包含非齐次初始边界条件的序列时间空间分数阶扩散方程

IF 0.7 Q2 MATHEMATICS

Tbilisi Mathematical Journal Pub Date : 2021-06-01 DOI:10.32513/tmj/19322008124

Süleyman Çetinkaya, A. Demir

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引用次数: 0

摘要

在本研究中，我们讨论了包含分数阶偏微分方程的非齐次初边值问题的解析解的构造。通过变量分离方法，将解构造为关于相应的Sturm-Liouville特征值问题的特征函数的傅立叶级数形式，该问题包括Liouville-Caputo意义上的分数导数。

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Sequential time space fractional diffusion equation including nonhomogenous initial boundary conditions

In this research, we discuss the construction of analytic solution of non-homogenous initial boundary value problem including PDEs of fractional order. By means of separation of variables method, the solution is constructed in the form of a Fourier series with respect to the eigenfunctions of a corresponding Sturm-Liouville eigenvalue problem including fractional derivative in Liouville-Caputo sense.

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Tbilisi Mathematical Journal MATHEMATICS-

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