Results 31 to 40 of about 192 (182)

Fractional Moment Theory for Anomalous Transport: A Unified Framework for Lévy Flights, Fractals, and Complex Dynamical Systems

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We develop a unified mathematical framework extending classical moment theory from discrete integer orders to a continuous spectrum of real orders f>0$$ f>0 $$, providing a systematic statistical characterization of complex systems exhibiting power‐law behavior.
Farrukh A. Chishtie
wiley   +1 more source

Quantitative asymptotics for polynomial patterns in the primes

Mathematika, 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, Joni Teräväinen, Mengdi Wang   +2 more
wiley   +1 more source

On a generalization of Mittag-Leffler function and its properties

Journal of Mathematical Analysis and Applications, 2007
It is introduced a generalization of the classical Mittag-Leffler function, namely \[ E_{\alpha,\beta}^{\gamma, q}(z) = \sum\limits_{n=0}^{\infty} \frac{\Gamma(\gamma + q n)}{\Gamma(q) \Gamma(\alpha n +\beta)} \frac{z^n}{n!}.\tag{1} \] Algebraic relations, as well as differentiation formulas are determined.
Shukla, A.K., Prajapati, J.C.
openaire   +1 more source

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

Engineering 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, Dumitru Baleanu, Soheil Salahshour   +2 more
wiley   +1 more source

Some Properties of Mittag-Leffler Functions and Matrix-Variate Analogues: A Statistical Perspective [PDF]

, 2010
Mathematical Subject Classification 2010:26A33, 33E99, 15A52, 62E15.Mittag-Leffler functions and their generalizations appear in a large variety of problems in different areas. When we move from total differential equations to fractional equations Mittag-
Mathai, A.
core  

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

Food 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

Hadamard-Type Inequalities for Generalized Integral Operators Containing Special Functions

, 2022
Convex functions are studied very frequently by means of the Hadamard inequality. A symmetric function leads to the generalization of the Hadamard inequality; the Fejér–Hadamard inequality is one of the generalizations of the Hadamard ...
Muhammad Yussouf, Kamsing Nonlaopon, Chahnyong Jung, Ghulam Farid   +3 more
core   +1 more source

Numerical Modeling of Inertial Particles in Three‐Dimensional Fluid Flow

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.
ABSTRACT The motion of inertial particles in a fluid is modeled by the Maxey–Riley–Gatignol equation (MaRGE). The MaRGE contains an integral term that arises due to the viscous diffusion of vorticity in the fluid around the particle. Because it makes MaRGE difficult to solve numerically, the integral term is often neglected or approximated, despite its
Vamika Rathi, Daniel Ruprecht
wiley   +1 more source

Infinity‐operadic foundations for embedding calculus

Journal of Topology, Volume 19, Issue 2, June 2026.
Abstract Motivated by applications to spaces of embeddings and automorphisms of manifolds, we consider a tower of ∞$\infty$‐categories of truncated right modules over a unital ∞$\infty$‐operad O$\mathcal {O}$. We study monoidality and naturality properties of this tower, identify its layers, describe the difference between the towers as O$\mathcal {O}$
Manuel Krannich, Alexander Kupers
wiley   +1 more source

Generalizations of some fractional integral inequalities for m-convex functions via generalized Mittag-Leffler function

, 2018
In this paper we are interested to present some general fractional integral inequalities for m-convex functions by involving generalized Mittag-Leffler function. In particular we produce inequalities for several kinds of fractional integrals.
Ghulam Abbas, FARID, Ghulam, ABBAS, Ghulam, Ghulam Farid   +3 more
core   +1 more source