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On the p-k-mittag-leffler function
(Hikari Ltd, 2017)
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 ...
A generalization of the kinetic equation using the prabhakar-type operators
(Honam Mathematical Society, 2017)
Fractional kinetic equations are investigated in order to
describe the various phenomena governed by anomalous reaction in
dynamical systems with chaotic motion. Many authors have pro-
vided solutions of various families ...
An alternative definition for the k-Riemann liouville fractional derivative
(Hikari Ltd, 2015)
The aim of this paper is to introduce an alternative de nition for the k-Riemann-Liouville fractional derivative given in [6] and whose advantage is that it is the left inverse of the corresponding of k-Riemann-Liouville ...
Generalized riemann-liouville fractional operators associated with a generalization of the prabhakar integral operator
(Natural Sciences, 2016)
The paper introduces a new integral operator which generalizes the Prabhakar integral operator. The boundedness on the
space of continuous functions and on the space of Lebesgue integrable functions on an interval is ...
The mittag leffler function and its application to the ultra hyperbolic time fractional diffusion wave equation
(Taylor & Francis Group, 2016-03)
In this paper we study an n-dimensional generalization of timefractional diffusion-wave equation, where the Laplacian operator is replaced by the ultra-hyperbolic operator and the time-fractional derivative is taken in the ...
Una generalización de las ecuaciones integrales de Abel
(Universidad Nacional del Nordeste. Secretaría General de Ciencia y Técnica, 2014)
El llamado "Cálculo Fraccionario" tuvo su origen en la misma época del surgimiento del cálculo clásico hacia 1695. Los matemáticos de la época se ocuparon de este tema que les resultaba atractivo por las ideas novedosas ...