Results 21 to 30 of about 1,215,177 (342)
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
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Geometry of differential operators and odd Laplace operators [PDF]
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
Regularity of the obstacle problem for a fractional power of the laplace operator
Luís Silvestre
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Analysis of Volterra Integrodifferential Equations with the Fractal-Fractional Differential Operator
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
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Laplace Operator In Irregular Domain [PDF]
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
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Ten equivalent definitions of the fractional laplace operator [PDF]
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]
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
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Laplace and Dirac operators on graphs
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
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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
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Cheeger‐like inequalities for the largest eigenvalue of the graph Laplace operator [PDF]
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
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