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math.DS2024
Strange Attractors in Fractional Differential Equations: A Topological Approach to Chaos and Stability
Ronald Katende
In this work, we explore the dynamics of fractional differential equations (FDEs) through a rigorous topological analysis of strange attractors. By investigating systems with Caput…
cs.LG2024★ 1 cited
Unified theoretical guarantees for stability, consistency, and convergence in neural PDE solvers from non-IID data to physics-informed networks
Ronald Katende
We establish a unified theoretical framework addressing the stability, consistency, and convergence of neural networks under realistic training conditions, specifically, in the pre…