Now showing items 1-10 of 10

    • k-Fractional Trigonometric Functions 

      Cerutti, Rubén A.; Luque, Luciano L. (Hikari Ltd, 2014)
      Based on the k-Mittag-Lefler function and the k- -Exponential Function we introduce families of functions that allows us define new fractional trigonometric functions that contain the classical trigonometric functions ...
    • An Alternative De nition for the k-Riemann-Liouville Fractional Derivative 

      Dorrego, Gustavo Abel (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 ...
    • The k-Fractional Logistic Equation with k-Caputo Derivative 

      Cerutti, Rubén A. (Hikari Ltd, 2015)
      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 ...
    • The Generalized k-α-Miller-Ross Function 

      Cerutti, Rubén A. (Hikari Ltd, 2016)
    • The k-η-Hyperbolic Functions 

      Cerutti, Rubén A. (Hikari Ltd,, 2016)
      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 ...
    • The Mittag–Leffler function and its application to the ultra-hyperbolic time-fractional diffusion-wave equation 

      Dorrego, Gustavo Abel (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 ...
    • A generalization of the kinetic equation using the prabhakar-type operators 

      Dorrego, Gustavo Abel; Kumar, Dinesh (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 New Extended Beta Function 

      Pucheta, Pablo I. (JS Publication, 2017)
      In this paper, we will present a new and modi ed extended classical Gamma, Beta functions. Some properties basic are studied, such as the integral representations, functional relations and we will evaluate the action of ...
    • On the p-k-Mittag-Leffler Function 

      Cerutti, Rubén; Luque, Luciano Leonardo; Dorrego, Gustavo (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 ...
    • An The New Riemann-Liouville Fractional Operator Extended 

      Pucheta, Pablo I. (JS Publication, 2017)
      In this paper we will introduce a new and modi ed Riemann-Liouville fractional operator that resulted from modifying the extended fractional derivative due to M. Ozarslan. We will study some familiar functions regarding ...