On initial value and terminal value problems for subdiffusive stochastic Rayleigh-Stokes equation
Copyright policy )On initial value and terminal value problems for subdiffusive stochastic Rayleigh-Stokes equation
In this paper, we study two stochastic problems for time-fractional RayleighStokes equation including the initial value problem and the terminal value problem. Here, two problems are perturbed by Wiener process, the fractional derivative are taken in the sense of Riemann-Liouville, the source function and the time-spatial noise are nonlinear and satisfy the globally Lipschitz conditions. We attempt to give some existence results and regularity properties for the mild solution of each problem.
- Universidad de Sevilla (US) Spain
- Duy Tan University Viet Nam
- University of Seville Spain
- Ho Chi Minh City University of Science Viet Nam
- Vietnam National University Viet Nam
Wiener process, Stochastic partial differential equations (aspects of stochastic analysis), Gaussian processes, Fractional processes, including fractional Brownian motion, Regularization by noise, time-fractional Rayleigh-Stokes equation, existence and regularity properties of solution
Wiener process, Stochastic partial differential equations (aspects of stochastic analysis), Gaussian processes, Fractional processes, including fractional Brownian motion, Regularization by noise, time-fractional Rayleigh-Stokes equation, existence and regularity properties of solution
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).7 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Top 10%
Citations provided by BIP!Popularity provided by BIP!