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Advances in Mathematical Physics, 2013 A significant advance in characterizing the nature of the zeros and organizing the Mittag-Leffler functions into phases according to their behavior is presented. Regions have been identified in the domain of and where the Mittag-Leffler functions have
John W. Hanneken +2 more
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Fractional operators with generalized Mittag-Leffler k-function
Advances in Difference Equations, 2019 In 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-Leffler k-function.
Shahid Mubeen, Rana Safdar Ali
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Journal of Function Spaces, 2022 We consider a class of nonautonomous cellular neural networks (CNNs) with mixed delays, to study the solutions of these systems which are type pseudo almost periodicity.
Zahra Eidinejad +2 more
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Mittag-Leffler vector random fields with Mittag-Leffler direct and cross covariance functions
, 2013 Click on the DOI link to access the article (may not be free).In terms of the two-parameter Mittag-Leffler function with specified parameters, this paper introduces the Mittag-Leffler vector random field through its finite-dimensional characteristic ...
Ma, Chunsheng
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On Refinement of Bounds of Fractional Integral Operators Containing Extended Generalized Mittag-Leffler Functions [PDF]
Sahand Communications in Mathematical AnalysisIn this paper, it is aimed to improvement the boundaries of fractional integral operators containing extended generalized Mittag-Leffler functions. The offered results enhance the previously known bounds of the distinct fractional integral operators for ...
Ayşe Kübra Demirel
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Integral representations of Mittag-Leffler function on the positive real axis
Trends in Computational and Applied Mathematics, 2019 The Mittag-Leffler functions appear in many problems associated with fractional calculus. In this paper, we use the methodology for evaluation of the inverse Laplace transform, proposed by M. N.
Eliana Contharteze Grigoletto +2 more
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Certain Properties Associated with Generalized $M$-Series using Hadamard Product [PDF]
Sahand Communications in Mathematical AnalysisThe generalized $M$-series is a hybrid function of generalized Mittag-Leffler function and generalized hypergeometric function. The principal aim of this paper is to investigate certain properties resembling those of the Mittag-Leffler and ...
Dheerandra Sachan +2 more
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Mittag-Leffler functions, related topics and applications
, 2020 The 2nd edition of this book is essentially an extended version of the 1st and provides a very sound overview of the most important special functions of Fractional Calculus.
Gorenflo, Rudolf +3 more
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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2012 Two special functions, concerning Mittag-Leffler type functions, are studied. The first is the modification of generalized Mittag-Leffler function, which was introduced by A. Kilbas and M. Saigo; the second is the special case of the first one. The relation
Eugeniy N Ogorodnikov
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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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