Results 41 to 50 of about 5,422,443 (208)

A Comprehensive Study on the Zeros of the Two-Parameter Mittag-Leffler Function [PDF]

Sahand Communications in Mathematical Analysis
The Mittag-Leffler function appears as an analytical solution of some fractional differential equations. The behavior of the zeros of the Mittag-Leffler function, especially their asymptotic distribution, plays a fundamental role in the study of ...
Farnoosh Abooali, Aliasghar Jodayree Akbarfam   +1 more
doaj   +1 more source

On Modifications of the Gamma Function by Using Mittag-Leffler Function

Journal of Mathematics, 2021
Mittag-Leffler function is a natural generalization of the exponential function. Recent applications of Mittag-Leffler function have reshaped the scientific literature due to its fractional effects that cannot be obtained by using exponential function ...
Asifa Tassaddiq, Abdulrahman Alruban
doaj   +1 more source

Hadamard and Fejér–Hadamard inequalities for extended generalized fractional integrals involving special functions

Journal of Inequalities and Applications, 2018
In this paper we prove the Hadamard and the Fejér–Hadamard inequalities for the extended generalized fractional integral operator involving the extended generalized Mittag-Leffler function.
Shin Min Kang, Ghulam Farid, Waqas Nazeer, Bushra Tariq   +3 more
doaj   +1 more source

Grüss Type k-Fractional Integral Operator Inequalities and Allied Results

International Journal of Analysis and Applications, 2023
This paper aims to derive fractional Grüss type integral inequalities for generalized k-fractional integral operators with Mittag-Leffler function in the kernel.
Ghulam Farid, Sajid Mehmood, Laxmi Rathour, Mawahib Elamin, Huda Uones Mohamd Ahamd, Neama Yahia   +5 more
doaj   +1 more source

SEMIGROUP-LIKE PROPERTY OF MITTAG-LEFFLER FUNCTION [PDF]

, 2016
In this article, we discuss the semigroup-like property of Mittag-Leffler function which is used to solve the initial value problem of an ordinary differential equation involving Caputo fractional ...
Guswanto, Bambang Hendriya
core   +1 more source

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

Arab 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

Matrix Mittag‑Leffler function in fractional systems and its computation [PDF]

, 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

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