In this article, a numerical scheme based on Euler wavelets for solving fractional differential equations is proposed. An Euler wavelet operational matrix of fractional integration is derived and employed to reduce fractional differential equations into simultaneous algebraic equations. Some examples are given to illustrate the applicability and the high accuracy of the proposed numerical scheme.

中文翻译：

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一种基于小波的快速数值解分数阶微分方程

本文提出了一种基于欧拉小波求解分数阶微分方程的数值方案。推导了分数积分的欧拉小波运算矩阵，并将其用于将分数微分方程简化为联立代数方程。给出了一些例子来说明所提出的数值方案的适用性和高精度。