Dynamics of Fractal in Euclidean and Measure Spaces: A Recent Study

Authors

  • Md. Shahidul Islam Department of Mathematics, University of Dhaka, Bangladesh.
  • Md. Jahurul Islam Department of Mathematics, University of Dhaka, Bangladesh.

DOI:

https://doi.org/10.9734/bpi/nupsr/v13/11641D

Keywords:

Cantor set, Lebesgue measure, iterated function system, Barnsley-Hutchison multifunction and Markov operator

Abstract

We discussed iterated function system of generalized Cantor sets and different types of Sierpinski triangles. We formulated iterated function systems of two dimensional Box fractal and Square carpet also formulated iterated function systems of three-dimensional fractals such as the Menger sponge, the Sierpinski tetrahedron, and the Octahedron fractal.  

Published

2021-08-05

How to Cite

Md. Shahidul Islam, & Md. Jahurul Islam. (2021). Dynamics of Fractal in Euclidean and Measure Spaces: A Recent Study. Newest Updates in Physical Science Research Vol. 13, 43–60. https://doi.org/10.9734/bpi/nupsr/v13/11641D

Issue

Newest Updates in Physical Science Research Vol. 13

Section

Chapters