论文标题

使用均匀分析方法的时间分数微分方程的解决方案

Solutions of time-fractional differential equations using homotopy analysis method

论文作者

Oliveira, D. S., de Oliveira, E. Capelas

论文摘要

我们已经使用同型分析方法获得具有初始条件的线性和非线性分数偏微分方程的溶液。我们用$ψ$ -CAPUTO分数衍生物替换一阶时间衍生物,并且还将通过同型分析方法获得的结果与精确溶液进行比较。

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.

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