On the p-k-Mittag-Leffler function
| Autor: | Gustavo Abel Dorrego, Luciano Leonardo Luque, Ruben Alejandro Cerutti |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Pure mathematics
Applied Mathematics 010102 general mathematics 02 engineering and technology Mathematical analysis 01 natural sciences Integral equation symbols.namesake Mittag-Leffler function 0202 electrical engineering electronic engineering information engineering symbols 020201 artificial intelligence & image processing 0101 mathematics Integral equations P-k-mittag-leffler function Mathematics |
| Zdroj: | Applied Mathematical Sciences, 2017, vol. 11. no. 51, p. 2541-2560. Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE) Universidad Nacional del Nordeste instacron:UNNE |
| ISSN: | 1314-7552 |
| Popis: | 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. Fil: Luque, Luciano Leonardo. Universidad Nacional del Nordeste. Facultad de Ciencias Exactas y Naturales y Agrimensura. Departamento de Matemática; Argentina. Fil: Cerutti, Rubén A. Universidad Nacional del Nordeste. Facultad de Ciencias Exactas y Naturales y Agrimensura; Argentina. Fil: Luque, Luciano L. Consejo Nacional de Investigaciones Científicas y Técnicas. Instituto de Modelado e Innovación Tecnológica; Argentina. Fil: Dorrego, Gustavo Abel. Universidad Nacional del Nordeste. Facultad de Ciencias Exactas y Naturales y Agrimensura. Departamento de Matemática; Argentina. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|