Resumen de Mathematical Modeling Thoughts and Methods Based on Fractional Differential Equations in Teachi

Yingwei Chen, Zhihui Zhang, Ahmed Mohamed Helmi Mohamed Elsadek Abd Elfatah

• This article combines ordinary differential equations' theoretical and practical characteristics to explore howtointegrate mathematical modeling ideas in teaching materials and teaching methods. We apply the fractional differential equation algorithm to the mathematical modeling of Terman diffusion. At the same time, the article proposes a framework for obtaining accurate solutions of a class of nonlinear Sinai stochastic models withpower-law diffusion through Mittag-Leffler function transformation. In this way, we have obtained great explicit and accurate solutions of some important Mittag-Leffler function power-law diffusion physical processes.