Results 1 to 10 of about 2,646 (211)
Differentiation of the Mittag-Leffler Functions with Respect to Parameters in the Laplace Transform Approach [PDF]
Mathematics, 2020 In this work, properties of one- or two-parameter Mittag-Leffler functions are derived using the Laplace transform approach. It is demonstrated that manipulations with the pair direct–inverse transform makes it far more easy than previous methods to ...
Alexander Apelblat
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Some New Fractional-Calculus Connections between Mittag–Leffler Functions [PDF]
Mathematics, 2019 We consider the well-known Mittag−Leffler functions of one, two and three parameters, and establish some new connections between them using fractional calculus.
Hari M. Srivastava +2 more
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Modified Mittag-Leffler Functions with Applications in Complex Formulae for Fractional Calculus [PDF]
Fractal and Fractional, 2020 Mittag-Leffler functions and their variations are a popular topic of study at the present time, mostly due to their applications in fractional calculus and fractional differential equations.
Arran Fernandez, Iftikhar Husain
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Taylor Series for the Mittag–Leffler Functions and Their Multi-Index Analogues [PDF]
Mathematics, 2022 It has been obtained that the n-th derivative of the 2-parametric Mittag–Leffler function is a 3-parametric Mittag–Leffler function, with exactness to a constant.
Jordanka Paneva-Konovska
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Dirichlet Averages of Generalized Mittag-Leffler Type Function
Fractal and Fractional, 2022 Since Gösta Magus Mittag-Leffler introduced the so-called Mittag-Leffler function in 1903 and studied its features in five subsequent notes, passing the first half of the 20th century during which the majority of scientists remained almost unaware of the
Dinesh Kumar, Jeta Ram, Junesang Choi
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Fractal and Fractional, 2021 This article uses fractional calculus to create novel links between the well-known Mittag-Leffler functions of one, two, three, and four parameters.
F. Ghanim +2 more
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Mittag–Leffler Functions in Discrete Time
Fractal and Fractional, 2023 In this paper, we give an efficient way to calculate the values of the Mittag–Leffler (h-ML) function defined in discrete time hN, where h>0 is a real number. We construct a matrix equation that represents an iteration scheme obtained from a fractional h-
Ferhan M. Atıcı +2 more
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Estimations of fractional integral operators for convex functions and related results
Advances in Difference Equations, 2020 This research investigates the bounds of fractional integral operators containing an extended generalized Mittag-Leffler function as a kernel via several kinds of convexity.
Zhihua Chen +3 more
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Journal of Inequalities and Applications, 2023 In this paper, we propose a generalized Gronwall inequality in the context of the ψ-Hilfer proportional fractional derivative. Using Picard’s successive approximation and the definition of Mittag–Leffler functions, we construct the representation formula
Weerawat Sudsutad +4 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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