Results 171 to 180 of about 10,764 (212)
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Evaluation of generalized Mittag–Leffler functions on the real line
Advances in Computational Mathematics, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
R. Garrappa, M. Popolizio
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Overconvergence of series in generalized mittag-leffler functions
Fractional Calculus and Applied Analysis, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
J. Paneva-Konovska
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Generalized Fourier Multipliers via Mittag-Leffler Functions
Mediterranean Journal of MathematicsFourier multipliers have played an important role in harmonic analysis since from the outset. They play a decisive role in studying several integral operators such as singular integral operators, oscillatory integral operators, maximal functions, and Littlewood-Paley \(g\)-functions, among others.
Laith Hawawsheh, Ahmad Al-Salman
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International Conference on Advanced Energy Materials, 2019
In this article, we establish new Hadamard-type and the Fejer-Hadamard-type inequalities for the extended generalized fractional integral operator involving the extended generalized Mittag-Leffler functions for preinvexity and m-preinvexity.
S. Rashid +3 more
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In this article, we establish new Hadamard-type and the Fejer-Hadamard-type inequalities for the extended generalized fractional integral operator involving the extended generalized Mittag-Leffler functions for preinvexity and m-preinvexity.
S. Rashid +3 more
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Mathematical methods in the applied sciences, 2020
In this paper, an efficient numerical method is developed for solving a class of nonlinear fractional differential equations. The main idea is to transform the nonlinear fractional differential equations into a system of integral equations involved the ...
Yu Li, Yanming Zhang
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In this paper, an efficient numerical method is developed for solving a class of nonlinear fractional differential equations. The main idea is to transform the nonlinear fractional differential equations into a system of integral equations involved the ...
Yu Li, Yanming Zhang
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Generalized Mittag-Leffler Factorial Function with Sums
2021This research aims to express several functions, like trigonometric functions, Mittag-Leffler (ML) function. For that we have introduced Generalized Mittag-Leffler function factorial by which one can express certain functions as well as series by sum of polynomial factorials.
Jaraldpushparaj Simon +1 more
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On the generalized mittag-leffler type functions
Integral Transforms and Special Functions, 1998The paper is devoted to the study of the properties of the special functions generalizing the Mittag-Leffler type functions. The order and type of such entire functions are evaluated and recurrence relations are given. Connections with hypergeometric functions are discussed and differentiation formulae are proved.
R. Gorenflo, A.A. Kilbas, S.V. Rogosin
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Multivariate analogue of generalized Mittag-Leffler function
Integral Transforms and Special Functions, 2011Following the results of Saxena and Kalla [Solutions of Volterra-type integro-differential equations with a generalized Lauricella confluent hypergeometric function in the kernels, Int. J. Math. Math. Sci. 8 (2005), pp. 1155–1170], we introduce and develop here a theory of multivariate generalization of the Mittag-Leffler function, which is defined as:
R. K. Saxena, S. L. Kalla, Ravi Saxena
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GENERALIZED k-MITTAG-LEFFLER FUNCTION AND ITS PROPERTIES
Rocky Mountain Journal of MathematicsThe authors introduce a class of generalized \(k\)-Mittag-Leffler functions and study their main properties and relations with other relevant special functions. A convergence theorem is proved in the second section. Moreover, a nontrivial connection with differential equations is obtained.
Nathwani, Bharti V. +3 more
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On Generalized Mittag–Leffler‐Type Functions of Two Variables
Mathematical methods in the applied sciencesWe aim to study the Mittag–Leffler‐type functions of two variables D1(x,y),…,D5(x,y)$$ {D}_1\left(x,y\right),\dots, {D}_5\left(x,y\right) $$ by analogy with the Appell hypergeometric functions of two variables.
A. Hasanov, E. Karimov
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