On Numerical Simulations of Variable-Order Fractional Cable Equation Arising in Neuronal Dynamics
Fouad Mohammad Salama
Abstract:In recent years, various complex systems and real-world phenomena have been shown to include memory and hereditary properties that change with respect to time, space, or other variables. Consequently, fractional partial differential equations containing variable-order fractional operators have been extensively resorted for modeling such phenomena accurately. In this paper, we consider the two-dimensional fractional cable equation with the Caputo variable-order fractional derivative in the time direction, which… Show more
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