A fractional operator algorithm method for construction of solutions of fractional order differential equations

被引：8
|
作者：
Shinaliyev, Kanat M. [1 ]
Turmetov, Batirkhan Kh [1 ]
Umarov, Sabir R. [2 ]
机构：
[1] Kazakh Turkish Univ, Turkestan, Kazakhstan
[2] Tufts Univ, Dept Math, Medford, MA 02155 USA
来源：
FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2012年 / 15卷 / 02期
关键词：
operator method; normed system; operator of fractional differentiation and integration; fractional order differential equation;
D O I：
10.2478/s13540-012-0020-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper a new method of construction of a solution for a wide class of fractional order differential equations is presented. This method is a generalization of the method of operator algorithms to fractional order differential equations. Along with this, new types of special functions are introduced and some of their properties are studied.
引用
收藏
页码：267 / 281
页数：15
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