Results 51 to 60 of about 534,889 (233)

Some properties relating to the Mittag–Leffler function of two variables

Integral transforms and special functions, 2021
An attempt is made here to study the Mittag–Leffler function with two variables. Its various properties including integral and operational relationships with other known Mittag–Leffler functions of one variable, pure and differential recurrence relations,
M. Bin-Saad, A. Hasanov, Michael Ruzhansky   +2 more
semanticscholar   +1 more source

A Class of Extended Mittag–Leffler Functions and Their Properties Related to Integral Transforms and Fractional Calculus

Mathematics, 2015
In a joint paper with Srivastava and Chopra, we introduced far-reaching generalizations of the extended Gammafunction, extended Beta function and the extended Gauss hypergeometric function.
Rakesh K. Parmar
doaj   +1 more source

Fractional derivatives of the generalized Mittag-Leffler functions

Advances in Difference Equations, 2018
In this paper, we derive the compositions of the fractional derivatives with the Shukla function, a four-parameter Mittag-Leffler function. We investigate and compare the difference between the Riemann–Liouville and Caputo derivatives of the generalized ...
Denghao Pang, Wei Jiang, Azmat U. K. Niazi   +2 more
doaj   +1 more source

On a Unified Mittag-Leffler Function and Associated Fractional Integral Operator

Mathematical Problems in Engineering, 2021
The aim of this paper is to unify the extended Mittag-Leffler function and generalized Q function and define a unified Mittag-Leffler function. Both the extended Mittag-Leffler function and generalized Q function can be obtained from the unified Mittag ...
Yanyan Zhang, G. Farid, Z. Salleh, Ayyaz Ahmad   +3 more
semanticscholar   +1 more source

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

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  

m‐Parameter Mittag–Leffler function, its various properties, and relation with fractional calculus operators

Mathematical methods in the applied sciences, 2021
A number of Mittag–Leffler functions are defined in the literature which have many applications across various areas of physical, biological, and applied sciences and are used in solving problems of fractional order differential, integral, and difference
R. Agarwal, Ankita Chandola, Rupakshi Mishra Pandey, Kottakkaran Sooppy Nisar   +3 more
semanticscholar   +1 more source

The extended Mittag-Leffler function via fractional calculus

, 2017
In this study, our main attempt is to introduce fractional calculus (fractional integral and differential) operators which contain the following new family of extended Mittag-Leffler function: E γ;q,c α,β (z) = ∞ ∑ n=0 Bp(γ+nq, c− γ)(c)nq B(γ, c− γ)Γ(αn ...
G. Rahman, D. Baleanu, M. A. Qurashi, S. Purohit, S. Mubeen, M. Arshad   +5 more
semanticscholar   +1 more source

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

Functional continuum regression [PDF]

Journal of Multivariate Analysis 173: 328-346 (2019), 2019
Functional principal component regression (PCR) can fail to provide good prediction if the response is highly correlated with some excluded functional principal component(s). This situation is common since the construction of functional principal components never involves the response.
arxiv   +1 more source