Boundary value problem for a multidimensional fractional partial differential equation

被引:0
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作者
A. V. Pskhu
机构
[1] Russian Academy of Sciences,Research Institute for Applied Mathematics and Automation, Kabardino
来源
Differential Equations | 2011年 / 47卷
关键词
Fundamental Solution; Fractional Derivative; Regular Solution; Fractional Calculus; Equation Boundary;
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学科分类号
摘要
We construct a fundamental solution of a linear fractional partial differential equation. For an equation with Dzhrbashyan-Nersesyan fractional differentiation operators, we solve a boundary value problem and find a closed-form representation for its solution. The corresponding results for equations with Riemann-Liouville and Caputo derivatives are special cases of the assertions proved here.
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