Results 101 to 110 of about 1,100,393 (352)
Journal of Mathematics, 2020 In this paper, the authors consider a IBVP for the time-space fractional PDE with the fractional conformable derivative and the fractional Laplace operator. A fractional conformable extremum principle is presented and proved.
Tingting Guan, Guotao Wang
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[Three-dimensional reconstruction of femur based on Laplace operator and statistical shape model]. [PDF]
Sheng Wu Yi Xue Gong Cheng Xue Za Zhi, 2023 Zhang Z, Zhang X, Zhang Y, Jin Z.
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Complex Powers of the Laplace Operator on the Circle [PDF]
Proceedings of the American Mathematical Society, 1985 The classical zeta function of Lerch has an analytic continuation as a distribution on the circle which seems to be very different from its usual analytic continuation: for example, the Bernoulli polynomials come out upside down.
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Ostwald Ripening as a Tool for Controlling Dynamic Nanomaterials
Aggregate, EarlyView.This editorial highlights the potential of controlling Ostwald ripening, the net diffusion of material from smaller to larger particles. Ostwald ripening can occur in any dispersed system and therefore has the potential to be a powerful tool for both creating new nanomaterials and introducing mechanisms of time dependent behavior.
Stephen D. P. Fielden
wiley +1 more source
An Efficient Analytical Technique, for The Solution of Fractional-Order Telegraph Equations
Mathematics, 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
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Optical computation of the Laplace operator using phase-shifted Bragg grating.
Optics Express, 2014 Diffraction of a 3D optical beam on a multilayer phase-shifted Bragg grating (PSBG) is considered. It is shown that the PSBG enables optical computation of the spatial Laplace operator of the electromagnetic field components of the incident beam.
D. Bykov +3 more
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Advanced Intelligent Systems, Volume 7, Issue 3, March 2025.This review aims to provide a broad understanding for interdisciplinary researchers in engineering and clinical applications. It addresses the development and control of magnetic actuation systems (MASs) in clinical surgeries and their revolutionary effects in multiple clinical applications.
Yingxin Huo +3 more
wiley +1 more source
Radial Fuik Spectrum of the Laplace Operator
Journal of Mathematical Analysis and Applications, 1995 Let \(L: D(L)\subset H\to H\) be a linear operator in a function space \(H\). The Fučik spectrum of \(L\) is defined by \(A_ 0= \{(a, b)\in \mathbb{R}^ 2\): \(Lu= au^ +- bu^ -\) for some nontrivial \(u\}\), where \(u^ += \max\{u, 0\}\), \(u^ -= \max\{- u, a\}\). Knowledge of \(A_ 0\) is important for the existence of solutions of \(Lu= g(u)+ f\), where
Juan Campos, M. Arias
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Advanced Intelligent Systems, EarlyView.In this contribution, it is shown that miniaturized nerve stimulation implants can be used in collaborative networks. Inductive links and ultrasound are combined to supply these implants with energy and data; the advantages and disadvantages of each method, as well as safety risks and possibilities for improvement are discussed and the best ...
Benedikt Szabo +5 more
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, 2002 We analyze geometry of the second order differential operators, having in mind applications to Batalin--Vilkovisky formalism in quantum field theory. As we show, an exhaustive picture can be obtained by considering pencils of differential operators acting on densities of all weights simultaneously. The algebra of densities, which we introduce here, has
Khudaverdyan, Hovhannes +1 more
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