Results 21 to 30 of about 11,986 (150)

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

Advances 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, Adnan Khan, Kahsay Godifey Wubneh, Hafte Amsalu Kahsay   +3 more
doaj   +1 more source

Some New Fractional-Calculus Connections between Mittag–Leffler Functions

Mathematics, 2019
We consider the well-known Mittag−Leffler functions of one, two and three parameters, and establish some new connections between them using fractional calculus.
Hari M. Srivastava, Arran Fernandez, Dumitru Baleanu   +2 more
doaj   +1 more source

Remarks on a fractional nonlinear partial integro-differential equation via the new generalized multivariate Mittag-Leffler function

Boundary Value Problems, 2023
Introducing a new generalized multivariate Mittag-Leffler function which is a generalization of the multivariate Mittag-Leffler function, we derive a sufficient condition for the uniqueness of solutions to a brand new boundary value problem of the ...
Chenkuan Li, Reza Saadati, Joshua Beaudin, Andrii Hrytsenko   +3 more
doaj   +1 more source

Novel Low-Pass Two-Dimensional Mittag–Leffler Filter and Its Application in Image Processing

Fractal and Fractional, 2023
This paper presents an innovative Mittag–Leffler two-dimensional filter and its application in image processing. The proposed filter leverages the utilization of a Mittag–Leffler function within the probability density function.
Ivo Petráš
doaj   +1 more source

Monte Carlo simulation of uncoupled continuous-time random walks yielding a stochastic solution of the space-time fractional diffusion equation [PDF]

, 2008
We present a numerical method for the Monte Carlo simulation of uncoupled continuous-time random walks with a Levy alpha-stable distribution of jumps in space and a Mittag-Leffler distribution of waiting times, and apply it to the stochastic solution of ...
A. I. Saichev, D. ben Avraham, Daniel Fulger, Enrico Scalas, G. Germano, Guido Germano, I. Podlubny, J. von Neumann, L. Devroye, N. J. Ford, R. Gorenflo, S. G. Samko, S. Kotz, S. Mittnik, T. A. M. Langlands, T. J. Kozubowski, W. Feller, W. H. Press   +17 more
core   +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   +1 more source

Mittag-Leffler Functions and Their Applications

Journal of Applied Mathematics, 2011
Motivated essentially by the success of the applications of the Mittag-Leffler functions in many areas of science and engineering, the authors present, in a unified manner, a detailed account or rather a brief survey of the Mittag-Leffler function ...
H. J. Haubold, A. M. Mathai, R. K. Saxena   +2 more
doaj   +1 more source

Estimations of fractional integral operators for convex functions and related results

Advances 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, Ghulam Farid, Atiq Ur Rehman, Naveed Latif   +3 more
doaj   +1 more source

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

Journal 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

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