On finite fractional Sturm-Liouville transforms

被引：14
|
作者：
Ansari, Alireza [1 ]
机构：
[1] Shahrekord Univ, Fac Math Sci, Dept Appl Math, Shahrekord, Iran
来源：
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2015年 / 26卷 / 01期
关键词：
fractional derivative; finite transform; Sturm-Liouville problem; partial fractional differential equation; 34B24; 26A33; EQUATION;
D O I：
10.1080/10652469.2014.966102
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we introduce the finite fractional Sturm-Liouville transforms for the four classes of fractional operators involving the left-sided and right-sided Riemann-Liouville, Caputo and Weyl fractional derivatives. Moreover, the inversion formulas are drawn and the formal and numerical solutions of some partial fractional differential equations are obtained using the finite fractional Legendre, Hankel and Fourier transforms.
引用
收藏
页码：51 / 64
页数：14
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