Results 11 to 20 of about 5,162,509 (207)

On the p-k-Mittag-Leffler function [PDF]

Applied Mathematical Sciences, 2017
In this paper, we define the function pEk;;(z), estudy its analyticproperties, some elementary properties as its integral expression,its relationship with the fractional operator of Riemann-Liouville and investigatethe fractional generalization of the kinetic equation involvingthis Mittag-Leffler type function.
Cerutti, Ruben Alejandro, Luque, Luciano Leonardo, Dorrego, Gustavo   +2 more
openaire   +4 more sources

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   +2 more sources

Certain Unified Integrals Involving a Multivariate Mittag–Leffler Function

Axioms, 2021
A remarkably large number of unified integrals involving the Mittag–Leffler function have been presented. Here, with the same technique as Choi and Agarwal, we propose the establishment of two generalized integral formulas involving a multivariate ...
Shilpi Jain, Ravi P. Agarwal, Praveen Agarwal, Prakash Singh   +3 more
doaj   +2 more sources

A Two-Way Convolution of the Mittag-Leffler Function with Sheffer Polynomials

Mathematics
This article presents a two-way convolution of the Mittag-Leffler function with Sheffer polynomials via the umbral algebraic method, thereby introducing the Mittag-Leffler–Sheffer polynomials (MLSPs) and the Sheffer–Mittag-Leffler function (SMLF).
Waseem Ahmad Khan, Areefa Khatoon, Khidir Shaib Mohamed, Muntasir Suhail, Habeeb Ibrahim, Naglaa Mohammed   +5 more
doaj   +2 more sources

A Matrix Mittag–Leffler Function and the Fractional Nonlinear Partial Integro-Differential Equation in ℝⁿ

Fractal and Fractional, 2023
In this paper, we introduce the matrix Mittag–Leffler function, which is a generalization of the multivariate Mittag–Leffler function, in order to investigate the uniqueness of the solutions to a fractional nonlinear partial integro-differential equation
Chenkuan Li, Joshua Beaudin, Azedine Rahmoune, Walid Remili   +3 more
doaj   +2 more sources

On asymptotics of discrete Mittag-Leffler function [PDF]

Mathematica Bohemica, 2014
On the base of the backward fractional \(h\)-sum \[ \nabla_h^{-\mu} f(t_n) := \frac{h}{\Gamma_h(\mu)} \sum\limits_{k=1}^{n} (t_{n-k+1})_h^{(\mu-1)} f(t_k),\tag{1} \] the following fractional \(h\)-differences are considered -- the Riemann-Liouville backward fractional \(h\)-differences \[ {}_{\text{R-L}} \nabla_h^{\alpha} f(t_n) := \nabla_h \nabla_h^{-(
Nechvátal, Luděk
openaire   +3 more sources

Turán type inequalities for generalized Mittag-Leffler function. [PDF]

J Inequal Appl, 2017
In this paper, we show several Turán type inequalities for a generalized Mittag-Leffler function with four parameters via the ( p , k ) $(p,k)$ -gamma ...
Dou XK, Yin L.
europepmc   +2 more sources

Some properties of analytic functions involving the Mittag-Leffler function [PDF]

, 2021
Mittag-Leffler fonksiyonu 1903 yılında İsveçli matematikçi Magnus Gustav Mittag-Leffler tarafından tanımlanmıştır.Daha sonra, araştırmacılar farklı parametreler ilave ederek bu fonksiyonu genelleştirmiştir. 2015 yılında, Bansal vePrajabat, Mittag-Leffler
Mert, Oya, Çetinkaya, Asena
core   +1 more source

Existence and Stability Results on Hadamard Type Fractional Time-Delay Semilinear Differential Equations

Mathematics, 2020
A delayed perturbation of the Mittag-Leffler type matrix function with logarithm is proposed. This combines the classic Mittag–Leffler type matrix function with a logarithm and delayed Mittag–Leffler type matrix function. With the help of this introduced
Nazim Mahmudov, Areen Al-Khateeb
doaj   +1 more source

The calculation of the Mittag-Leffler function

International Journal of Computer Mathematics, 2021
The problem of calculating the Mittag-Leffler function $E_{ρ,μ} (z)$ is considered in the paper. To solve this problem integral representations for the function $E_{ρ,μ}(z)$ are transformed in such a way that they could not contain complex variables and parameters.
openaire   +3 more sources