ABSTRACT

This chapter explores the applications of models based on fractional calculus, particularly fPDEs and a limited number of fDEs, in the analysis of water movement in soils and related processes. The fPDE-based models cover many water-related topics, including the governing equations of water movement in both non-swelling and swelling soils, coupled water movement and heat transfer in soils, and issues related to these governing equations. fPDEs and fDEs appear in some cases such as exchange of water between mobile and immobile zones, and that between pores with different properties. Some new ideas relevant to these governing equations of water flow and related processes have also been discussed thereafter.