Results 51 to 60 of about 1,215,177 (342)

Modified Atangana-Baleanu fractional operators involving generalized Mittag-Leffler function

open access: yesAlexandria Engineering Journal, 2023
In this paper, we are going to deal with fractional operators (FOs) with non-singular kernels which is not an easy task because of its restriction at the origin.
Wen-Hua Huang   +5 more
doaj  

Eigenvalues of the fractional Laplace operator in the unit ball [PDF]

open access: yesJournal of the London Mathematical Society, 2015
We describe a highly efficient numerical scheme for finding two‐sided bounds for the eigenvalues of the fractional Laplace operator (−Δ)α/2 in the unit ball D⊂Rd , with a Dirichlet condition in the complement of D . The standard Rayleigh–Ritz variational
Bartłomiej Dyda   +2 more
semanticscholar   +1 more source

Modified Edge Detector for Coloured Images

open access: yesIraqi Journal for Computers and Informatics, 2002
In this paper, a study of the role nf clour information in detecting the edges of an image was conducted Therefore, different colour spaces with components corresponding to the attribute tumance, hue, and saturation le., VHS, and LUVI were implemented ...
Ban Abdul-Rahman Al-Jubaury   +2 more
doaj   +1 more source

Hahn Laplace transform and its applications

open access: yesDemonstratio Mathematica, 2023
Like qq-calculus, Hahn calculus (or q,ωq,\omega -calculus) is constructed by defining a difference derivative operator and an integral operator. The q,ωq,\omega -analogs of the integral representations of the Laplace transform and related special ...
Hıra Fatma
doaj   +1 more source

Value of first eigenvalue of some minimal hypersurfaces embedded in the unit sphere

open access: yesAIMS Mathematics, 2023
We prove that the first nonzero eigenvalue of the Laplace-Beltrami operator of equator-like minimal submanifold embedded in the sphere $ S^{n+1} $ is equal to $ n $.
Ibrahim Aldayel
doaj   +1 more source

The Nehari manifold for a singular elliptic equation involving the fractional Laplace operator

open access: yes, 2016
In this work we study the following singular problem involving the fractional Laplace operator: (Pλ ) { L u = a(x) uγ +λ f (x,u) in Ω; u = 0, in RN \Ω, where Ω ⊂ RN , N 2 be a bounded smooth domain, a ∈C(Ω), λ is a positive parameter and 0 < γ < 1, 2 < r
A. Ghanmi, K. Saoudi
semanticscholar   +1 more source

Spectral Approach to Derive the Representation Formulae for Solutions of the Wave Equation

open access: yesJournal of Applied Mathematics, 2012
Using spectral properties of the Laplace operator and some structural formula for rapidly decreasing functions of the Laplace operator, we offer a novel method to derive explicit formulae for solutions to the Cauchy problem for classical wave equation in
Gusein Sh. Guseinov
doaj   +1 more source

Diffeomorphism invariant eigenvalue problem for metric perturbations in a bounded region

open access: yes, 1995
We suggest a method of construction of general diffeomorphism invariant boundary conditions for metric fluctuations. The case of $d+1$ dimensional Euclidean disk is studied in detail.
Barvinsky A O   +15 more
core   +1 more source

Spectral inequality and resolvent estimate for the bi-Laplace operator [PDF]

open access: yesJournal of the European Mathematical Society (Print), 2015
On a compact Riemannian manifold with boundary, we prove a spectral inequality for the bi-Laplace operator in the case of so-called "clamped" boundary conditions , that is, homogeneous Dirichlet and Neumann conditions simultaneously.
J. Rousseau, Luc Robbiano
semanticscholar   +1 more source

Nano‐Patterned CuO Nanowire Nanogap Hydrogen Gas Sensor with Voids

open access: yesAdvanced Functional Materials, Volume 35, Issue 12, March 18, 2025.
Sub‐5‐ppb hydrogen (H2) detection and sub‐10‐s response and recovery times are achieved based on nano‐patterned polycrystalline CuO nanowires nanogap gas sensors with voids using electron‐beam lithography and unique annealing processes. Pre‐H2 annealing, void‐generating oxidation, and downscaled nanogap electrodes are key to improving the sensing ...
Muqing Zhao   +4 more
wiley   +1 more source

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