Results 41 to 50 of about 3,918 (208)

Fractional calculus of generalized p-k-Mittag-Leffler function using Marichev–Saigo–Maeda operators

open access: yesArab Journal of Mathematical Sciences, 2019
In this paper, we establish fractional integral and derivative formulas involving the generalized p-k-Mittag-Leffler function by using Marichev–Saigo–Maeda type fractional integral and derivative operators.
M. Kamarujjama, N.U. Khan, Owais Khan
doaj   +1 more source

On the numerical computation of the Mittag-Leffler function [PDF]

open access: yesCommunications in Nonlinear Science and Numerical Simulation, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Duarte Valério   +1 more
openaire   +3 more sources

The Integral Mittag-Leffler, Whittaker and Wright Functions [PDF]

open access: yesMathematics, 2021
Integral Mittag-Leffler, Whittaker and Wright functions with integrands similar to those which already exist in mathematical literature are introduced for the first time. For particular values of parameters, they can be presented in closed-form. In most reported cases, these new integral functions are expressed as generalized hypergeometric functions ...
Alexander Apelblat   +1 more
openaire   +4 more sources

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

Geometric Properties of Normalized Mittag–Leffler Functions [PDF]

open access: yesSymmetry, 2019
The aim of this paper is to investigate certain properties such as convexity of order μ , close-to-convexity of order 1 + μ /2 and starlikeness of normalized Mittag–Leffler function. We use some inequalities to prove our results. We also discuss the close-to-convexity of Mittag–Leffler functions with respect to certain starlike functions ...
Saddaf Noreen   +3 more
openaire   +2 more sources

Modified Fractional Power Series Method for solving fractional partial differential equations

open access: yesScientific African
The literature revealed that the Fractional Power Series Method (FPSM), which uses the Mittag-Leffler function in one parameter, has been gainfully applied in obtaining the solutions of fractional partial differential equations (FPDEs) in one dimension ...
Isaac Addai   +3 more
doaj   +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  

Laplace transform and the Mittag-Leffler function

open access: yes, 2014
CAPES - COORDENAÇÃO DE APERFEIÇOAMENTO DE PESSOAL E NÍVEL SUPERIORThe exponential function is solution of a linear differential equation with constant coefficients, and the Mittag-Leffler function is solution of a fractional linear differential equation ...
Teodoro, G. Sales   +1 more
core   +1 more source

Sobre as funções Mittag-Leffler e o modelo fracionário de materiais viscoelásticos [PDF]

open access: yes, 2006
Tese (doutorado) - Universidade Federal de Santa Catarina, Centro Tecnológico. Programa de Pós-Graduação em Mecânica.Materiais viscoelásticos são hoje largamente aplicados em vários ramos da engenharia, com destaque para a mecânica e aeroespacial.
Moschen, Izolda Del Corno
core  

Matrix Mittag‑Leffler function in fractional systems and its computation

open access: yes, 2018
Matrix Mittag‑Leffler functions play a key role in numerous applications related to systems with fractional dynamics. That is why the methods for computing the matrix Mittag‑Leffler function are so important.
Matychyn, I., Onyshchenko, V.
core   +1 more source

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