The Cauchy Problem for the Fractional Diffusion Equation in a Weighted Hölder Space

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作者
R. M. Dzhafarov
N. V. Krasnoshchek
机构
[1] Institute of Applied Mathematics and Mechanics,
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关键词
Caputo derivative; fundamental solution; Cauchy problem; weighted Hölder space;
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摘要
Under study is the Cauchy problem for the fractional diffusion equation with a Caputo derivative. The existence and uniqueness theorems for a smooth solution are proven in a weighted H¨older space.
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页码:1034 / 1050
页数:16
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