Generalized Space-Fractional Poisson Process via Variable-Order Stable Subordinator

Reetendra Singh, Aditya Maheshwari

This paper introduces a variable-order stable subordinator (VOSS) $S^{\hat{I}\pm (t)}(t)$ with index $\hat{I}\pm (t)\in (0,1)$, where $\hat{I}\pm (t)$ is a right-continuous piecewise constant function. We dri…