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Random walks and fractional Euler-Poisson-Darboux equation

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FDE2 - Fractional differential equations

We consider the fractional Euler-Poisson-Darboux equation with the fractional derivatives in form of a power of the Bessel differential operator. We solve it using the technique of the Meijer integral transform and its modification. We provide  explicit formula for the solution to the corresponding initial-value problems in terms of the generalized Green function using H-functions. Also we consider the connection of this problem with a model of random flights.

This talk is part of the Isaac Newton Institute Seminar Series series.

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