English

Studies of fractal structures and processes using methods of fractional calculus

chao-dyn 2007-05-23 v1 Chaotic Dynamics

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.

Keywords

Cite

@article{arxiv.chao-dyn/9811008,
  title  = {Studies of fractal structures and processes using methods of fractional calculus},
  author = {Kiran M. Kolwankar},
  journal= {arXiv preprint arXiv:chao-dyn/9811008},
  year   = {2007}
}

Comments

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