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Van der Corput lemmas for Mittag-Leffler functions. I [PDF]
In this paper, we study analogues of the van der Corput lemmas involving Mittag-Leffler functions. The generalisation is that we replace the exponential function with the Mittag-Leffler-type function, to study oscillatory type integrals appearing in the ...
Torebek, Berikbol T., Ruzhansky, Michael
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, 2011 Οι συναρτήσεις Mittag-Leffler χρησιμοποιούνται στις κλασματικές διαφορικές εξισώσεις, διότι η λύση τους εκφράζεται με τις συναρτήσεις Mittag-Leffler και γενικεύσεις αυτών.
Ρίζος, Δημήτριος
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Special Functions with Applications to Mathematical Physics
, 2023 This MDPI booklet lists the articles published in three Special Issues of the journal Mathematics devoted to special functions with applications in mathematical physics in the years 2020–2021.The call for papers considered theories and applications of ...
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Series in Mittag-Leffler Functions: Inequalities and Convergent Theorems [PDF]
, 2010 MSC 2010: 30A10, 30B10, 30B30, 30B50, 30D15, 33E12In studying the behaviour of series, defined by means of the Mittag-Leffler functions, on the boundary of its domain of convergence in the complex plane, we prove Cauchy-Hadamard, Abel, Tauber and ...
Paneva-Konovska, Jordanka
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A study of integral formulas for the generalized p-k-Mittag–Leffler function
Mathematics OpenThis paper presents a comprehensive system of integration formulas for the generalized p-k-Mittag–Leffler function. By extending and synthesizing multiple mathematical results through the properties of the k-Gamma function, we derive general integral ...
Anu Arora, Shilpi Jain
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On some properties of generalized mittag-leffler functions
, 2021 YÖK Tez No: 704650Bu tez beş ana bölümden oluşmaktadır. Birinci bölümde, Mittag-Leffler fonksiyonlarının çeşitli tipleri ve bu fonksiyonların tarihsel gelişiminden bahsedilmiştir.
Topbaş, Ayşe
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Results in Physics, 2018 It has become a conjecture that power series like Mittag-Leffler functions and their variants naturally govern solutions to most of generalized fractional evolution models such as kinetic, diffusion or relaxation equations. Is this always true?
Emile Franc Doungmo Goufo +2 more
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ON A MULTIVARIABLE CLASS OF MITTAG-LEFFLER TYPE FUNCTIONS
Journal of Applied Analysis & Computation, 2016 Summary: The present paper studies and investigates a class of Mittag-Leffler type multivariable functions. We derive the necessary convergence conditions and establish several properties associated with this class and those related with the corresponding class of fractional integral operators.
Parmar, Rakesh Kumar +2 more
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On differentiation with respect to parameters of the functions of the Mittag-Leffler type [PDF]
The formal term-by-term differentiation with respect to parameters is demonstrated to be legitimate for the Mittag-Leffler type functions. The justification of differentiation formulas is made by using the concept of the uniform convergence.
Rogosin, Sergei V. +2 more
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Mittag‐Leffler state estimator design and synchronization analysis for fractional‐order BAM neural networks with time delays [PDF]
, 2019 This paper deals with the extended design of Mittag-Leffler state estimator and adaptive synchronization for fractional order BAM neural networks (FBNNs) with time delays.
Cao, J. +10 more
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