Abstract: The fractional Fan subequation method of the fractional Riccati equation is applied to construct the exact solutions of some nonlinear fractional evolution equations. In this paper, a powerful algorithm is developed for ...

Abstract: In this manuscript, a new method is introduced for solving multiorder fractional differential equations. By transforming the fractional differential equations into an optimization problem and using polynomial basis functions, ...

Abstract: In the present article, the advection–diffusion equation (ADE) having a nonlinear type source/sink term with initial and boundary conditions is solved using finite difference method (FDM). The solution of solute concentration ...