Results 21 to 30 of about 1,215,177 (342)

Laplace Operator with Caputo-Type Marichev–Saigo–Maeda Fractional Differential Operator of Extended Mittag-Leffler Function

open access: yesDiscrete Dynamics in Nature and Society, 2021
In this paper, the Laplace operator is used with Caputo-Type Marichev–Saigo–Maeda (MSM) fractional differentiation of the extended Mittag-Leffler function in terms of the Laplace function.
Adnan Khan   +3 more
doaj   +1 more source

Geometry of differential operators and odd Laplace operators [PDF]

open access: greenRussian Mathematical Surveys, 2003
We solve the following problem: to describe in geometric terms all differential operators of the second order with a given principal symbol. Initially the operators act on scalar functions. Operator pencils acting on densities of arbitrary weights appear naturally in the course of study.
Th. Th. Voronov, H. M. Khudaverdian
openalex   +4 more sources

Analysis of Volterra Integrodifferential Equations with the Fractal-Fractional Differential Operator

open access: yesComplexity, 2023
In this paper, a class of integrodifferential equations with the Caputo fractal-fractional derivative is considered. We study the exact and numerical solutions of the said problem with a fractal-fractional differential operator.
null Kamran   +5 more
doaj   +1 more source

Laplace Operator In Irregular Domain [PDF]

open access: yesمجلة جامعة الانبار للعلوم الصرفة, 2014
The aim of this paper is to prove that Laplace operator depending on nine points in irregular domains is of order two in addition, some examples as an applications for this operator are given.
Ali A. Mhassin
doaj   +1 more source

Ten equivalent definitions of the fractional laplace operator [PDF]

open access: yes, 2015
This article discusses several definitions of the fractional Laplace operator L = — (—Δ)α/2 in Rd , also known as the Riesz fractional derivative operator; here α ∈ (0,2) and d ≥ 1.
M. Kwaśnicki
semanticscholar   +1 more source

Diagram Technique for the Heat Kernel of the Covariant Laplace Operator [PDF]

open access: yesTheoretical and mathematical physics, 2019
We present a diagram technique used to calculate the Seeley–DeWitt coefficients for a covariant Laplace operator. We use the combinatorial properties of the coefficients to construct a matrix formalism and derive a formula for an arbitrary coefficient.
A. Ivanov
semanticscholar   +1 more source

Laplace and Dirac operators on graphs

open access: yesLinear and Multilinear Algebra, 2022
Discrete versions of the Laplace and Dirac operators haven been studied in the context of combinatorial models of statistical mechanics and quantum field theory. In this paper we introduce several variations of the Laplace and Dirac operators on graphs, and we investigate graph-theoretic versions of the Schr dinger and Dirac equation.
Beata Casiday   +4 more
openaire   +2 more sources

Evolution of the first eigenvalue of the Laplace operator and the p-Laplace operator under a forced mean curvature flow

open access: yesOpen Mathematics, 2020
In this paper, we discuss the monotonicity of the first nonzero eigenvalue of the Laplace operator and the p-Laplace operator under a forced mean curvature flow (MCF).
Qi Xuesen, Liu Ximin
doaj   +1 more source

Cheeger‐like inequalities for the largest eigenvalue of the graph Laplace operator [PDF]

open access: yesJournal of Graph Theory, 2019
We define a new Cheeger‐like constant for graphs and we use it for proving Cheeger‐like inequalities that bound the largest eigenvalue of the normalized Laplace operator.
J. Jost, R. Mulas
semanticscholar   +1 more source

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