Open access peer-reviewed Edited Volume

Fractal Analysis

Applications in Physics, Engineering and Technology

Edited by Fernando Brambila

Universidad Autónoma de la Ciudad de México, Mexico

Fractal analysis has entered a new era. The applications to different areas of knowledge have been surprising. Let us begin with the fractional calculus-fractal geometry relationship, which allows for modeling with extreme precision of phenomena such as diffusion in porous media with fractional partial differential equations in fractal objects. Where the order of the equation is the same as the fractal dimension, this allows us to make calculations with enormous precision in diffusion phenomena-particularly in the oil industry, for new spillage prevention. Main applications to industry, design of fractal antennas to receive all frequencies and that is used in all cell phones, spacecraft, radars, image processing, measure, porosity, turbulence, scattering theory. Benoit Mandelbrot, creator of fractal geometry, would have been surprised by the use of fractal analysis presented in this book: "Part I: Petroleum Industry and Numerical Analysis"; "Part II: Fractal Antennas, Spacecraft, Radars, Image Processing, and Measure"; and "Part III: Scattering Theory, Porosity, and Turbulence." It's impossible to picture today's research without fractal analysis.

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Fractal AnalysisApplications in Physics, Engineering and TechnologyEdited by Fernando Brambila

Published: June 14th 2017

DOI: 10.5772/65531

ISBN: 978-953-51-3192-2

Print ISBN: 978-953-51-3191-5

eBook (PDF) ISBN: 978-953-51-4790-9

Copyright year: 2017

Books open for chapter submissions

15235 Total Chapter Downloads

17 Crossref Citations

17 Web of Science Citations

25 Dimensions Citations


Open access peer-reviewed

1. Applications of Radial Basis Function Schemes to Fractional Partial Differential Equations

By Carlos Alberto Torres Martínez and Carlos Fuentes


Open access peer-reviewed

2. Application of Fractional Calculus to Oil Industry

By Benito F. Martínez-Salgado, Rolando Rosas-Sampayo, Anthony Torres-Hernández and Carlos Fuentes


Open access peer-reviewed

3. Fractals in Antennas and Metamaterials Applications

By Wojciech Jan Krzysztofik


Open access peer-reviewed

4. ASCCC Fractal and Its Application in Antenna Miniaturization

By Zeinab Eskandari, Asghar Keshtkar, Javad Ahmadi‐Shokouh and Leila Ghanbari


Open access peer-reviewed

5. Application of Fractal Analysis While Designing of Family of Spacecraft for Needs of Space Industry

By Andrew V. Sedelnokov and Ksenia I. Potienko


Open access peer-reviewed

6. Specific Emitter Identification Based on Fractal Features

By Janusz Dudczyk


Open access peer-reviewed

7. Application of Fractal Dimension in Industry Practice

By Vlastimil Hotař


Open access peer-reviewed

8. Factors Affecting Accuracy and Precision in Measuring Material Surfaces

By Jason A. Griggs


Open access peer-reviewed

9. On the Indicatrixes of Waves Scattering from the Random Fractal Anisotropic Surface

By Alexander A. Potapov


Open access peer-reviewed

10. Fractal Geometry and Porosity

By Oluranti Agboola, Maurice Steven Onyango, Patricia Popoola and Opeyemi Alice Oyewo


Open access peer-reviewed

11. Analysis and Application of Decaying Turbulence with Initial Fractal Geometry

By Hiroki Suzuki, Shinsuke Mochizuki, Yasuhiko Sakai and Koji Nagata


Edited Volume and chapters are indexed in

  • Worldcat
  • OpenAIRE
  • Google Scholar
  • AZ ebsco
  • Base
  • CNKI

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