Results 11 to 20 of about 3,948,222 (244)
Impact of a purina fractal array geometry on beamforming performance and complexity [PDF]
, 2013 This paper investigates the possible benefits of using a Purina fractal array for beamforming, since this particular fractal has recently been suggested as the flight formation for a fractionated space craft.
Weiss, Stephan +5 more
core +4 more sources
Energy-optimal steering of transitions through a fractal basin boundary. [PDF]
, 2004 We study fluctuational transitions in a discrete dy- namical system having two co-existing attractors in phase space, separated by a fractal basin boundary. It is shown that transitions occur via a unique ac- cessible point on the boundary.
Luchinsky, D. G. +3 more
core +4 more sources
Acoustics of Fractal Porous Material and Fractional Calculus
Mathematics, 2021 In this paper, we present a fractal (self-similar) model of acoustic propagation in a porous material with a rigid structure. The fractal medium is modeled as a continuous medium of non-integer spatial dimension.
Zine El Abiddine Fellah +4 more
doaj +1 more source
About Kepler’s Third Law on fractal-time spaces
Ain Shams Engineering Journal, 2018 In this paper, a mathematical model for fractal-time space is given involving Fα-calculus. Differential equations corresponding of the free fall motion and simple harmonic oscillator on fractal-time space are given and solved.
Alireza K. Golmankhaneh
doaj +1 more source
Integral Inequalities for s-Convexity via Generalized Fractional Integrals on Fractal Sets
Mathematics, 2020 In this study, we establish new integral inequalities of the Hermite−Hadamard type for s-convexity via the Katugampola fractional integral. This generalizes the Hadamard fractional integrals and Riemann−Liouville into a single form.
Ohud Almutairi, Adem Kılıçman
doaj +1 more source
Circle grid fractal plate as a turbulent generator for premixed flame: an overview [PDF]
, 2013 This review paper focuses to ascertain a new approach in turbulence generation on the structure of premixed flames and external combustion using a fractal grid pattern.
Othman, Mohd Fahmi +13 more
core +1 more source
Mathematics, 2019 In this article, we establish new Hermite−Hadamard-type inequalities via Riemann−Liouville integrals of a function ψ taking its value in a fractal subset of R and possessing an appropriate generalized s-convexity property. It
Ohud Almutairi, Adem Kılıçman
doaj +1 more source
Fractal calculus and its geometrical explanation
Results in Physics, 2018 Fractal calculus is very simple but extremely effective to deal with phenomena in hierarchical or porous media. Its operation is almost same with that by the advanced calculus, making it much accessible to all non-mathematicians.
Ji-Huan He
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Fractals via Controlled Fisher Iterated Function System
Fractal and Fractional, 2022 This paper explores the generalization of the fixed-point theorem for Fisher contraction on controlled metric space. The controlled metric space and Fisher contractions are playing a very crucial role in this research.
C. Thangaraj, D. Easwaramoorthy
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Remote Sensing, 2021 Understanding the urban land-cover spatial patterns is of particular significance for sustainable development planning. Due to the nonlinear characteristics related to the spatial pattern for land cover, it is essential to provide a new analysis method ...
Luxiao Cheng, Ruyi Feng, Lizhe Wang
doaj +1 more source