In the recent years, few type of fractional derivatives which have non-local and non-singular
kernel are introduced. In this work, we present fractional rheological models and Newell …

In this paper, we investigate the fractional epidemic mathematical model and dynamics of
COVID-19. The Wuhan city of China is considered as the origin of the corona virus. The …

In this paper, we obtained the approximate numerical solution of space-time fractional-order
reaction-diffusion equation using an efficient technique homotopy perturbation technique …

In this paper, we generalize a coupled system of nonlinear reaction-advection-diffusion
equations to a variable-order fractional one by using the Caputo-Fabrizio fractional …

In this article, an efficient variable‐order Chebyshev collocation method which is based on
shifted fifth‐kind Chebyshev polynomials is applied to solve a nonlinear variable‐order …

This research work employs the Bernstein spectral technique based on Bernstein
polynomials to analyze and to obtain the approximate numerical solution of a class of …

In this work, we obtained the numerical solution for the system of nonlinear time-fractional
order advection-reaction-diffusion equation using the homotopy perturbation method using …

In this research, we have solved non-linear reaction-diffusion equation and non-linear
Burger's–Huxley equation with Atangana Baleanu Caputo derivative. We developed a …

In the present article, an efficient operational matrix based on the famous Laguerre
polynomials is applied for the numerical solution of two-dimensional non-linear time …

In this paper we consider the boundary asymptotic stabilization of a coupled time fractional-
order reaction–advection–diffusion (FRAD) system with boundary input disturbances …