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

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

open access: yesIntegral 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   +2 more
semanticscholar   +1 more source

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

open access: yesMathematics, 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

open access: yesAdvances 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   +2 more
doaj   +1 more source

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

open access: yesMathematical 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   +3 more
semanticscholar   +1 more source

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

open access: yes, 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   +34 more
core   +1 more source

Numerical implementation of Mittag-Leffler function: a revision study

open access: yesCQD 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   +3 more
doaj  

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

open access: yesMathematical 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   +3 more
semanticscholar   +1 more source

The extended Mittag-Leffler function via fractional calculus

open access: yes, 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   +5 more
semanticscholar   +1 more source

Integro-differential diffusion equation for continuous time random walk

open access: yes, 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   +5 more
core   +1 more source

Functional continuum regression [PDF]

open access: yesJournal 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

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