Unique Continuation Principle for the One-Dimensional Time-Fractional Diffusion Equation

被引：0
|
作者：
Zhiyuan Li
Masahiro Yamamoto
机构：
[1] Shandong University of Technology No. 266,School of Mathematics and Statistics
[2] The University of Tokyo 3-8-1 Komaba,Graduate School of Mathematical Sciences
[3] Peoples’ Friendship University of Russia (RUDN University),undefined
[4] Honorary Member of Academy of Romanian Scientists Splaiul Independentei Str.,undefined
[5] no 54,undefined
来源：
Fractional Calculus and Applied Analysis | 2019年 / 22卷
关键词：
Primary 35R11; Secondary 26A33; 35B53; 44A10; fractional diffusion equation; unique continuation principle; Laplace transform; fractional Theta function;
D O I：
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学科分类号：
摘要：
This paper deals with the unique continuation of solutions for a one-dimensional anomalous diffusion equation with Caputo derivative of order α ∈ (0, 1). Firstly, the uniqueness of solutions to a lateral Cauchy problem for the anomalous diffusion equation is given via the Theta function method, from which we further verify the unique continuation principle.
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页码：644 / 657
页数：13
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