Results 21 to 30 of about 1,749 (183)

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

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 Remarks on Estimate of Mittag-Leffler Function

Journal of Function Spaces, 2019
The estimate of Mittag-Leffler function has been widely applied in the dynamic analysis of fractional-order systems in some recently published papers. In this paper, we show that the estimate for Mittag-Leffler function is not correct.
Jia Jia, Zhen Wang, Xia Huang, Yunliang Wei   +3 more
doaj   +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

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

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

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

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