Results 31 to 40 of about 13,122 (219)

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

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

open access: yesFractal 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

Numerical evaluation of Mittag-Leffler functions

open access: yesCalcolo, 2021
The Mittag-Leffler function is computed via a quadrature approximation of a contour integral representation. We compare results for parabolic and hyperbolic contours, and give special attention to evaluation on the real line. The main point of difference with respect to similar approaches from the literature is the way that poles in the integrand are ...
openaire   +4 more sources

Mittag-Leffler functions in superstatistics [PDF]

open access: yesChaos, Solitons & Fractals, 2020
Nowadays, there is a series of complexities in biophysics that require a suitable approach to determine the measurable quantity. In this way, the superstatistics has been an important tool to investigate dynamic aspects of particles, organisms and substances immersed in systems with non-homogeneous temperatures (or diffusivity).
openaire   +2 more sources

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

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

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

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

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

On certain inclusion relations of functions with bounded rotations associated with Mittag-Leffler functions

open access: yesAIMS Mathematics, 2022
Inspired essentially by the excellence of the implementations of the Mittag-Leffler functions in numerous areas of science and engineering, the authors present, in a unified manner, a detailed account of the Mittag-Leffler function and generalized Mittag-
Bushra Kanwal   +2 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

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

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