Results 21 to 30 of about 1,345 (201)
Fractional calculus of generalized p-k-Mittag-Leffler function using Marichev–Saigo–Maeda operators
Arab Journal of Mathematical Sciences, 2019 In this paper, we establish fractional integral and derivative formulas involving the generalized p-k-Mittag-Leffler function by using Marichev–Saigo–Maeda type fractional integral and derivative operators.
M. Kamarujjama, N.U. Khan, Owais Khan
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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. In addition, we also gave affirmative answers to two open problems posed by Mehrez and Sitnik.
Xiang Kai Dou, Li Yin, Xiu-Li Lin
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Fractional Integral Inequalities of Gruss Type via Generalized Mittag-Leffler Function
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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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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Journal of Inequalities and Applications, 2019 The aim of this paper is to present the Hadamard and the Fejér–Hadamard integral inequalities for (h−m) $(h-m)$-convex functions due to an extended generalized Mittag-Leffler function.
Shin Min Kang +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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On generalized fractional integral with multivariate Mittag-Leffler function and its applications
Alexandria Engineering Journal, 2022 The fractional calculus (FC) has been extensively studied by researchers due to its vast applications in sciences in the last few years. In fractional calculus, multivariate Mittag–Leffler functions are considered the powerful extension of the classical ...
Amna Nazir +6 more
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Generalized Fractional Integral Operators Involving Mittag-Leffler Function [PDF]
Abstract and Applied Analysis, 2018 The aim of this paper is to study various properties of Mittag-Leffler (M-L) function. Here we establish two theorems which give the image of this M-L function under the generalized fractional integral operators involving Fox’s H-function as kernel.
Hafte Amsalu, D. L. Suthar
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Jackson Differential Operator Associated with Generalized Mittag–Leffler Function
Fractal and Fractional, 2023 Quantum calculus plays a significant role in many different branches such as quantum physics, hypergeometric series theory, and other physical phenomena.
Adel A. Attiya +2 more
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