Results 111 to 120 of about 3,918 (208)

On the Mittag-Leffler function

, 2018
Orientador: Edmundo Capelas de OliveiraDissertação (mestrado profissional) - Universidade Estadual de Campinas, Instituto de Matematica, Estatistica e Computação CientificaResumo: Neste trabalho abordamos um estudo da equação diferencial ordinária ...
Rosendo, Danilo Castro
core  

A study of generalized Mittag-Leffler-type function of arbitrary order

Demonstratio Mathematica
We present a novel generalized Mittag-Leffler-type function of arbitrary order in this study. We look into its fundamental characteristics, such as differential formulas, recurrence relations, integral representations, the Euler, Laplace, Mellin ...
Bin-Saad Maged, Younis Jihad
doaj   +1 more source

On the Mittag-Leffler Function connection to Spiral like functions

In this study, we evoke the connection between a Mittag-Leffler function with a subclass of spiral like functions.
Ali Omar
core   +1 more source

A study of integral formulas for the generalized p-k-Mittag–Leffler function

Mathematics Open
This paper presents a comprehensive system of integration formulas for the generalized p-k-Mittag–Leffler function. By extending and synthesizing multiple mathematical results through the properties of the k-Gamma function, we derive general integral ...
Anu Arora, Shilpi Jain
doaj   +1 more source

Computing the Mittag-Leffler function of a matrix argument

Fractional Calculus and Applied Analysis
AbstractIt is well-known that the two-parameter Mittag-Leffler (ML) function plays a key role in Fractional Calculus. In this paper, we address the problem of computing this function, when its argument is a square matrix. Effective methods for solving this problem involve the computation of higher order derivatives or require the use of mixed precision
openaire   +3 more sources

Integral transforms of the S-functions

Le Matematiche, 2015
The object of this paper is to introduce a new special function, which will be called S-function. This function is an extension of the generalized Mittag-Leffler function due to Prabhakar [7], generalized Mittag-Leffler function introduced by Srivastava ...
Jitendra Daiya, Ram Kishore Saxena
doaj  

General fractional integral inequalities for convex and m-convex functions via an extended generalized Mittag-Leffler function. [PDF]

J Inequal Appl, 2018
Farid G, Khan KA, Latif N, Rehman AU, Mehmood S.   +4 more
europepmc   +1 more source

Generalizations of some fractional integral inequalities via generalized Mittag-Leffler function. [PDF]

J Inequal Appl, 2017
Abbas G, Khan KA, Farid G, Rehman AU.
europepmc   +1 more source

A further extension of Mittag-Leffler function

In this paper an extended generalized Mittag-Leffler function Eδ,r,q,c ρ,σ, (z; p) and the corresponding fractional integral operator ηw,δ,q,r,c a+,ρ,σ, are defined and used to obtain generalizations of Opial-type inequalities due to Mitrinović and ...
Andrić M., Farid G., Pečarić J.
core   +1 more source