235 citations · 420 across the 12 of their papers we have counts for
14 papers
On count data models based on Bernstein functions or their inverses
G. D'Onofrio, F. Polito, Z. Tomovski
We present a class of positive discrete random variables extending the Conway--Maxwell-Poisson distribution. This class emerges in a natural way from an application in queueing the…
Anomalous and ultraslow diffusion of a particle driven by power-law-correlated and distributed-order noises
Z. Tomovski, K. Gorska, T. Pietrzak +2
We study the generalized Langevin equation approach to anomalous diffusion for a harmonic oscillator and a free particle driven by different forms of internal noises, such as power…
Geometric properties of some generalized Mathieu power series inside the unit disk
Stefan Gerhold, Zivorad Tomovski, Deepak Bansal +1
We consider two parametric families of special functions: One is defined by a power series generalizing the classical Mathieu series, and the other one is a generalized Mathieu typ…
Asymptotic expansion of Mathieu power series and trigonometric Mathieu series
Stefan Gerhold, Zivorad Tomovski
We consider a generalized Mathieu series where the summands of the classical Mathieu series are multiplied by powers of a complex number. The Mellin transform of this series can be…
Generalized diffusion-wave equation with memory kernel
Trifce Sandev, Zivorad Tomovski, Johan Dubbeldam +1
We study generalized diffusion-wave equation in which the second order time derivative is replaced by integro-differential operator. It yields time fractional and distributed order…
Asymptotics of some generalized Mathieu series
Stefan Gerhold, Zivorad Tomovski
We establish asymptotic estimates of Mathieu-type series defined by sequences with power-logarithmic or factorial behavior. By taking the Mellin transform, the problem is mapped to…
On a certain extension of the Riemann-Liouville fractional derivative operator
Gauhar Rahman, Kottakkaran Sooppy Nisar, Zivorad Tomovski
The main aim of this present paper is to present a new extension of the fractional derivative operator by using the extension of Beta function recently defined by Shadab et al.[19]…
On a new (p,q)-Mtahieu type power series and its applications
Khaled Mehrez, Zivorad Tomovski
Our aim in this paper, is to establish certain new integrals for the the (p,q)-Mathieu--power series. In particular, we investigate the Mellin-Barnes type integral representations…
Some families of generalized Mathieu-type power series, associated probability distributions and related functional inequalities involving complete monotonicity and log-convexity
Zivorad Tomovski, Khaled Mehrez
By making use of the familiar Mathieu series and its generalizations, the authors derive a number of new integral representations and present a systematic study of probability dens…
Probability distribution built by Prabhakar function. Related Turán and Laguerre inequalities
Tibor K. Pogány, Živorad Tomovski
Introducing the discrete probability distribution by means of the Prabhakar (or the three--parameter Mittag--Leffler) function, we establish explicit expressions for raw and factor…
Generalized distributed order diffusion equations with composite time fractional derivative
Trifce Sandev, Zivorad Tomovski, Bojan Crnkovic
In this paper we investigate the solution of generalized distributed order diffusion equations with composite time fractional derivative by using the Fourier-Laplace transform meth…
Some Properties of Prabhakar-type Fractional Calculus Operators
Federico Polito, Zivorad Tomovski
In this paper we study some properties of the Prabhakar integrals and derivatives and of some of their extensions such as the regularized Prabhakar derivative or the Hilfer--Prabha…
Fractional Helmholtz and fractional wave equations with Riesz-Feller and generalized Riemann-Liouville fractional derivatives
Ram K. Saxena, Zivorad Tomovski, Trifce Sandev
The objective of this paper is to derive analytical solutions of fractional order Laplace, Poisson and Helmholtz equations in two variables derived from the corresponding standard…
Hilfer-Prabhakar Derivatives and Some Applications
Roberto Garra, Rudolf Gorenflo, Federico Polito +1
We present a generalization of Hilfer derivatives in which Riemann--Liouville integrals are replaced by more general Prabhakar integrals. We analyze and discuss its properties. Fur…