Results 21 to 30 of about 10,320 (199)

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

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

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

New Estimations of Hermite–Hadamard Type Integral Inequalities for Special Functions

Fractal and Fractional, 2021
In this paper, we propose some generalized integral inequalities of the Raina type depicting the Mittag–Leffler function. We introduce and explore the idea of generalized s-type convex function of Raina type.
Hijaz Ahmad, Muhammad Tariq, Soubhagya Kumar Sahoo, Jamel Baili, Clemente Cesarano   +4 more
doaj   +1 more source

Matrix-Variate Statistical Distributions and Fractional Calculus [PDF]

, 2011
MSC 2010: 15A15, 15A52, 33C60, 33E12, 44A20, 62E15 Dedicated to Professor R. Gorenflo on the occasion of his 80th birthdayA connection between fractional calculus and statistical distribution theory has been established by the authors recently.
Haubold, H., Mathai, A.
core   +1 more source

Fuzzy Approximate Solutions of Matrix-Valued Fractional Differential Equations by Fuzzy Control Functions

Mathematics, 2023
We apply Mittag–Leffler-type functions to introduce a class of matrix-valued fuzzy controllers which help us to propose the notion of multi-stability (MS) and to obtain fuzzy approximate solutions of matrix-valued fractional differential equations in ...
Safoura Rezaei Aderyani, Reza Saadati, Donal O’Regan, Fehaid Salem Alshammari   +3 more
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

Generalized Mittag-Leffler Distributions and Processes for Applications in Astrophysics and Time Series Modeling

, 2010
Geometric generalized Mittag-Leffler distributions having the Laplace transform $\frac{1}{1+\beta\log(1+t^\alpha)},00$ is introduced and its properties are discussed.
A Erdélyi, AG Pakes, AJ Lawrance, C Jacques, C Tsallis, CR Rao, DN Anderson, DN Dewald, DP Gaver, GD Lin, GD Lin, GD Lin, GD Lin, HJ Haubold, K Jayakumar, K Jayakumar, K Jayakumar, K Weron, L Devroye, LB Klebanov, RK Saxena, RK Saxena, RK Saxena, RN Pillai, RN Pillai, RN Pillai, RN Pillai, RN Pillai, S Kotz, S Kotz, TJ Kozubowski, TJ Kozubowski, V Seetha Lekshmi, V Seetha Lekshmi, Y Fujita   +34 more
core   +1 more source

Close-to-convexity and partial sums for normalized Le Roy-type $ q $-Mittag-Leffler functions

AIMS Mathematics
In recent years, researchers have explored the properties of close-to-convexity and partial sums for various Mittag-Leffler functions, including $ q $-Mittag-Leffler, Bernas Mittag-Leffler, and Le Roy-type Mittag-Leffler functions.
Khaled Matarneh, Suha B. Al-Shaikh, Mohammad Faisal Khan, Ahmad A. Abubaker, Javed Ali   +4 more
doaj   +1 more source

Biased Continuous-Time Random Walks with Mittag-Leffler Jumps

Fractal and Fractional, 2020
We construct admissible circulant Laplacian matrix functions as generators for strictly increasing random walks on the integer line. These Laplacian matrix functions refer to a certain class of Bernstein functions.
Thomas M. Michelitsch, Federico Polito, Alejandro P. Riascos   +2 more
doaj   +1 more source