Results 81 to 90 of about 1,130,981 (257)

The Formal Invariance of Fractal Operators Under Laplace Transform

open access: yesFractal and Fractional
This paper focuses on the invariant properties of fractal operators and aims to achieve the axiomatization of the theory of fractal operators. Building upon the derivative and integral theorems of the Laplace transform, we redefine the time differential ...
Yajun Yin   +4 more
doaj   +1 more source

An Efficient Analytical Technique, for The Solution of Fractional-Order Telegraph Equations

open access: yesMathematics, 2019
In the present article, fractional-order telegraph equations are solved by using the Laplace-Adomian decomposition method. The Caputo operator is used to define the fractional derivative.
Hassan Khan   +4 more
doaj   +1 more source

On a new class of exact solutions of Quasi-Hydrodynamic system, generated by eigenfunctions of two-dimensional Laplace operator

open access: diamond, 2022
Вера Владимировна Григорьева   +1 more
openalex   +2 more sources

Well-posed problems for the Laplace-Beltrami operator on a stratified set consisting of punctured circles and segments

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы
The Laplace-Beltrami operator is studied on a stratified set consisting of two punctured circles and an interval. A complete description of all well-posed boundary value problems for the Laplace-Beltrami operator on such a set is given.
B.E. Kanguzhin   +2 more
doaj   +1 more source

Topology-controlled Laplace–Beltrami operator on point clouds based on persistent homology

open access: yesGraphical Models
Computing the Laplace–Beltrami operator on point clouds is essential for tasks such as smoothing and shape analysis. Unlike meshes, determining the Laplace–Beltrami operator on point clouds requires establishing neighbors for each point.
Ao Zhang   +3 more
doaj   +1 more source

An application to Kato's square root problem

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2002
We find all complex potentials Q such that the general Schrödinger operator on ℝn, given by L=−Δ+Q, where Δ is the Laplace differential operator, verifies the well-known Kato's square problem. As an application, we will consider the case where Q∈Lloc1(Ω)
Toka Diagana
doaj   +1 more source

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