In this paper, we find the solution for a fractional Richards equation describing the water
transport in unsaturated porous media using the q-homotopy analysis transform method (q …

Abstract ''The time-fractional generalized Burger–Fisher equation (TF-GBFE)” is used in
various applied sciences and physical applications, including simulation of gas dynamics …

This paper focuses on the application of an efficient technique, namely, the fractional natural
decomposition method (FNDM). The numerical solutions of the model containing the water …

It is difficult to imagine mathematics or engineering to date without nonlinear algebraic
systems; these topics have deserved more diverse and vigorous interest over the years. In …

The concept of calculus to fractional order is widely used to analyze the complex non-linear
phenomena depend on the time. In the study of unsaturated ow in soils, Brook-Corey's …

One of the most familiar equations for examining the properties of infiltration in unsaturated
regions of soil like a porous media is known as Richards' equation. The main aim of this …

In this paper, an analytic technique, namely Homotopy Analysis Mothed (HAM) has been
applied for solving SEIR model. The method (HAM) provides a direct scheme for solving the …

abstract ''The time-fractional generalized Burger–Fisher equation (TF-GBFE)” is used in
various applied sciences and physical applications, including simulation of gas dynamics …