Saigo space–time fractional Poisson process via Adomian decomposition method

K.K. Kataria and P. Vellaisamy

Statistics & Probability Letters, 2017, vol. 129, issue C, 69-80

Abstract: We obtain the state probabilities of various fractional versions of the classical homogeneous Poisson process using an alternate and simpler method known as the Adomian decomposition method (ADM). Generally these state probabilities are obtained by evaluating probability generating function using Laplace transform. A generalization of the space–time fractional Poisson process involving the Caputo type Saigo differential operator is introduced and its state probabilities are obtained using ADM.

Keywords: Fractional Poisson processes; Fractional derivatives; Adomian decomposition method (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (4)

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DOI: 10.1016/j.spl.2017.05.007

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