Results 1 to 10 of about 192 (182)
Fractal and FractionalThis manuscript focuses on new generalizations of q-Mittag-Leffler functions, called generalized hyper q-Mittag-Leffler functions, and discusses their regions of convergence and various fractional q operators.
Mohammed Z Alqarni +2 more
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On the Laplace integral representation of multivariate Mittag‐Leffler functions in anomalous relaxation [PDF]
Mathematical Methods in the Applied Sciences, 2016 Copyright © 2016 John Wiley & Sons, Ltd.In the given paper, a special method of representation of the Mittag-Leffler functions and their multivariate generalizations in the form of the Laplace integrals is suggested.
R R Nigmatullin +2 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. Some special cases are also presented in terms of the Wright hypergeometric function.
Singh, Prakash +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, Rachana +2 more
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On Generalized Mittag–Leffler‐Type Functions of Two Variables
Mathematical Methods in the Applied Sciences, 2023 ABSTRACT We aim to study the Mittag–Leffler‐type functions of two variables by analogy with the Appell hypergeometric functions of two variables. Moreover, we targeted functions as limiting cases of the functions and studied certain properties, as well.
Anvar Hasanov, Erkinjon Karimov
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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, Mumtaz, Ahmed, Shakeel
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Fractional Calculus of the Generalized Mittag-Leffler Type Function [PDF]
International Scholarly Research Notices, 2014 We introduce and study a new function called R-function, which is an extension of the generalized Mittag-Leffler function. We derive the relations that exist between the R-function and Saigo fractional calculus operators. Some results derived by Samko et al. (1993), Kilbas (2005), Kilbas and Saigo (1995), and Sharma and Jain (2009) are special cases of
Dinesh Kumar, Sunil Kumar
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Fractional operators with generalized Mittag-Leffler k-function [PDF]
Advances in Difference Equations, 2019 AbstractIn 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-Lefflerk-function. The results are established in terms of the generalized Wright hypergeometric function. The Euler integralk-
Shahid Mubeen, Rana Safdar Ali
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Subclasses of Spiral-Like Functions Associated With the Generalized Mittag-Leffler Function
, 2022 Due to its crucial role in handling issues with fractional order integral and differential equations, the unique transcendental operator known as a Mittag-Leffler function has drawn the interest of academics in recent years.
Jamal Salah
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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.
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