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...