FRACTIONAL COMPLEX TRANSFORM FOR FRACTIONAL DIFFERENTIAL EQUATIONS

被引：274

作者：

Li, Zheng-Biao ^{[2
]}

He, Ji-Huan ^{[1
]}

机构：

[1] Soochow Univ, Natl Engn Lab Modern Silk, Suzhou 215006, Peoples R China

[2] Qujing Normal Univ, Coll Math & Informat Sci, Qujing 655011, Yunnan, Peoples R China

来源：

MATHEMATICAL AND COMPUTATIONAL APPLICATIONS | 2010年 / 15卷 / 05期

关键词：

Modified Riemann-Liouville Derivative; Fractional Differential Equation; Exact Solution;

D O I：

10.3390/mca15050970

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Fractional complex transform is proposed to convert fractional differential equations into ordinary differential equations, so that all analytical methods devoted to advanced calculus can be easily applied to fractional calculus. Two examples are given.

引用

页码：970 / 973

页数：4

共 5 条

[1]

Golbabai A., 2010, NONLINEAR SCI LETT A, V1, P147

[2]

He J.-H., 2010, Nonlinear Sci. Lett. A, V1, P1

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Jumarie G. .

Journal of Applied Mathematics and Computing, 2007, 24 (1-2) :31-48

[4] Fractional variational iteration method and its application [J].

Wu, Guo-cheng ;

Lee, E. W. M. .

PHYSICS LETTERS A, 2010, 374 (25) :2506-2509

[5]

Zhang S., 2010, Commun. Fract. Calc., V1, P48

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