Studies of fractal structures and processes using methods of fractional calculus

Kiran M. Kolwankar

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arXiv · chao-dyn/9811008

Studies of fractal structures and processes using methods of fractional calculus

Kiran M. Kolwankar

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Abstract

The thesis deals with applications of fractional calculus to fractals. It introduces the notion of local fractional derivative (LFD). Fractal and multifractal functions have been studied in the thesis using LFD. New kind of equations are introduced which involve LFD and one example, local fractional Fokker-Planck equation, is studied in detail.

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Kiran M. Kolwankar. 1998-11-04. Studies of fractal structures and processes using methods of fractional calculus. https://arxiv.org/abs/chao-dyn/9811008

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