Journal
MATHEMATICS
Volume 6, Issue 1, Pages -Publisher
MDPI
DOI: 10.3390/math6010004
Keywords
Hadamard fractional derivatives; COM-Poisson distributions; Modified Mittag-Leffler functions
Categories
Funding
- Memory in Evolving Graphs (Compagnia di San Paolo/Universita di Torino)
- Sviluppo e analisi di processi Markoviani e non Markoviani con applicazioni (Universita di Torino)
- INDAM-GNAMPA
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In this paper, we show several connections between special functions arising from generalized Conway-Maxwell-Poisson (COM-Poisson) type statistical distributions and integro-differential equations with varying coefficients involving Hadamard-type operators. New analytical results are obtained, showing the particular role of Hadamard-type derivatives in connection with a recently introduced generalization of the Le Roy function. We are also able to prove a general connection between fractional hyper-Bessel-type equations involving Hadamard operators and Le Roy functions.
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