Random fractional partial differential equations and solutions for water movement in soils: Theory and applications

This paper analyses a set of random fractional partial differential equations (rfPDEs) for water movement in soils. The rfPDEs both rigid and swelling soils are solved flux boundary condition (BC), concentration BC. Solutions from BC presented the large-time small-time situations with solution as very simple method determining through surface soil. equation cumulative infiltration is parameters rfPDE subject to simulations using results two types BCs yielded encouraging stable based on sets field data: first data was measurements at single site while second 26 small catchment. suggest that procedures useful methods interpolation, extrapolation, prediction hydrological variables such content, hydraulic conductivity or methodologies this able reveal reproduce realistic processes nature which often stochastic random.