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math.PR2024
Fractional counting process at Lévy times and its applications
Shilpa Garg, Ashok Kumar Pathak, Aditya Maheshwari
Traditionally, fractional counting processes, such as the fractional Poisson process, etc. have been defined using fractional differential and integral operators. Recently, Laskin…
math.PR2024
Tempered space-time fractional negative binomial process
Shilpa, Ashok Kumar Pathak, Aditya Maheshwari
In this paper, we define a tempered space-time fractional negative binomial process (TSTFNBP) by subordinating the fractional Poisson process with an independent tempered Mittag-Le…