Article ID Journal Published Year Pages File Type
5129713 Statistics & Probability Letters 2017 12 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Statistics and Probability
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