Artículos de revistahttp://repositorio.unne.edu.ar/handle/123456789/1012020-02-18T04:28:59Z2020-02-18T04:28:59ZThe k-η-Hyperbolic FunctionsCerutti, Rubén A.http://repositorio.unne.edu.ar/handle/123456789/91182019-12-03T19:34:04Z2016-01-01T00:00:00ZThe k-η-Hyperbolic Functions
Cerutti, Rubén A.
The main objetive of this paper is to present and discuss a family of functions dependent on ve parameters that generalize the one introduced by A. Ungar [8]. The action of Riemann-Liouville fractional operators over them is evaluated as well their Laplace transform. Particular case are shown.
2016-01-01T00:00:00ZThe k-Fractional Logistic Equation with k-Caputo DerivativeCerutti, Rubén A.http://repositorio.unne.edu.ar/handle/123456789/91172019-12-03T19:34:16Z2015-01-01T00:00:00ZThe k-Fractional Logistic Equation with k-Caputo Derivative
Cerutti, Rubén A.
A generalization of the fractional logistic equation by using k-Caputo
derivative is introduced. Also a solution that can be expressed en terms
of the k-Mittag-Le er function is obtained.
The development of this paper has been done on the basis what has
been done by Camargo and Bruno-Alfonso.
2015-01-01T00:00:00ZOn the p-k-Mittag-Leffler FunctionCerutti, RubénLuque, Luciano LeonardoDorrego, Gustavohttp://repositorio.unne.edu.ar/handle/123456789/91152019-12-03T10:26:05Z2017-01-01T00:00:00ZOn the p-k-Mittag-Leffler Function
Cerutti, Rubén; Luque, Luciano Leonardo; Dorrego, Gustavo
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.
2017-01-01T00:00:00ZThe Generalized k-α-Miller-Ross FunctionCerutti, Rubén A.http://repositorio.unne.edu.ar/handle/123456789/91122019-12-02T23:49:24Z2016-01-01T00:00:00ZThe Generalized k-α-Miller-Ross Function
Cerutti, Rubén A.
2016-01-01T00:00:00Z