Saigo时空分数泊松过程的Adomian分解方法
Saigo Space-Time Fractional Poisson Process via Adomian Decomposition Method
摘要：
我们得到的状态概率的各种分数版本的经典齐次泊松过程使用替代和更简单的方法称为Adomian分解方法（ADM）。通常，这些状态概率通过使用拉普拉斯变换评估概率母函数来获得。引入了含Caputo型Saigo微分算子的时空分数泊松过程的推广，并利用ADM得到了其状态概率.
英文摘要：
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.
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