Most people who deal with electronics have heard of the Fourier transform. That mathematical process makes it possible for computers to analyze sound, video, and it also offers critical math insights ...

Abstract: This study deals with the analytical and approximate solutions of the Heat fractional Partial differential equation under Caputo’s definition. Through a practical and highly efficient ...

We consider a rough differential equation indexed by a small parameter ε > 0. When the rough differential equation is driven by fractional Brownian motion with Hurst parameter H (1/4 < H < 1/2), we ...