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Langevin Equation on Fractal Curves
Seema Satin, A. D. Gangal
We analyse a random motion of a particle on a fractal curve, using Langevin approach. This involves defining a new velocity in terms of mass of the fractal curve, as defined in rec…
Random Walk and Broad Distributions on Fractal Curves
Seema Satin, A. D. Gangal
In this paper we analyse random walk on a fractal structure, specifi- cally fractal curves, using the recently develped calculus for fractal curves. We consider only unbiased rando…
Fokker Planck Equation on Fractal Curves
Seema E. Satin, Abhay Parvate, A. D. Gangal
A Fokker Planck equation on fractal curves is obtained, starting from Chapmann-Kolmogorov equation on fractal curves. This is done using the recently developed calculus on fractals…
Calculus on Fractal Curves in R^n
Abhay Parvate, Seema Satin, A. D. Gangal
A new calculus on fractal curves, such as the von Koch curve, is formulated. We define a Riemann-like integral along a fractal curve F, called F-alpha-integral, where alpha is the…