Fractional exponential operators and time-fractional telegraph equation

被引：18
|
作者：
Ansari, Alireza [1 ]
机构：
[1] Shahrekord Univ, Fac Math Sci, Dept Appl Math, Shahrekord, Iran
来源：
BOUNDARY VALUE PROBLEMS | 2012年
关键词：
Laplace transform; Mellin transform; partial fractional differential equation; Wright function; DIFFERENTIAL-EQUATIONS; OPERATIONAL METHODS; SYSTEM;
D O I：
10.1186/1687-2770-2012-125
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the Bromwich integral for the inverse Mellin transform is used for finding an integral representation for a fractional exponential operator. This operator can be considered as an approach for solving partial fractional differential equations. Also, application of this operator for obtaining a formal solution of the time-fractional telegraph equation is discussed.
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页数：6
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