Fractional-order diffusion-wave equation

被引：196
|
作者：
ElSayed, AMA
机构：
[1] Faculty of Science, Alexandria University, Alexandria
来源：
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS | 1996年 / 35卷 / 02期
关键词：
D O I：
10.1007/BF02083817
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The fractional-order diffusion-wave equation is an evolution equation of order alpha is an element of (0, 2] Which continues to the diffusion equation when a --> 1 and to the wave equation when alpha --> 2. We prove some properties of its solution and give some examples. We define a new fractional calculus (negative-direction fractional calculus) and study some of its properties. We study the existence, uniqueness, and properties of the solution of the negative-direction fractional diffusion-wave problem.
引用
收藏
页码：311 / 322
页数：12
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