Fractional stochastic differential equations
WebMay 11, 2024 · Nowadays, stochastic differential equations are widely used to simulate various problems in scientific fields and the real world applications, such as electrical … WebDec 26, 2024 · The approach used in this paper is based on a stochastic partial differential equation, and it is employed to predict the geophysical data. With this statistical model-based approach, the sparse sample from a survey is used to estimate the underlying spatial surface, and it is assumed that the predicted geophysical data have the same ...
Fractional stochastic differential equations
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WebWe deal with backward stochastic differential equations driven by a pure jump Markov process and an independent Brownian motion (BSDEJs for short). We start by proving the existence and uniqueness of the solutions for this type of equation and present a comparison of the solutions in the case of Lipschitz conditions in the generator. With … WebIn stochastic analysis, a rough path is a generalization of the notion of smooth path allowing to construct a robust solution theory for controlled differential equations driven by classically irregular signals, for example a Wiener process.The theory was developed in the 1990s by Terry Lyons. Several accounts of the theory are available. Rough path theory …
WebSep 5, 2024 · Download a PDF of the paper titled Crank-Nicolson scheme for stochastic differential equations driven by fractional Brownian motions, by Yaozhong Hu and 2 other authors Download PDF Abstract: We study the Crank-Nicolson scheme for stochastic differential equations (SDEs) driven by multidimensional fractional Brownian motion … Web2 days ago · This article is devoted to prove the existence and uniqueness (EU) of solution of fractional Itô–Doob stochastic differential equations (FIDSDE) with order ϰ∈(0,1)$$ \mathrm{\varkappa}\in ...
WebJul 23, 2024 · This paper focuses on the finite-time stability of linear stochastic fractional-order systems with time delay for α ∈ ( 1 2 , 1 ) $\\alpha \\in (\\frac{1}{2},1)$ . Under the generalized Gronwall inequality and stochastic analysis techniques, the finite-time stability of the solution for linear stochastic fractional-order systems with time …
WebDec 18, 2014 · This paper considers fractional stochastic differential equations with distributed delay. With the variation-of-constants formula, an explicit expression and …
WebStochastic delay differential equations driven by fractional Brownian motion with Hurst parameter H . 1 2 MARCO FERRANTE1 and CARLES ROVIRA2 ... Stochastic differential equations for fractional Brownian motions. C. R. Acad. Sci. Paris Se´r. I Math., 331, 75–80. Coutin, L. and Qian, Z. (2002) Stochastic analysis, rough path analysis and ... hawk and bullWebApr 12, 2024 · This article is devoted to prove the existence and uniqueness (EU) of solution of fractional Itô–Doob stochastic differential equations (FIDSDE) with order ϰ ∈ (0,1) … hawk and bull leatherWebSep 5, 2024 · Download a PDF of the paper titled Crank-Nicolson scheme for stochastic differential equations driven by fractional Brownian motions, by Yaozhong Hu and 2 … hawk and budgerigar interaction