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Laplace-Laplace analysis of the fractional Poisson process

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      Abstract

      We generate the fractional Poisson process by subordinating the standard Poisson process to the inverse stable subordinator. Our analysis is based on application of the Laplace transform with respect to both arguments of the evolving probability densities.

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      Most cited references 10

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      Fractional Calculus

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        Stochastic solution of space-time fractional diffusion equations

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          Fractional Poisson process

           Nick Laskin (2003)
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            Journal
            1305.5473

            Probability

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