Results 11 to 20 of about 532,955 (292)
Mittag-Leffler Functions and Their Applications [PDF]
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 +2 more
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Bicomplex Mittag-Leffler function and associated properties [PDF]
Journal of Nonlinear Sciences and Applications, 2021 With the increasing importance of the Mittag-Leffler function in physical applications, these days many researchers are studying various generalizations and extensions of the Mittag-Leffler function.
R. Agarwal, Urvashi Sharma, R. Agarwal
semanticscholar +5 more sources
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
McLean, W
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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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Quasi-Diffusion Imaging: Application to Ultra-High b-Value and Time-Dependent Diffusion Images of Brain Tissue. [PDF]
NMR BiomedQuasi‐Diffusion Imaging (QDI) signal transitions from stretched exponential to negative power law behaviour at ultra‐high b‐values via an inflection point (data and fits shown for representative (a) grey and (b) white matter voxels). QDI is parameterised by the (c) diffusion coefficient, D1,2 (in mm2s−1) and (d) apparent exponent, α, allowing ...
Barrick TR, Ingo C, Hall MG, Howe FA.
europepmc +2 more sources
Fractional calculus operators with Appell function kernels applied to Srivastava polynomials and extended Mittag-Leffler function [PDF]
, 2020 This article aims to establish certain image formulas associated with the fractional calculus operators with Appell function in the kernel and Caputo-type fractional differential operators involving Srivastava polynomials and extended Mittag-Leffler ...
K. S. Nisar +3 more
semanticscholar +2 more sources
The extended Mittag-Leffler function and its properties [PDF]
Journal of Inequalities and Applications, 2014 In this paper, we present the extended Mittag-Leffler functions by using the extended Beta functions (Chaudhry et al. in Appl. Math. Comput. 159:589-602, 2004) and obtain some integral representations of them.
Banu Yılmaz, Mehmet Ali Özarslan
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The Prabhakar or three parameter Mittag-Leffler function: Theory and application [PDF]
Communications in nonlinear science & numerical simulation, 2017 R. Garra, R. Garrappa
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Self-similar Cauchy problems and generalized Mittag-Leffler functions
, 2019 By observing that the fractional Caputo derivative can be expressed in terms of a multiplicative convolution operator, we introduce and study a class of such operators which also have the same self-similarity property as the Caputo derivative. We proceed
Patie, P., Srapionyan, A.
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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.
Rubén A. Cerutti +2 more
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