On the p-k-mittag-leffler function

In this paper, we define the function pE γ k,α,β(z), estudy its analytic properties, some elementary properties as its integral expression, its relationship with the fractional operator of Riemann-Liouville and investigate the fractional generalization of the kinetic equation involving this Mitt...

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Detalles Bibliográficos
Autores principales: Cerutti, Rubén Alejandro, Luque, Luciano Leonardo, Dorrego, Gustavo Abel
Formato: Artículo
Lenguaje:Inglés
Publicado: Hikari Ltd 2020
Materias:
P-k-mittag-leffler function
Mathematical analysis
Integral equations
Acceso en línea:http://repositorio.unne.edu.ar/handle/123456789/9115
Aporte de:
RIUNNE - Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE) de Universidad Nacional del Nordeste
Descripción
Sumario:In this paper, we define the function pE γ k,α,β(z), estudy its analytic properties, some elementary properties as its integral expression, its relationship with the fractional operator of Riemann-Liouville and investigate the fractional generalization of the kinetic equation involving this Mittag-Leffler type function. This new Mittag-Leffler-type function related to the two parameters Gamma function recently introduced by Gehlot [8], is a generalizaton of the k-Mittag-Leffler function since kΓk(z) = Γk(z), thus generalize the Mittag-Leffler of two parameter, Mittag-Leffler function and the exponential function.

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