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Study of the Analytic Function Related to the Le-Roy-Type Mittag-Leffler Function
We study some geometric properties (such as univalence, starlikeness, convexity, and close-to-convexity) of Le-Roy-type Mittag-Leffler function. In...
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Some properties of bivariate Mittag-Leffler function
Our findings and discussions will add to the body of knowledge on Mittag-Leffler functions. A new extended bivariate Mittag-Leffler function is being...
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An Estimate for the Multivariate Mittag-Leffler Function
In this contribution, we discuss Maes and Van Bockstal (Fract Calc Appl Anal 26(4) 2023, Lemma 5). This lemma provides a bound on the multivariate...
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A Class of Fractional Integral Operators Involving a Certain General Multiindex Mittag-Leffler Function
The paper is essentially motivated by the demonstrated potential for applications of the presented results in numerous widespread research areas,...
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Remarks on a fractional nonlinear partial integro-differential equation via the new generalized multivariate Mittag-Leffler function
Introducing a new generalized multivariate Mittag-Leffler function which is a generalization of the multivariate Mittag-Leffler function, we derive a...
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Mittag-leffler-type function of arbitrary order and their application in the fractional kinetic equation
In this paper, we stress the importance of the Mittag–Leffler function of two parameters and a single variable in the framework of mathematical...
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A novel delayed discrete fractional Mittag-Leffler function: representation and stability of delayed fractional difference system
In this paper, a delayed discrete Mittag-Leffler matrix function generated by two noncommutative square matrices is introduced. Utilizing this...
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Sum of series and new relations for Mittag-Leffler functions
An integral equation is constructed relating the three-parameter Mittag-Leffler function with a perturbed one, from which a new property is derived....
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Mittag–Leffler–Gould–Hopper polynomials: symbolic approach
The paper describes the method of symbolic evaluation that serves as a useful tool to extend the studies of certain special functions including their...
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Solvability and stability of a class of fractional Langevin differential equations with the Mittag–Leffler function
In the present paper, the solvability and stability of a class of fractional Langevin equations with integral and anti-periodic boundary conditions...
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A new weighted fractional operator with respect to another function via a new modified generalized Mittag–Leffler law
In this paper, new generalized weighted fractional derivatives with respect to another function are derived in the sense of Caputo and...
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Integral Representation of the Mittag-Leffler Function
AbstractIn this paper, we obtain a generalization of the integral representation of the gamma function, which shows that the Hankel contour allows...
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Solvability of Three Point Fractional Boundary Value Problem Using Mittag-Leffler Function
This paper is presented to learn about the existence and uniqueness of three point BVP (boundary value problems) of non-integer order
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Connections between various subclasses of planar harmonic map**s involving Mittag-Leffler functions
In this existing paper, we examine a connection between certain class of harmonic univalent functions with starlike and convex harmonic functions...
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Constructive fractional models through Mittag-Leffler functions
In recent decades, there has been a growing interest in generalizing differential equations of arbitrary order by replacing integer derivatives with...
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Short Note on Generalised Bivariate Mittag-Leffler-Type Functions
In this short note, we aim to announce our joint result with Karimov and Hasanov (On Generalized Mittag-Leffler-Type Functions of Two Variables....
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Geometric Properties of Normalized Le Roy-Type Mittag-Leffler Functions
AbstractThe main focus of the present paper is to establish sufficient conditions for the parameters of the normalized form of the generalized Le...
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Computation of the inverse Mittag–Leffler function and its application to modeling ultraslow dynamics
The inverse Mittag–Leffler function has been used to model the logarithmic growth of the mean squared displacement in anomalous diffusion, the...
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Mittag–Leffler Euler Integrator and Large Deviations for Stochastic Space-Time Fractional Diffusion Equations
Stochastic space-time fractional diffusion equations often appear in the modeling of the heat propagation in non-homogeneous medium. In this paper,...