Results 51 to 60 of about 734,785 (209)

Analytical Solution of a Fractional Model of Fluid Flow Through Narrowing System in Terms of Mittag-Leffler Function

International Journal of Applied Mechanics and Engineering, 2020
In this work, we discuss a fractional model of a flow equation in a simple pipeline. Pipeline narrowing is a crucial aspect in drinking water distribution processes, sewage system and in oil-well schemes.
A. Choudhary, D. Kumar, J. Singh
doaj   +1 more source

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

Mathematical Methods in the Applied Sciences, Volume 49, Issue 13, Page 14964-15009, 15 September 2026.
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

WEIGHTED INTEGRABILITY RESULTS FOR FIRST HANKEL-CLIFFORD TRANSFORM

Проблемы анализа, 2023
We obtain sufficient conditions for the weighted integrability of the first Hankel-Clifford transforms of functions from generalized integral Lipschitz classes.
S. S. Volosivets
doaj  

Multiple Bound States in the Continuum in Deep‐Subwavelength Nonlocal Polar Dielectric Nanoparticles

Nanophotonics, Volume 15, Issue 15, 13 August 2026.
Spatial dispersion in polar‐dielectric core–shell nanoparticles enable multiple deep‐subwavelength bound states in the continuum through longitudinal‐transverse hybrid modes. By suppressing radiative damping at finite geometrical parameters, these nonlocality‐induced BICs provide a compact platform for high Q light confinement, enhanced light–matter ...
Man Lin, Ye Zhang, Xiaofeng Xu, Fengchuan Xu, Yunqiao Yin, Jie Luo, Lei Gao   +6 more
wiley   +1 more source

Vortical Differential Scattering of Spatio‐Temporal Optical Vortex With Arbitrarily Oriented Orbital Angular Momentum by Chiral Spherical Particle

Nanophotonics, Volume 15, Issue 15, 13 August 2026.
The vortical differential scattering of spatiotemporal optical vortices by chiral particles is investigated. It is revealed that a longitudinal orbital angular momentum component is essential for inducing vortical dichroism, whereas a purely transverse OAM yields no chiral response.
Yiyu Shi, Zhiwei Cui, Zhanfei Liu, Shiguo Chen, Xinxing Zhou   +4 more
wiley   +1 more source

Semi‐Analytical Solution of Time‐Harmonic Soil–Pile Interaction Using Love Numbers in Transversely Isotropic and Layered Half‐Spaces

International Journal for Numerical and Analytical Methods in Geomechanics, Volume 50, Issue 11, Page 4691-4705, 10 August 2026.
ABSTRACT An efficient semi‐analytical approach based on the Fourier–Bessel series (FBS) system of vector functions and the stiffness matrix method is proposed to study the dynamic response of axially loaded piles embedded in transversely isotropic (TI) layered soil.
Quoc Kinh Tran, Thi‐My‐Linh Huynh, Ernian Pan, Chih‐Ping Lin, Yehya Rasool, Fazle Ghaffar   +5 more
wiley   +1 more source

A Study on the k-Mersenne and k-Mersenne-Lucas Sequences

Universal Journal of Mathematics and Applications
In this study, we examine an application of $k-$Mersenne and $k-$Mersenne-Lucas sequences. We present the Catalan transforms of these sequences and give the properties of these Catalan transforms. Catalan transforms of $k-$Mersenne and $k-$Mersenne-Lucas
Mine Uysal, Hakan Akkuş, Bayram Şen, Engin Özkan   +3 more
doaj   +1 more source

Fourier series of functions whose Hankel transform is supported on [0, 1 [PDF]

, 1994
. Let Jµ denote the Bessel function of order µ. For α> −1, the system x−α/2−1/2Jα+2n+1(x1/2), n = 0, 1, 2,... is orthogonal on L2((0,∞), xα dx). In this paper we study the mean convergence of Fourier series with respect to this system for functions ...
Varona, J.L. [0000-0002-2023-9946], Juan L. Varona   +1 more
core   +1 more source

Finite Biorthogonal Polynomials Suggested by the Finite Orthogonal Polynomials Mnp,qx$$ {M}_n^{\left(p,q\right)}(x) $$

Mathematical Methods in the Applied Sciences, Volume 49, Issue 11, Page 12524-12538, 30 July 2026.
ABSTRACT Constructing a biorthogonal structure from scratch, that is, defining a biorthogonal pair is quite tough. Because here the orthogonality must be established between two different sets. There are four known univariate biorthogonal polynomial sets, suggested by Laguerre, Jacobi, Hermite and Szegő‐Hermite polynomials, in the literature.
Esra Güldoğan Lekesiz
wiley   +1 more source

Dirichlet type boundary value problem for an elliptic equation with three singular coefficients in the first octant

Қарағанды университетінің хабаршысы. Математика сериясы
The paper investigates a Dirichlet-type boundary value problem for a three-dimensional elliptic equation with three singular coefficients in the first octant.
K.T. Karimov, M.R. Murodova
doaj   +1 more source