Results 11 to 20 of about 1,345 (201)
Turán type inequalities for generalized Mittag-Leffler function [PDF]
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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Fractional derivatives of the generalized Mittag-Leffler functions [PDF]
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 ...
Denghao Pang +2 more
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Fractional Hermite-Hadamard inequalities containing generalized Mittag-Leffler function [PDF]
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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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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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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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.
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Certain Unified Integrals Involving a Multivariate Mittag–Leffler Function
Axioms, 2021 A remarkably large number of unified integrals involving the Mittag–Leffler function have been presented. Here, with the same technique as Choi and Agarwal, we propose the establishment of two generalized integral formulas involving a multivariate ...
Shilpi Jain +3 more
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On the generalized fractional integrals of the generalized Mittag-Leffler function. [PDF]
Springerplus, 2014 In this paper, we employ the generalized fractional calculus operators on the generalized Mittag-Leffler function. Some results associated with generalized Wright function are obtained. Recent results of Chaurasia and Pandey are obtained as special cases.33C45, 47G20, 26A33.
Ahmed S.
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On some properties of the generalized Mittag-Leffler function. [PDF]
Springerplus, 2013 This paper deals with the study of a generalized function of Mittag-Leffler type. Various properties including usual differentiation and integration, Euler(Beta) transforms, Laplace transforms, Whittaker transforms, generalized hypergeometric series form with their several special cases are obtained and relationship with Wright hypergeometric function ...
Khan MA, Ahmed S.
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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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