Fundamental solution of a loaded second-order parabolic equation with constant coefficients

被引：0

作者：

M. O. Mamchuev

机构：

[1] Russian Academy of Sciences,Institute for Applied Mathematics and Automation, Kabardino

来源：

Differential Equations | 2015年 / 51卷

关键词：

Fundamental Solution; Fractional Derivative; Regular Solution; Fractional Calculus; Rectangular Domain;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We study a second-order partial differential equation containing fractional derivatives with respect to one of the two independent variables. We construct a fundamental solution of this equation, analyze its properties, and derive a general representation of solutions in a rectangular domain. It follows from this representation that the presence of a lower fractional derivative in the equation may affect the well-posedness of initial and initial–boundary value problems.

引用

页码：620 / 629

页数：9

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