FRACTIONAL DIFFUSION EQUATIONS WITH INTERNAL DEGREES OF FREEDOM

• 来源期刊: 计算数学（英文版）
• 学科: 数学
• 关键词: Fractional derivative Diffunors Diffusion process Generalized Dirac equation.
• 年，卷（期）: 2003,（4）
• 页码范围: 491-494
• 页数: 4页
• 分类号: O24
• 语种: 英文

摘要

We present a generalization of the linear one-dimensional diffusion equation by combining the fractional derivatives and the internal degrees of freedom. The solutions are constructed from those of the scalar fractional diffusion equation. We analyze the interpolation between the standard diffusion and wave equations defined by the fractional derivatives. Our main result is that we can define a diffusion process depending on the internal degrees of freedom associated to the system.