On a Problem for a Mixed-Type Equation With Fractional Derivative

被引：5

作者：

Repin, O. A. ^{[1
]}

机构：

[1] Samara State Econ Univ, Ul Sovetskoi Armii 141, Samara 443090, Russia

来源：

RUSSIAN MATHEMATICS | 2018年 / 62卷 / 08期

关键词：

nonlocal problem; differential equation of fractional order; generalized operator; Gauss hypergeometric function; Cauchy problem;

D O I：

10.3103/S1066369X18080066

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a mixed-type equation with the Riemann-Liouville partial fractional derivative we study a problem where the boundary condition contains a linear combination of generalized fractional operators with the Gauss hypergeometric function. We find a solution to the considered problem explicitly by solving an equation with fractional derivatives of various orders and prove the uniqueness of the solution for various values of parameters of the mentioned operators.

引用

页码：38 / 42

页数：5

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