On a method for constructing a solution of integro-differential equations of fractional order

被引：5
|
作者：
Turmetov, Batirkhan Kh [1 ]
机构：
[1] Akhmet Yasawi Int Kazakh Turkish Univ, 29 B Sattarkhanov Ave, Turkestan 161200, Kazakhstan
来源：
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2018年 / 25期
关键词：
integro-differential equation of Volterra type; Riemann-Liouville fractional integrals and derivatives; generalized Mittag-Leffler function; method normalized systems of functions; DIFFERENTIAL-EQUATIONS; UNIQUENESS; EXISTENCE;
D O I：
10.14232/ejqtde.2018.1.25
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we propose a new method for constructing a solution of the integro-differential equations of Volterra type. The particular solutions of the homogeneous and of the inhomogeneous equation will be constructed and the Cauchy type problems will be investigated. Note that this method is based on construction of normalized systems functions with respect to the differential operator's fractional order.
引用
收藏
页码：1 / 14
页数：14
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