Mohammadreza Ahmadi Darani

Department of Applied Mathematics, Faculty of Mathematical Sciences Shahrekord University, P.O.Box 115, Shahrekord, Iran

[ 1 ] - On asymptotic stability of Weber fractional differential systems

In this article, we introduce the fractional differential systems in the sense of the Weber fractional derivatives and study the asymptotic stability of these systems. We present the stability regions and then compare the stability regions of fractional differential systems with the Riemann-Liouville and Weber fractional derivatives.

[ 2 ] - On the generalized mass transfer with a chemical reaction: Fractional derivative model

In this article using the inverse Laplace transform, we show analytical solutions for the generalized mass transfers with (and without) a chemical reaction. These transfers have been expressed as the Couette flow with the fractional derivative of the Caputo sense. Also, using the Hankel contour for the Bromwich's integral, the solutions are given in terms of the generalized Airy functions.

Co-Authors