Studies of fractal structures and processes using methods of fractional\n calculus

1998/11/04 by Kiran M. Kolwankar, Kolwankar, Kiran M. · 1 citation
Mathematics · Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #Fractional Differential Equations Solutions #Mathematical Dynamics and Fractals #Mathematical and Theoretical Analysis #chao-dyn #nlin.CD

paper · pdf · doi:10.48550/arxiv.chao-dyn/9811008

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

arxiv created 1998/11/04 · openalex publication_date 1998/11/04 · arxiv updated 2009/11/30 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28

Abstract

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

Citations

• The Fractal Geometry of Nature

Cited by

• Local Fractional Calculus: a Review

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