THE ANALYTIC SOLUTION OF INITIAL BOUNDARY VALUE PROBLEM INCLUDING TIME FRACTIONAL DIFFUSION EQUATION

被引：10

作者：

Cetinkaya, Suleyman ^{[1
]}

Demir, Ali ^{[1
]}

Sevindir, Hulya Kodal ^{[1
]}

机构：

[1] Fac Arts & Sci, Dept Math, TR-41380 Kocaeli, Turkey

来源：

FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS | 2020年 / 35卷 / 01期

关键词：

Caputo fractional derivative; space-fractional diffusion equation; Mittag-Leffler function; initial-boundary-value problems; spectral method; PARTIAL-DIFFERENTIAL-EQUATIONS;

D O I：

10.22190/FUMI2001243C

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The motivation of this study is to determine the analytic solution of initial boundary value problem including time fractional differential equation with Neumann boundary conditions in one dimension. By making use of seperation of variables, the solution is constructed in the form of a Fourier series with respect to the eigenfunctions of a corresponding Sturm-Liouville eigenvalue problem.

引用

页码：243 / 252

页数：10

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