Existence of Solution of Space-Time Fractional Diffusion-Wave Equation in Weighted Sobolev Space

被引：0
|
作者：
Zhang, Kangqun [1 ]
机构：
[1] Nanjing Inst Technol, Dept Math & Phys, Nanjing 211167, Peoples R China
来源：
ADVANCES IN MATHEMATICAL PHYSICS | 2020年 / 2020卷
关键词：
TRANSFORM;
D O I：
10.1155/2020/1545043
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, we consider Cauchy problem of space-time fractional diffusion-wave equation. Applying Laplace transform and Fourier transform, we establish the existence of solution in terms of Mittag-Leffler function and prove its uniqueness in weighted Sobolev space by use of Mikhlin multiplier theorem. The estimate of solution also shows the connections between the loss of regularity and the order of fractional derivatives in space or in time.
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页数：6
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