Results 31 to 40 of about 5,162,458 (169)

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

Modified Fractional Power Series Method for solving fractional partial differential equations

Scientific 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, Benedict Barnes, Isaac Kwame Dontwi, Kwaku Forkuoh Darkwah   +3 more
doaj   +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

ON EXTENSION OF MITTAG-LEFFLER FUNCTION [PDF]

, 2016
In this paper, we study the extended Mittag -Leffler function by using generalized beta function and obtain various differential properties, integral representations.
Joshi, Sunil, Pandey, Rupakshi M., Mittal, Ekta   +2 more
core   +1 more source

Laplace transform and the Mittag-Leffler function

, 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, Oliveira, E. Capelas de   +1 more
core   +1 more source

Some New Extensions on Fractional Differential and Integral Properties for Mittag-Leffler Confluent Hypergeometric Function

Fractal and Fractional, 2021
This article uses fractional calculus to create novel links between the well-known Mittag-Leffler functions of one, two, three, and four parameters.
F. Ghanim, Hiba F. Al-Janaby, Omar Bazighifan   +2 more
doaj   +1 more source

Robust generalized Mittag-Leffler synchronization of fractional order neural networks with discontinuous activation and impulses [PDF]

, 2018
Fractional order system is playing an increasingly important role in terms of both theory and applications. In this paper we investigate the global existence of Filippov solutions and the robust generalized Mittag-Leffler synchronization of fractional ...
Cao, Jinde, A. Pratap, C. Sowmiya, Pratap, A., Jinde Cao, G. Rajchakit, R. Raja, Bagdasar, Ovidiu, O. Bagdasar, Raja, R., Sowmiya, C., Rajchakit, Grienggrai   +11 more
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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  

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

, 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  

On the p-k-Mittag-Leffler function

, 2017
In this paper, we define the function pE γ k,α,β(z), estudy its analytic properties, some elementary properties as its integral expression, its relationship with the fractional operator of Riemann-Liouville and investigate the fractional ...
Dorrego, Gustavo, Dorrego, Gustavo Abel, Luciano L. Luque, Cerutti, Rubén Alejandro, Luque, Luciano Leonardo, Ruben A. Cerutti, Gustavo A. Dorrego   +6 more
core   +1 more source