Results 31 to 40 of about 39,805 (286)

Self-Convolution and Its Invariant Properties for the Kernel Function of the Aortic Fractal Operator

Fractal and Fractional
In this paper, we explore the self-convolution of the kernel function of the aortic fractal operator. Previous research has established a model named “physical fractal”, and confirmed that the hemodynamics of the aorta can be inscribed by a fractal ...
Chaoqian Luo, Yajun Yin, Gang Peng, Tianyi Zhou, Xiaobin Yu, Dongan Li   +5 more
doaj   +1 more source

Fractional Derivative as Fractional Power of Derivative [PDF]

, 2007
Definitions of fractional derivatives as fractional powers of derivative operators are suggested. The Taylor series and Fourier series are used to define fractional power of self-adjoint derivative operator.
Berezin F. A., Berezin F. A., Brichkov Yu. A., Caputo M., Dalechky Yu. L., Hadid S. B., Karasev M. V., Korabel N., Krasnolelsky M. A., Krasnolelsky M. A., Krein S. G., Krein S. G., Le Mehaute A., Luke Y., Maslov V. P., Momani S., Oldham K. B., Samko S. G., Tarasov V. E., Tarasov V. E., Tarasov V. E., Tarasov V. E., Tarasov V. E., Tarasov V. E., VASILY E. TARASOV, Zaslavsky G. M.   +25 more
core   +1 more source

Multivariate Fractal Functions in Some Complete Function Spaces and Fractional Integral of Continuous Fractal Functions

Fractal and Fractional, 2021
There has been a considerable evolution of the theory of fractal interpolation function (FIF) over the last three decades. Recently, we introduced a multivariate analogue of a special class of FIFs, which is referred to as α-fractal functions, from the ...
Kshitij Kumar Pandey, Puthan Veedu Viswanathan   +1 more
doaj   +1 more source

Evaluation of the depressive state of mobile technical systems operator subjected to electromagnetic noise radiation

Доклады Белорусского государственного университета информатики и радиоэлектроники, 2020
This paper presents the results of the work aimed at a study of the patterns of changes in the nonlinear electroencephalogram (EEG) parameters, including fractal dimension and self-similarity exponent, when the operator is irradiated with electromagnetic
A. V. Sidorenko, M. A. Saladukha
doaj   +1 more source

Fractal Operators and Convergence Analysis in Fractional Viscoelastic Theory

Fractal and Fractional
This study delves into the convergence of operators and the viscoelastic properties of fractal ladder and tree structures. It proves the convergence of fractal stiffness operators through operator algebra, revealing a fundamental connection between ...
Xiaobin Yu, Yajun Yin
doaj   +1 more source

Dispersive Estimates for Schr\"odinger Operators with Measure-Valued Potentials in R^3

, 2011
We prove dispersive estimates for the linear Schr\"odinger evolution associated to an operator -\Delta + V, where the potential is a signed measure of fractal dimension at least 3/2.Comment: 15 ...
Goldberg, Michael
core   +1 more source

Diffusion-Reorganized Aggregates: Attractors in Diffusion Processes?

, 2000
A process based on particle evaporation, diffusion and redeposition is applied iteratively to a two-dimensional object of arbitrary shape. The evolution spontaneously transforms the object morphology, converging to branched structures.
B. Sapoval, Bernard Sapoval, L. Pietronero, L. S. Lucena, M. Filoche, M. Filoche, Marcel Filoche, P. Bak, P. Bak, P. Meakin, R. Botet, R. Wessel, S. You, T. C. Halsey, T. C. Halsey, T. Vicsek, T. Witten   +16 more
core   +1 more source

Fractal Complex Dimensions, Riemann Hypothesis and Invertibility of the Spectral Operator [PDF]

, 2013
A spectral reformulation of the Riemann hypothesis was obtained in [LaMa2] by the second author and H. Maier in terms of an inverse spectral problem for fractal strings.
Herichi, Hafedh, Lapidus, Michel L.
core  

Quantum mechanics in fractional and other anomalous spacetimes [PDF]

, 2012
We formulate quantum mechanics in spacetimes with real-order fractional geometry and more general factorizable measures. In spacetimes where coordinates and momenta span the whole real line, Heisenberg's principle is proven and the wave-functions ...
Calcagni, Gianluca, Nardelli, Giuseppe, Scalisi, Marco   +2 more
core   +2 more sources

Supraparticles Composed of Graphitic Carbon Nitride Nanoparticles and Silica‐Supported Horseradish Peroxidase as Customizable Hybrid Catalysts for Photo‐Biocatalytic Cascade Reactions in Continuous Flow

Advanced Functional Materials, EarlyView.
Herein presented supraparticles combine the nanoparticulate photocatalyst graphitic carbon nitride with the enzyme horseradish peroxidase, which is immobilized on silica nanoparticles. In an optimized compatibility range, both catalysts operate effectively within the hybrid supraparticles and catalyze a cascade reaction consisting of the photocatalytic
Bettina Herbig, Egzon Cermjani, Doris Hanselmann, Johannes Prieschl, Angelika Schmitt, Michael S. Moritz, Christian Papp, Greta Nölke, Stefano Di Fiore, Christoph Deckers, Thomas H. Rehm, Susanne Wintzheimer   +11 more
wiley   +1 more source