Dirichlet problem for a nonlocal wave equation

被引：0

作者：

O. Kh. Masaeva

机构：

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

来源：

Differential Equations | 2013年 / 49卷

关键词：

Dirichlet Problem; Fractional Order; Fractional Derivative; Uniform Convergence; Regular Solution;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We study the Dirichlet problem for a nonlocal wave equation in a rectangular domain. We prove the existence and uniqueness of a solution of the problem and show that determining whether the solution is unique can be reduced to determining whether a function of Mittag-Leffler type has real zeros. The obtained uniqueness condition turns into the uniqueness condition for the solution of the Dirichlet problem for the wave equation as the order of the fractional derivative in the equation tends to 2.

引用

页码：1518 / 1523

页数：5

共 6 条

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[2]

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[3]

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[4]

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[6]

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