Results 81 to 90 of about 5,162,509 (207)

MULTIVARIATE MITTAG-LEFFLER FUNCTION

open access: yes, 2023
This thesis presents an exploration of a variant of the multivariate Mittag-Leffler function, with a focus on its properties and applications in the context of solving differential equations. The work includes several theorems related to the convergence,
Abilassan, Akmarzhan
core   +1 more source

Exploring Fractional $q$-Kinetic Equations via Generalized $q$-Mittag-Leffler Type Functions: Applications and Analysis [PDF]

open access: yesSahand Communications in Mathematical Analysis
In this study, the $q$-calculus is employed to introduce a novel generalization of the Mittag-Leffler function. In the following, we investigate a novel $q$-exponential function with five parameters, resulting in the generalized $q$-Mittag-Leffler ...
Mulugeta Dawud Ali   +2 more
doaj   +1 more source

Quantitative asymptotics for polynomial patterns in the primes

open access: yesMathematika, Volume 72, Issue 3, July 2026.
Abstract We prove quantitative estimates for averages of the von Mangoldt and Möbius functions along polynomial progressions n+P1(m),…,n+Pk(m)$n+P_1(m),\ldots, n+P_k(m)$ for a large class of polynomials Pi$P_i$. The error terms obtained save an arbitrary power of logarithm, matching the classical Siegel–Walfisz error term.
Lilian Matthiesen   +2 more
wiley   +1 more source

(h−m) $(h-m)$-convex functions and associated fractional Hadamard and Fejér–Hadamard inequalities via an extended generalized Mittag-Leffler function

open access: yesJournal 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
doaj   +1 more source

Weighted Deformed Gram Matrices for Quantum‐Inspired Learning With Applications to Biomedical Signal Analysis

open access: yesEngineering Reports, Volume 8, Issue 6, June 2026.
Graphical abstract of the (q,τ)$$ \left(q,\tau \right) $$‐deformed kernel framework for quantum‐inspired learning and biomedical signal analysis ABSTRACT This paper introduces a weighted (q,τ)$$ \left(q,\tau \right) $$‐deformed Gram matrix framework for quantum‐inspired learning systems, with particular emphasis on applications in biomedical signal ...
Rabha W. Ibrahim   +2 more
wiley   +1 more source

On Modifications of the Exponential Integral with the Mittag-Leffler Function [PDF]

open access: yesFractional Calculus and Applied Analysis, 2018
In this paper we survey the properties of the Schelkunoff modification of the Exponential integral and we generalize it with the Mittag-Leffler function. So doing we get a new special function (as far as we know) that may be relevant in linear viscoelasticity because of its complete monotonicity properties in the time domain.
Mainardi, Francesco, Masina, Enrico
openaire   +3 more sources

Rational Approximations for Oscillatory Two-Parameter Mittag-Leffler Function [PDF]

open access: yes, 2023
The two-parameter Mittag-Leffler function $E_{\alpha, \beta}$ is of fundamental importance in fractional calculus. It appears frequently in the solutions of fractional differential and integral equations.
Furati, Khaled M.   +3 more
core   +1 more source

The Mittag-Leffler Fitting of the Phillips Curve

open access: yesMathematics, 2019
In this paper, a mathematical model based on the one-parameter Mittag-Leffler function is proposed to be used for the first time to describe the relation between the unemployment rate and the inflation rate, also known as the Phillips curve. The Phillips
Tomas Skovranek
doaj   +1 more source

From Waste to Functional Snack: Drying Kinetics, Neural Network Modeling, and Utilization of Tomato Pomace in Cracker Formulation

open access: yesFood Science &Nutrition, Volume 14, Issue 6, June 2026.
This study explores a zero‐waste circular economy approach by utilizing industrial tomato pomace as a functional ingredient in cracker production. To prepare the raw material, the drying kinetics of tomato pomace were thoroughly investigated using convective oven drying (50°C–70°C) and microwave drying (240–400 W).
Tolga Kağan Tepe, Fadime Begüm Tepe
wiley   +1 more source

Oscillatory integrals for Mittag-Leffler functions with two variables

open access: yesComptes Rendus. Mathématique
In this paper we consider the problem of estimation of oscillatory integrals with Mittag-Leffler functions in two variables. The generalisation is that we replace the exponential function with the Mittag-Leffler-type function, to study oscillatory type ...
Ikromov, Isroil A.   +2 more
doaj   +1 more source

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