Results 51 to 60 of about 20,113 (252)

Geometric Properties of Normalized Mittag–Leffler Functions [PDF]

Symmetry, 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 ...
Noreen, Saddaf, Raza, Mohsan, Liu, Jin-Lin, Arif, Muhammad   +3 more
openaire   +2 more sources

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

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

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

Integral 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, A. Hasanov, Michael Ruzhansky   +2 more
semanticscholar   +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

Functional Inequalities for the Mittag–Leffler Functions

Results in Mathematics, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mehrez K., Sitnik S.M.
openaire   +4 more sources

On Some Operators Involving Hadamard Derivatives [PDF]

, 2013
In this paper we introduce a novel Mittag--Leffler-type function and study its properties in relation to some integro-differential operators involving Hadamard fractional derivatives or Hyper-Bessel-type operators.
Garra, Roberto, Polito, Federico
core   +1 more source

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