论文标题

分数fokker-planck方程,用于次扩散和杰出的正交多项式

Fractional Fokker-Planck equations for subdiffusion and exceptional orthogonal polynomials

论文作者

Ho, C. -L.

论文摘要

可以指出的是,对于Metzler,Barkai和Klafter提出的宽扩散的分数fokker-Planck方程[Phys。莱特牧师。 82(1999)3563],与新发现的异常正交多项式相关的无限多种精确解。它们代表了瑞利工艺和雅各比过程的分数变形版本。

It is pointed out that, for the fractional Fokker-Planck equation for subdiffusion proposed by Metzler, Barkai, and Klafter [Phys. Rev. Lett. 82 (1999) 3563], there are four types of infinitely many exact solutions associated with the newly discovered exceptional orthogonal polynomials. They represent fractionally deformed versions of the Rayleigh process and the Jacobi process.

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