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

被引：2

作者：

Dzhafarov, R. M. ^{[1
]}

Krasnoshchek, N. V. ^{[1
]}

机构：

[1] Inst Appl Math & Mech, Slavyansk, Ukraine

来源：

SIBERIAN MATHEMATICAL JOURNAL | 2018年 / 59卷 / 06期

关键词：

Caputo derivative; fundamental solution; Cauchy problem; weighted Holder space; DIFFERENTIAL-EQUATIONS;

D O I：

10.1134/S0037446618060071

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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 Hdolder space.

引用

页码：1034 / 1050

页数：17

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