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Analytical solutions of linear fractional partial differential equations using fractional Fourier transform
Journal of Computational and Applied Mathematics ( IF 2.4 ) Pub Date : 2020-09-18 , DOI: 10.1016/j.cam.2020.113202
Teekam Chand Mahor , Rajshree Mishra , Renu Jain

This paper discusses the analytical solutions of fractional partial differential equations using Integral Transform method. The fractional derivatives are considered with reference to modified Riemann–Liouville derivatives. Fractional Fourier transform (FrFT) is applied to solve fractional heat diffusion, fractional wave, fractional telegraph and fractional kinetic equations. The method proposed here is effective enough to work on these equations efficiently.



中文翻译:

分数阶傅里叶变换的线性分数阶偏微分方程的解析解

本文讨论了使用积分变换方法的分数阶偏微分方程的解析解。考虑分数阶导数是参考修改后的黎曼-利维尔(Riemann-Liouville)导数。分数阶傅里叶变换(FrFT)用于求解分数热扩散,分数波,分数电报和分数动力学方程。这里提出的方法足以有效地处理这些方程。

更新日期:2020-10-07
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