Results 21 to 30 of about 13,122 (219)

Dirichlet Averages of Generalized Mittag-Leffler Type Function

Fractal and Fractional, 2022
Since Gösta Magus Mittag-Leffler introduced the so-called Mittag-Leffler function in 1903 and studied its features in five subsequent notes, passing the first half of the 20th century during which the majority of scientists remained almost unaware of the
Dinesh Kumar, Jeta Ram, Junesang Choi
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Generalized Integral Transform and Fractional Calculus Operators Involving a Generalized Mittag-Leffler (ML)-Type Function

Computer Sciences & Mathematics Forum, 2023
In this paper, we consider a generalized Mittag-Leffler (ML)-type function and establish several integral formulas involving Jacobi and related transforms. We also establish some of the composition of generalized fractional derivative formulas associated
Ankit Pal
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A basic study of a fractional integral operator with extended Mittag-Leffler kernel

AIMS Mathematics, 2021
In this present paper, the basic properties of an extended Mittag-Leffler function are studied. We present some fractional integral and differential formulas of an extended Mittag-Leffler function.
Gauhar Rahman, Iyad Suwan, Kottakkaran Sooppy Nisar, Thabet Abdeljawad, Muhammad Samraiz, Asad Ali   +5 more
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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
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Novel Generalized Low-Pass Filter with Adjustable Parameters of Exponential-Type Forgetting and Its Application to ECG Signal

Sensors, 2022
In this paper, a novel form of the Gaussian filter, the Mittag–Leffler filter is presented. This new filter uses the Mittag–Leffler function in the probability-density function.
Ivo Petráš
doaj   +1 more source

On Multi-Index Mittag–Leffler Function of Several Variables and Fractional Differential Equations

Journal of Mathematics, 2021
In this paper, we have studied a unified multi-index Mittag–Leffler function of several variables. An integral operator involving this Mittag–Leffler function is defined, and then, certain properties of the operator are established.
B. B. Jaimini, Manju Sharma, D. L. Suthar, S. D. Purohit   +3 more
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Taylor Series for the Mittag–Leffler Functions and Their Multi-Index Analogues

Mathematics, 2022
It has been obtained that the n-th derivative of the 2-parametric Mittag–Leffler function is a 3-parametric Mittag–Leffler function, with exactness to a constant.
Jordanka Paneva-Konovska
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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

Laplace Operator with Caputo-Type Marichev–Saigo–Maeda Fractional Differential Operator of Extended Mittag-Leffler Function

Discrete Dynamics in Nature and Society, 2021
In this paper, the Laplace operator is used with Caputo-Type Marichev–Saigo–Maeda (MSM) fractional differentiation of the extended Mittag-Leffler function in terms of the Laplace function.
Adnan Khan, Tayyaba Manzoor, Hafte Amsalu Kahsay, Kahsay Godifey Wubneh   +3 more
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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