A New Family of Fractional Renewal Processes

Abstract

Fractional renewal processes as a generalization of Poisson process are already in the literature. In this paper, by introducing a new concept of generalized density function, the authors construct new fractional renewal processes in the $\alpha$-fractional space and show that it is another interesting and useful generalization of Poisson process.

References in corpus (2)

• On the Levy density function
• One-sided Lévy stable distributions