Results 31 to 40 of about 317,311 (293)
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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Structural Derivative Model for Tissue Radiation Response [PDF]
, 2017 By means of a recently-proposed metric or structural derivative, called scale-q-derivative approach, we formulate differential equation that models the cell death by a radiation exposure in tumor treatments.
Sotolongo-Costa, Oscar +1 more
core +3 more sources
, 2020 Any physical laws are scale-dependent, the same phenomenon might lead to debating theories if observed using different scales. The two-scale thermodynamics observes the same phenomenon using two different scales, one scale is generally used in the ...
Ji-Huan He, Q. Ain
semanticscholar +1 more source
Random Variables and Stable Distributions on Fractal Cantor Sets
Fractal and Fractional, 2019 In this paper, we introduce the concept of fractal random variables and their related distribution functions and statistical properties. Fractal calculus is a generalisation of standard calculus which includes function with fractal support.
Alireza Khalili Golmankhaneh +1 more
doaj +1 more source
Fractal Structure in Two-Dimensional Quantum Regge Calculus [PDF]
, 1994 We study the fractal structure of the surface in two-dimensional quantum Regge calculus by performing Monte Carlo simulation with up to 200,000 triangles.
Ambjørn +24 more
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Fractal Stochastic Processes on Thin Cantor-Like Sets
Mathematics, 2021 We review the basics of fractal calculus, define fractal Fourier transformation on thin Cantor-like sets and introduce fractal versions of Brownian motion and fractional Brownian motion. Fractional Brownian motion on thin Cantor-like sets is defined with
Alireza Khalili Golmankhaneh +1 more
doaj +1 more source
Riemann Zeroes and Phase Transitions via the Spectral Operator on Fractal Strings [PDF]
, 2012 The spectral operator was introduced by M. L. Lapidus and M. van Frankenhuijsen [La-vF3] in their reinterpretation of the earlier work of M. L. Lapidus and H. Maier [LaMa2] on inverse spectral problems and the Riemann hypothesis.
Herichi, Hafedh, Lapidus, Michel L.
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Fractal calculus for modeling electrochemical capacitors under dynamical cycling
Thermal Science, 2021 The differential model for electrochemical capacitors under dynamical cycling results in discontinuity of the electric current. This paradox makes theoretical analysis of the electrochemical capacitors much difficult, and there is not universal approach ...
Xian-Yong Liu, Yanping Liu, Zeng-Wen Wu
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Stochastic processes and mean square calculus on fractal curves [PDF]
Random Operators and Stochastic Equations, 2023 In this paper, random and stochastic processes are defined on fractal curves. Fractal calculus is used to define the cumulative distribution function, probability density function, moments, variance, and correlation function of stochastic processes on ...
Alireza Khalili Golmankhaneh +3 more
semanticscholar +1 more source
Fractional Newton-Raphson Method Accelerated with Aitken's Method
, 2021 In the following document, we present a way to obtain the order of convergence of the Fractional Newton-Raphson (F N-R) method, which seems to have an order of convergence at least linearly for the case in which the order $\alpha$ of the derivative is ...
Torres-Hernandez, A. +3 more
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