Results 51 to 60 of about 13,122 (219)

Generalized Mittag-Leffler Distributions and Processes for Applications in Astrophysics and Time Series Modeling

, 2010
Geometric generalized Mittag-Leffler distributions having the Laplace transform $\frac{1}{1+\beta\log(1+t^\alpha)},00$ is introduced and its properties are discussed.
A Erdélyi, AG Pakes, AJ Lawrance, C Jacques, C Tsallis, CR Rao, DN Anderson, DN Dewald, DP Gaver, GD Lin, GD Lin, GD Lin, GD Lin, HJ Haubold, K Jayakumar, K Jayakumar, K Jayakumar, K Weron, L Devroye, LB Klebanov, RK Saxena, RK Saxena, RK Saxena, RN Pillai, RN Pillai, RN Pillai, RN Pillai, RN Pillai, S Kotz, S Kotz, TJ Kozubowski, TJ Kozubowski, V Seetha Lekshmi, V Seetha Lekshmi, Y Fujita   +34 more
core   +1 more source

Certain Unified Integrals Involving a Multivariate Mittag–Leffler Function

Axioms, 2021
A remarkably large number of unified integrals involving the Mittag–Leffler function have been presented. Here, with the same technique as Choi and Agarwal, we propose the establishment of two generalized integral formulas involving a multivariate ...
Shilpi Jain, Ravi P. Agarwal, Praveen Agarwal, Prakash Singh   +3 more
doaj   +1 more source

On the p-k-Mittag-Leffler function [PDF]

Applied Mathematical Sciences, 2017
In this paper, we define the function pEk;;(z), estudy its analyticproperties, some elementary properties as its integral expression,its relationship with the fractional operator of Riemann-Liouville and investigatethe fractional generalization of the kinetic equation involvingthis Mittag-Leffler type function.
Cerutti, Ruben Alejandro, Luque, Luciano Leonardo, Dorrego, Gustavo   +2 more
openaire   +3 more sources

Numerical implementation of Mittag-Leffler function: a revision study

CQD Revista Eletrônica Paulista de Matemática, 2022
This work presents a review of an algorithm to calculate the Mittag-Leffler function. In order to do it, we follow the definition of the Mittag-Leffler function in Refs.
Eberth de Almeida Correa, Leandro Xavier Cardoso, Tais Calliero Tognetti, Ronni Geraldo Gomes Amorim   +3 more
doaj  

Integral Representation of the Mittag-Leffler Function

Russian Mathematics, 2022
Generalization of the integral representation of the gamma function has been obtained, which shows that the Hankel contour assumes rotation in the complex plane. The range of admissible values for the contour rotation angle is set. Using this integral representation, generalization of the integral representation of the Mittag-Leffler function has been ...
openaire   +3 more sources

Integro-differential diffusion equation for continuous time random walk

, 2010
In this paper we present an integro-differential diffusion equation for continuous time random walk that is valid for a generic waiting time probability density function.
A. Carpinteri, A. Erdelyi, H. Risken, K. G. Wang, Kwok Sau Fa, R. Kubo   +5 more
core   +1 more source

3D investigation and modeling of the geometric effects on porosity in packed beds

AIChE Journal, EarlyView.
Abstract In porous beds, physical boundaries restrict particle arrangement, leading to inhomogeneous porosity. This paper reports on the porosity profiles that are the result of geometric effects on monodisperse packed beds in cylindrical and cubic arrangements. Special focus is given to the influence of edges and corners in cubic geometries.
Bastian Oldach, Konrad E. R. Boettcher, Alexander S. Sommer‐Behr, Norbert Kockmann   +3 more
wiley   +1 more source

The Mittag-Leffler function

, 2020
We review the function theoretical properties of the Mittag-Leffler function $E_{a,b}\left( z\right) $ in a self-contained manner, but also add new results; more than half is new!
openaire   +2 more sources

Thermal Conductance and Mass Transport of Brinkman‐Type Nanofluids Across Porous Plates: A Prabhakar‐Fractional Approach

Asia-Pacific Journal of Chemical Engineering, EarlyView.
ABSTRACT The paper establishes an advanced computing algorithm to investigate the thermosolutal dynamics of an electrically conductive Brinkman‐type nanofluid that moves in a porous channel, and the fluid is acted on by an inclined magnetic field exerted externally.
Urwa Shehbaz, Umair Khan, MD. Shamshuddin, Nermeen Abdullah, Samia Elattar   +4 more
wiley   +1 more source

Anomalous Rotational Relaxation: A Fractional Fokker-Planck Equation Approach

, 2005
In this study we obtained analytically relaxation function in terms of rotational correlation functions based on Brownian motion for complex disordered systems in a stochastic framework.
A. Erdelyi, E. N. Ivanov, Ekrem Aydıner, J. C. Maxwell, J. H. Ro, J. P. Bouchaud, J. R. McConnell, K. B. Oldham, P. Debye, R. Kohlrausch, S. Dattagupta, W. F. Brown   +11 more
core   +2 more sources