Generalized fractional derivatives generated by Dickman subordinator and related stochastic processes
Neha Gupta,
Arun Kumar,
Nikolai Leonenko
et al.
Abstract:In this article, convolution-type fractional derivatives generated by Dickman subordinator and inverse Dickman subordinator are discussed. The Dickman subordinator and its inverse are generalizations of stable and inverse stable subordinators, respectively. The series representations of densities of the Dickman subordinator and inverse Dickman subordinator are also obtained, which could be helpful for computational purposes. Moreover, the space and time-fractional Poisson-Dickman processes, space-fractional Sk… Show more
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