Fractional derivative systems ... leading to a dynamic system that can be analyzed using coupled ordinary differential equations. This approach allows for the determination of response statistics ...

We have shown that fractional order differential equations are the natural mathematical tools to describe history dependence. We have applied them to study the diffusion of synaptic receptors in the ...

I am interested in developing and analyzing high-order numerical methods for solving partial differential equations and fractional partial differential equations. In particular, I have been focusing ...