Results 31 to 40 of about 19,869 (230)
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 +17 more
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Mittag–Leffler Function as an Approximant to the Concentrated Ferrofluid’s Magnetization Curve
Fractal and Fractional, 2021 In this work, we show that the static magnetization curve of high-concentrated ferrofluids can be accurately approximated by the Mittag–Leffler function of the inverse external magnetic field.
P. Ryapolov, E. Postnikov
semanticscholar +1 more source
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 +3 more
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Numerical evaluation of Mittag-Leffler functions
Calcolo, 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 ...
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Mittag-Leffler functions in superstatistics [PDF]
Chaos, 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).
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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 +3 more
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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
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Some properties relating to the Mittag–Leffler function of two variables
Integral transforms and special functions, 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,
M. Bin-Saad +2 more
semanticscholar +1 more source
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 +3 more
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A Comprehensive Study on the Zeros of the Two-Parameter Mittag-Leffler Function [PDF]
Sahand Communications in Mathematical AnalysisThe 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
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