# Saigo Space-Time Fractional Poisson Process via Adomian Decomposition Method

Source: [Saigo Space-Time Fractional Poisson Process via Adomian Decomposition Method](<https://www.sota2.com/research/paper/68fa58501e209131ce9ad507>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T15:16:33.306Z

Authors: K. K. Kataria, P. Vellaisamy

Published: 2017-02-06T13:14:58.000Z

## 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.

## Recorded benchmark results

A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage.

## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1702.02622>)

[PDF](<https://arxiv.org/pdf/1702.02622.pdf>)