Fractal Analysis
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 part...
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| Natura: | Online |
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| Lingua: | inglese |
| Pubblicazione: |
IntechOpen
2023
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| Soggetti: | |
| Accesso online: | ONIX_20231201_9789535131922_747 |
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| _version_ | 1869515544751767552 |
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| collection | Directory of Open Access Books |
| description | 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. |
| format | Online |
| id | doab-20.500.12854ir-129638 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2023 |
| publishDateRange | 2023 |
| publishDateSort | 2023 |
| publisher | IntechOpen |
| publisherStr | IntechOpen |
| record_format | ojs |
| spelling | doab-20.500.12854ir-1296382024-04-04T14:41:08Z Fractal Analysis Brambila, Fernando fractal dimension, porous media, fractal geometry, fractal antenna, metamaterials, permeability thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis::PBKJ Differential calculus and equations 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. 2023-12-01T15:47:29Z 2023-12-01T15:47:29Z 2017 book ONIX_20231201_9789535131922_747 9789535131922 9789535131915 9789535147909 https://directory.doabooks.org/handle/20.500.12854/129638 eng image/jpeg n/a https://www.intechopen.com/books/5804 https://mts.intechopen.com/storage/books/5804/authors_book/authors_book.pdf IntechOpen IntechOpen 10.5772/65531 10.5772/65531 78a36484-2c0c-47cb-ad67-2b9f5cd4a8f6 9789535131922 9789535131915 9789535147909 IntechOpen 294 open access |
| spellingShingle | fractal dimension, porous media, fractal geometry, fractal antenna, metamaterials, permeability thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis::PBKJ Differential calculus and equations Fractal Analysis |
| title | Fractal Analysis |
| title_full | Fractal Analysis |
| title_fullStr | Fractal Analysis |
| title_full_unstemmed | Fractal Analysis |
| title_short | Fractal Analysis |
| title_sort | fractal analysis |
| topic | fractal dimension, porous media, fractal geometry, fractal antenna, metamaterials, permeability thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis::PBKJ Differential calculus and equations |
| topic_facet | fractal dimension, porous media, fractal geometry, fractal antenna, metamaterials, permeability thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis::PBKJ Differential calculus and equations |
| url | ONIX_20231201_9789535131922_747 |