On the Fractal Langevin Equation
Young Researchers and Elite Club, Urmia Branch, Islamic Azad University, Urmia, Iran
Received: 22 February 2019 / Revised: 7 March 2019 / Accepted: 12 March 2019 / Published: 13 March 2019
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In this paper, fractal stochastic Langevin equations are suggested, providing a mathematical model for random walks on the middle-
Cantor set. The fractal mean square displacement of different random walks on the middle-
Cantor set are presented. Fractal under-damped and over-damped Langevin equations, fractal scaled Brownian motion, and ultra-slow fractal scaled Brownian motion are suggested and the corresponding fractal mean square displacements are obtained. The results are plotted to show the details.
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MDPI and ACS Style
Khalili Golmankhaneh, A. On the Fractal Langevin Equation. Fractal Fract 2019, 3, 11.
Khalili Golmankhaneh A. On the Fractal Langevin Equation. Fractal and Fractional. 2019; 3(1):11.
Khalili Golmankhaneh, Alireza. 2019. "On the Fractal Langevin Equation." Fractal Fract 3, no. 1: 11.
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