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arXiv · 2004.13020

Fractional Fokker-Planck equations for subdiffusion and exceptional orthogonal polynomials

C. -L. Ho
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Abstract

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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C. -L. Ho. 2020-04-26. Fractional Fokker-Planck equations for subdiffusion and exceptional orthogonal polynomials. https://arxiv.org/abs/2004.13020

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