Studies of fractal structures and processes using methods of fractional calculus

Details Studies of fractal structures and processes using methods of fractional calculus Studies of fractal structures and processes using methods of fractional calculus

1998-11-04

arxiv.org/abs/chao-dyn/9811008v1

Nonlinear Sciences

Chaotic Dynamics

112 pages, thesis submitted by the author to University of Pune in Sept 1997 and defended in April 1998. Style file is include

Scientific paper

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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