分数阶霍顿渗透模型及其应用

Fractional Horton Infiltration Model and Its Application

文章研究了Riemann-Liouville分数阶和Caputo分数阶霍顿渗透模型,得到了分数阶霍顿下渗公式。首先利用分数阶微积分相关理论知识,构建了Riemann-Liouville分数阶和Caputo分数阶霍顿渗透模型。其次,利用分数阶线性微分方程的求解公式,对分数阶霍顿渗透模型进行求解,得到了分数阶霍顿下渗公式。研究结果可运用到城市雨水累积入渗量问题中。

The Riemann Liouville fractional and Caputo fractional Horton infiltration models are studied,and the fractional Horton infiltration formula is obtained.Firstly,the Riemann Liouville fractional order and Caputo fractional order Horton penetration models are constructed by using the relevant theoretical knowledge of fractional calculus.Secondly,the fractional Horton infiltration model is solved by using the solution formula of fractional linear differential equation,and the fractional Horton infiltration formula is obtained.The research results are applied to the problem of accumulated infiltration of rainwater in the region.