stability is obtained generalized Grönwall–Bellman inequality. As verification, an example provided support theoretical results.
منابع مشابه
Computational Method for Fractional-Order Stochastic Delay Differential Equations
Dynamic systems in many branches of science and industry are often perturbed by various types of environmental noise. Analysis of this class of models are very popular among researchers. In this paper, we present a method for approximating solution of fractional-order stochastic delay differential equations driven by Brownian motion. The fractional derivatives are considered in the Caputo sense...
متن کاملExponential stability of fractional stochastic differential equations with distributed delay
*Correspondence: [email protected] School of Statistics, Jiangxi University of Finance and Economics, Nanchang, Jiangxi 330013, China Abstract Equations driven by fractional Brownian motion are attracting more and more attention. This paper considers fractional stochastic differential equations with distributed delay. With the variation-of-constants formula, an explicit expression and asymptotic ...
متن کاملExistence results for hybrid fractional differential equations with Hilfer fractional derivative
This paper investigates the solvability, existence and uniqueness of solutions for a class of nonlinear fractional hybrid differential equations with Hilfer fractional derivative in a weighted normed space. The main result is proved by means of a fixed point theorem due to Dhage. An example to illustrate the results is included.
متن کاملPeriodicity in a System of Differential Equations with Finite Delay
The existence and uniqueness of a periodic solution of the system of differential equations d dt x(t) = A(t)x(t − ) are proved. In particular the Krasnoselskii’s fixed point theorem and the contraction mapping principle are used in the analysis. In addition, the notion of fundamental matrix solution coupled with Floquet theory is also employed.
متن کاملA Stability Result for Stochastic Differential Equations Driven by Fractional Brownian Motions
We study the stability of the solutions of stochastic differential equations driven by fractional Brownian motions with Hurst parameter greater than half. We prove that when the initial conditions, the drift, and the diffusion coefficients as well as the fractional Brownian motions converge in a suitable sense, then the sequence of the solutions of the corresponding equations converge in Hölder...
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: Fractal and fractional
سال: 2023
ISSN: ['2504-3110']
DOI: https://doi.org/10.3390/fractalfract7080622