ArticleScientific reports2026
Existence and stability of time-fractional Keller-Segel-Navier-Stokes system with Poisson jumps.
Article in Scientific reports, 2026. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 1 paper.
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The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.
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1 citing paper in PubMed.
- Modeling and analysis of stochastic quantum magnetohydrodynamics equations with energy estimates.Scientific reports · 2026Article
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2 authors.
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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.
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