"Fractal Analysis: Applications in Physics, Engineering and Technology" ed. by Fernando Brambila

This volume is dedicated to Fractal analysis -applications to different areas of knowledge.

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.


Contents
Preface
1 Applications of Radial Basis Function Schemes to Fractional Partial Differential Equations
2 Application of Fractional Calculus to Oil Industry
3 Fractals in Antennas and Metamaterials Applications
4 ASCCC Fractal and Its Application in Antenna Miniaturization
5 Application of Fractal Analysis While Designing of Family of Spacecraft for Needs of Space Industry
6 Specific Emitter Identification Based on Fractal Features
7 Application of Fractal Dimension in Industry Practice
8 Factors Affecting Accuracy and Precision in Measuring Material Surfaces
9 On the Indicatrixes of Waves Scattering from the Random Fractal Anisotropic Surface
10 Fractal Geometry and Porosity
11 Analysis and Application of Decaying Turbulence with Initial Fractal Geometry