Results 21 to 30 of about 5,162,458 (169)

Estimations of fractional integral operators for convex functions and related results

open access: yesAdvances in Difference Equations, 2020
This research investigates the bounds of fractional integral operators containing an extended generalized Mittag-Leffler function as a kernel via several kinds of convexity.
Zhihua Chen   +3 more
doaj   +1 more source

Beta Operator with Caputo Marichev-Saigo-Maeda Fractional Differential Operator of Extended Mittag-Leffler Function

open access: yesAdvances in Mathematical Physics, 2021
In this paper, a beta operator is used with Caputo Marichev-Saigo-Maeda (MSM) fractional differentiation of extended Mittag-Leffler function in terms of beta function.
Tayyaba Manzoor   +3 more
doaj   +1 more source

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

open access: yesJournal 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   +3 more
doaj   +1 more source

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

open access: yesJournal 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

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

open access: yes, 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

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

open access: yesSahand 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   +1 more
doaj   +1 more source

Grüss Type k-Fractional Integral Operator Inequalities and Allied Results

open access: yesInternational 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   +5 more
doaj   +1 more source

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

open access: yesArab 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

More on the Unified Mittag–Leffler Function

open access: yes, 2022
Symmetry is a fascinating property of numerous mathematical notions. In mathematical analysis a function f:[a,b]→R symmetric about a+b2 satisfies the equation f(a+b−x)=f(x).
Kamsing Nonlaopon   +3 more
core   +1 more source

Some properties relating to the Mittag-Leffler function of two variables [PDF]

open access: yes, 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,
Ruzhansky, M, Bin-Saad, MG, Hasanov, A
core   +2 more sources

Home - About - Disclaimer - Privacy