Fractional differential equation

Estimation Problems for Partial and Fractional Differential Equations - Spring 2019

Apr 18, 12:00 - 13:00

B9 L2 H1

Fractional differential equation Partial Differential Equations

We will present some new methods for source and parameters estimation for partial and fractional differential equations and illustrate the results with some simulations and real applications.

The fractional-order modeling and synchronization of electrically coupled neuron systems

1 min read · Wed, Feb 1 2012

Circuits Non-standard finite deference scheme Neuron system Fractional differential equation Chaotic synchronization

Khaled Moaddy, et al., "The fractional-order modeling and synchronization of electrically coupled neuron systems" Computers and Mathematics with Applications 64 (10), 2012, 3329. Abstract: In this paper, we generalize the integer-order cable model of the neuron system into the fractional-order domain, where the long memory dependence of the fractional derivative can be a better fit for the neuron response. Furthermore, the chaotic synchronization with a gap junction of two or multi-coupled-neurons of fractional-order are discussed. The circuit model, fractional-order state equations and the