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math-ph2010★ 2 cited
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…
math-ph2009★ 2 cited
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…
math-ph2003★ 1 cited
Calculus on fractal subsets of real line - I: formulation
Abhay Parvate, A. D. Gangal
A new calculus based on fractal subsets of the real line is formulated. In this calculus, an integral of order , called -integral, is defined, which is suitabl…