Existence and approximate controllability results for time-fractional stochastic Navier–Stokes equations
Abstract
This paper deals with time-fractional stochastic Navier–Stokes equations, which are characterized by the coexistence of stochastic noise and a fractional power of the Laplacian. We establish sufficient conditions for the existence and approximate controllability of a unique mild solution to time-fractional stochastic Navier–Stokes equations. Using a fixed point technique, we first demonstrate the existence and uniqueness of a mild solution to the equation under consideration. We then establish approximate controllability results by using the concepts of fractional calculus, semigroup theory, functional analysis, and stochastic analysis.
Fields of Study & Subjects
Stability and Controllability of Differential Equations
Fractional Differential Equations Solutions
Numerical methods for differential equations
Publication details
- Journal / source
- Nonlinear Analysis Modelling and Control
- Publisher
- Vilnius University Press
- Volume
- 31
- Pages
- 1–25
- Publication date
- 21 April 2026
- Language
- EN