Why the Mittag-Leffler Function Can Be Considered the Queen Function of the Fractional Calculus? [PDF]
Entropy, 2020 In this survey we stress the importance of the higher transcendental Mittag-Leffler function in the framework of the Fractional Calculus. We first start with the analytical properties of the classical Mittag-Leffler function as derived from being the ...
Francesco Mainardi
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A fractional order control model for Diabetes and COVID-19 co-dynamics with Mittag-Leffler function☆ [PDF]
Alexandria Engineering Journal, 2022 Omame A +3 more
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Fractional optimal control of COVID-19 pandemic model with generalized Mittag-Leffler function. [PDF]
Adv Differ Equ, 2021 In this paper, we consider a fractional COVID-19 epidemic model with a convex incidence rate. The Atangana–Baleanu fractional operator in the Caputo sense is taken into account.
Khan A +5 more
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On Novel Fractional Operators Involving the Multivariate Mittag–Leffler Function [PDF]
Mathematics, 2022 The multivariate Mittag–Leffler function is introduced and used to establish fractional calculus operators. It is shown that the fractional derivative and integral operators are bounded.
Muhammad Samraiz +5 more
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AIMS Mathematics, 2022 In this article, a new generalized $ q $-Mittag-Leffler function is introduced and investigated. Motivated by the newly defined function and using the concept of differential subordination, a new subclass of multivalent functions is introduced.
Sarem H. Hadi +3 more
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Asymptotic Expansion of the Modified Exponential Integral Involving the Mittag-Leffler Function [PDF]
Mathematics, 2020 We consider the asymptotic expansion of the generalised exponential integral involving the Mittag-Leffler function introduced recently by Mainardi and Masina [Fract. Calc. Appl. Anal. 21 (2018) 1156−1169].
Richard Paris
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Fractal and Fractional, 2023 In this paper, we introduce the matrix Mittag–Leffler function, which is a generalization of the multivariate Mittag–Leffler function, in order to investigate the uniqueness of the solutions to a fractional nonlinear partial integro-differential equation
Chenkuan Li +3 more
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Some new fractional integral inequalities for exponentially m-convex functions via extended generalized Mittag-Leffler function [PDF]
Journal of Inequalities and Applications, 2019 In the article, we establish some new general fractional integral inequalities for exponentially m-convex functions involving an extended Mittag-Leffler function, provide several kinds of fractional integral operator inequalities and give certain special
Saima Rashid +4 more
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On Multi-Index Mittag–Leffler Function of Several Variables and Fractional Differential Equations
Journal of Mathematics, 2021 In this paper, we have studied a unified multi-index Mittag–Leffler function of several variables. An integral operator involving this Mittag–Leffler function is defined, and then, certain properties of the operator are established.
B. B. Jaimini +3 more
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Close-to-convexity and partial sums for normalized Le Roy-type $ q $-Mittag-Leffler functions
AIMS MathematicsIn recent years, researchers have explored the properties of close-to-convexity and partial sums for various Mittag-Leffler functions, including $ q $-Mittag-Leffler, Bernas Mittag-Leffler, and Le Roy-type Mittag-Leffler functions.
Khaled Matarneh +4 more
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