Results 11 to 20 of about 16,772 (314)
Quantum Vacuum Energy of Self-Similar Configurations
Universe, 2021 We offer in this review a description of the vacuum energy of self-similar systems. We describe two views of setting self-similar structures and point out the main differences.
Inés Cavero-Peláez +2 more
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A powerful and simple frequency formula to nonlinear fractal oscillators
Journal of Low Frequency Noise, Vibration and Active Control, 2021 In this work, a fractal nonlinear oscillator is successfully established by fractal derivative in a fractal space, and its variational principle is obtained by semi-inverse transform method.
Kang-Le Wang, Chun-Fu Wei
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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
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Potential spaces on fractals [PDF]
Studia Mathematica, 2005 In this paper, \((X,\rho)\) is a separable complete metric space equipped with a locally finite Radon measure \(\mu\) whose support is \(X\), and \(G(t,x,y)\) is a stochastically complete heat kernel (or transition density) associated to \((X,\rho,\mu)\), satisfying a two-sided estimate. The authors consider particular examples in which \((X,\rho)\) is
Hu, Jiaxin, Zähle, Martina
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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
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Fractal Pull-in Stability Theory for Microelectromechanical Systems
Frontiers in Physics, 2021 Pull-in instability was an important phenomenon in microelectromechanical systems (MEMS). In the past, MEMS were usually assumed to work in an ideal environment.
Dan Tian +3 more
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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
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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
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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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