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K. Velusamy

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Open access Aug 2026

Memory-Induced Synchronization in a Time-Fractional Partly Diffusive Coupled Hindmarsh–Rose Network with Nonlinear Diffusion

We present and analyze a time-fractional, partly diffusive model of two electrically coupled Hindmarsh–Rose neurons in which only the membrane potentials undergo spatial transport, through a nonlinear Neumann m-Laplacian, while the temporal evolution is governed by a Caputo derivative of order ρ∈(0,1]. The fractional o...

K. Velusamy, S. Ramasamy, Mallika Arjunan Mani et al. · 0 citations

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