Now showing items 1-3 of 3
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 ...
An Alternative De nition 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  and whose advantage is that it is the left inverse of the corresponding of k-Riemann-Liouville ...
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 ...