Mixed Problem for a Loaded System of Equations with Riemann-Liouville Derivatives

M. O. Mamchuev

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Mixed Problem for a Loaded System of Equations with Riemann-Liouville Derivatives

机译：具有黎曼-柳维尔导数的方程组的混合问题

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摘要

A system of two Riemann-Liouville partial differential equations with constant coefficients is studied. The existence and uniqueness theorem for the solution of the mixed problem is proved and its Green function is constructed.

机译：研究了两个具有恒定系数的Riemann-Liouville偏微分方程组。证明了混合问题解的存在唯一性定理，并构造了格林函数。

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来源
《Mathematical notes》 |2015年第4期|412-422|共11页
作者
M. O. Mamchuev;
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作者单位

Research Institute of Applied Mathematics and Automation, Kabardino-Balkar Research Center, Russian Academy of Sciences, Nalchik, Kabardino-Balkar Republic, Russia;

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正文语种 eng
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关键词
Riemann-Liouville partial differential equation; Green matrix function; fractional differentiation operator; Wright-type function; system of fractional differential equations;

机译：Riemann-Liouville偏微分方程;绿色矩阵功能;分数微分算子怀特型功能;分数阶微分方程组;

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Mixed Problem for a Loaded System of Equations with Riemann-Liouville Derivatives

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