Existence and stability of time-fractional Keller-Segel-Navier-Stokes system with Poisson jumps
Abstract
This manuscript investigates the time-fractional stochastic Keller-Segel-Navier-Stokes system in Hilbert space. This work provides a theoretical framework for analyzing cell migration by incorporating memory effects and environmental noise into the chemotactic signaling and fluid interaction. The proposed system captures key dynamics of cells respond to external gradients during directed movement. The existence of local and global mild solutions with uniqueness is studied under suitable conditions by using Banach fixed point and Banach implicit function theorem. The results are obtained in the pth moment by employing fractional calculus, stochastic analysis and Mittag-Leffler functions. Furthermore, we investigated the asymptotic stability of the proposed system as time approaches infinity.
Fields of Study & Subjects
Mathematical Biology Tumor Growth
Fractional Differential Equations Solutions
Mathematical and Theoretical Epidemiology and Ecology Models
Publication details
- Journal / source
- Scientific Reports
- Publisher
- Springer Science and Business Media LLC
- Volume
- 16
- Issue
- 1
- Pages
- 5369–5369
- Publication date
- 8 February 2026
- Language
- EN