Turán type inequalities for generalized Mittag-Leffler function
Journal of Inequalities and Applications, 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 function.
Xiang Kai Dou, Li Yin
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Some Unified Integrals for Generalized Mittag-Leffler Functions [PDF]
Axioms, 2021 Here, we ascertain generalized integral formulas concerning the product of the generalized Mittag-Leffler function. These integral formulas are described in the form of the generalized Lauricella series.
Prakash Singh +2 more
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Fractional operators with generalized Mittag-Leffler k-function [PDF]
Advances in Difference Equations, 2019 In this paper, our main aim is to deal with two integral transforms involving the Gauss hypergeometric functions as their kernels. We prove some composition formulas for such generalized fractional integrals with Mittag-Leffler k-function.
Shahid Mubeen, Rana Safdar Ali
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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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Several Turán-Type Inequalities for the Generalized Mittag-Leffler Function
Journal of Function Spaces, 2020 In this paper, several Turán-type inequalities for the more generalized Mittag-Leffler function are proved.
Xiang Kai Dou, Li Yin, Xiu-Li Lin
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Fractional Integral Inequalities of Gruss Type via Generalized Mittag-Leffler Function [PDF]
International Journal of Analysis and Applications, 2019 We use generalized fractional integral operator containing the generalized Mittag-Leffler function to establish some new integral inequalities of Gr¨uss type. A cluster of fractional integral inequalities have been identified by setting particular values
G. Farid +3 more
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Evaluation of generalized Mittag-Leffler functions on the real line [PDF]
Advances in Computational Mathematics, 2013 This paper addresses the problem of the numerical computation of generalized Mittag-Leffler functions with two parameters, with applications in fractional calculus. The inversion of their Laplace transform is an effective tool in this direction; however,
R. Garrappa +5 more
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On certain fractional calculus operators involving generalized Mittag-Leffler function [PDF]
Sahand Communications in Mathematical Analysis, 2016 The object of this paper is to establish certain generalized fractional integration and differentiation involving generalized Mittag-Leffler function defined by Salim and Faraj [25].
Dinesh Kumar
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Fractional Hermite-Hadamard inequalities containing generalized Mittag-Leffler function
Journal of Inequalities and Applications, 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 function.
Marcela V Mihai +3 more
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A Generalized q-Mittag-Leffler Function by q-Captuo Fractional Linear Equations [PDF]
Abstract and Applied Analysis, 2012 Some Caputo q-fractional difference equations are solved. The solutions are expressed by means of a new introduced generalized type of q-Mittag-Leffler functions. The method of successive approximation is used to obtain the solutions.
Thabet Abdeljawad +2 more
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