Saigo Space-Time Fractional Poisson Process via Adomian Decomposition Method
Probability
2021-07-28 v1
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 and time fractional Poisson process involving the Caputo type Saigo differential operator is introduced and its state probabilities are obtained using ADM.
Keywords
Cite
@article{arxiv.1702.02622,
title = {Saigo Space-Time Fractional Poisson Process via Adomian Decomposition Method},
author = {K. K. Kataria and P. Vellaisamy},
journal= {arXiv preprint arXiv:1702.02622},
year = {2021}
}