Results 11 to 20 of about 3,918 (208)
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.
Tayyaba Manzoor +3 more
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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 +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 +6 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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Fractional derivatives of the generalized Mittag-Leffler functions
Advances in Difference Equations, 2018 In this paper, we derive the compositions of the fractional derivatives with the Shukla function, a four-parameter Mittag-Leffler function. We investigate and compare the difference between the Riemann–Liouville and Caputo derivatives of the generalized ...
Wei Jiang +2 more
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Note on generalized Mittag-Leffler function. [PDF]
Springerplus, 2016 The present paper deals with the study of a generalized Mittag-Leffler function and associated fractional operator. The operator has been discussed in the space of Lebesgue measurable functions. The composition with Riemann-Liouville fractional integration operator has been obtained.
Desai R, Salehbhai IA, Shukla AK.
europepmc +4 more sources
Turán type inequalities for generalized Mittag-Leffler function. [PDF]
J Inequal Appl, 2017 In this paper, we show several Turán type inequalities for a generalized Mittag-Leffler function with four parameters via the ( p , k ) $(p,k)$ -gamma ...
Dou XK, Yin L.
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Fractional Hermite-Hadamard inequalities containing generalized Mittag-Leffler function. [PDF]
J Inequal Appl, 2017 The objective of this paper is to establish some new refinements of fractional Hermite-Hadamard inequalities via a harmonically convex function with a kernel containing the generalized Mittag-Leffler ...
Mihai MV, Awan MU, Noor MA, Noor KI.
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Some properties of analytic functions involving the Mittag-Leffler function [PDF]
, 2021 Mittag-Leffler fonksiyonu 1903 yılında İsveçli matematikçi Magnus Gustav Mittag-Leffler tarafından tanımlanmıştır.Daha sonra, araştırmacılar farklı parametreler ilave ederek bu fonksiyonu genelleştirmiştir. 2015 yılında, Bansal vePrajabat, Mittag-Leffler
Mert, Oya, Çetinkaya, Asena
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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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