时间分数阶微分方程的同伦分析解法
Solutions of time-fractional differential equations using homotopy analysis method
摘要：
本文利用同伦分析方法求出了具有初始条件的线性和非线性分数阶偏微分微分方程的解。用$ψ$ -Caputo分数阶导数代替一阶时间导数，并将同伦分析方法所得结果与精确解进行了比较.
英文摘要：
We have used the homotopy analysis method to obtain solutions of linear and nonlinear fractional partial differential differential equations with initial conditions. We replace the first order time derivative by $ψ$-Caputo fractional derivative, and also we compare the results obtained by the homotopy analysis method with the exact solutions.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
