Fractional diffusion equations and anomalous diffusion:
Anomalous diffusion has been detected in a wide variety of scenarios, from fractal media, systems with memory, transport processes in porous media, to fluctuations of financial markets, tumour growth, and complex fluids. Providing a contemporary treatment of this process, this book examines the rece...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2018
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| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 UBA01 URL des Erstveröffentlichers |
| Zusammenfassung: | Anomalous diffusion has been detected in a wide variety of scenarios, from fractal media, systems with memory, transport processes in porous media, to fluctuations of financial markets, tumour growth, and complex fluids. Providing a contemporary treatment of this process, this book examines the recent literature on anomalous diffusion and covers a rich class of problems in which surface effects are important, offering detailed mathematical tools of usual and fractional calculus for a wide audience of scientists and graduate students in physics, mathematics, chemistry and engineering. Including the basic mathematical tools needed to understand the rules for operating with the fractional derivatives and fractional differential equations, this self-contained text presents the possibility of using fractional diffusion equations with anomalous diffusion phenomena to propose powerful mathematical models for a large variety of fundamental and practical problems in a fast-growing field of research |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 19 Jan 2018) |
| Beschreibung: | 1 online resource (xiii, 345 pages) |
| ISBN: | 9781316534649 |
| DOI: | 10.1017/9781316534649 |
Internformat
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| 520 | |a Anomalous diffusion has been detected in a wide variety of scenarios, from fractal media, systems with memory, transport processes in porous media, to fluctuations of financial markets, tumour growth, and complex fluids. Providing a contemporary treatment of this process, this book examines the recent literature on anomalous diffusion and covers a rich class of problems in which surface effects are important, offering detailed mathematical tools of usual and fractional calculus for a wide audience of scientists and graduate students in physics, mathematics, chemistry and engineering. Including the basic mathematical tools needed to understand the rules for operating with the fractional derivatives and fractional differential equations, this self-contained text presents the possibility of using fractional diffusion equations with anomalous diffusion phenomena to propose powerful mathematical models for a large variety of fundamental and practical problems in a fast-growing field of research | ||
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Datensatz im Suchindex
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| author | Evangelista, Luiz Roberto 1958- Lenzi, Ervin Kaminski 1975- |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/9781316534649 |
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| isbn | 9781316534649 |
| language | English |
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| spelling | Evangelista, Luiz Roberto 1958- Verfasser (DE-588)1153557517 aut Fractional diffusion equations and anomalous diffusion Luiz Roberto Evangelista, Ervin Kaminski Lenzi Cambridge Cambridge University Press 2018 1 online resource (xiii, 345 pages) txt rdacontent c rdamedia cr rdacarrier Title from publisher's bibliographic system (viewed on 19 Jan 2018) Anomalous diffusion has been detected in a wide variety of scenarios, from fractal media, systems with memory, transport processes in porous media, to fluctuations of financial markets, tumour growth, and complex fluids. Providing a contemporary treatment of this process, this book examines the recent literature on anomalous diffusion and covers a rich class of problems in which surface effects are important, offering detailed mathematical tools of usual and fractional calculus for a wide audience of scientists and graduate students in physics, mathematics, chemistry and engineering. Including the basic mathematical tools needed to understand the rules for operating with the fractional derivatives and fractional differential equations, this self-contained text presents the possibility of using fractional diffusion equations with anomalous diffusion phenomena to propose powerful mathematical models for a large variety of fundamental and practical problems in a fast-growing field of research Differential equations, Partial Fractional calculus Diffusion Gebrochene Analysis (DE-588)4722475-7 gnd rswk-swf Anomale Diffusion (DE-588)4532384-7 gnd rswk-swf Anomale Diffusion (DE-588)4532384-7 s Gebrochene Analysis (DE-588)4722475-7 s 1\p DE-604 Lenzi, Ervin Kaminski 1975- Verfasser (DE-588)1153848740 aut Erscheint auch als Druck-Ausgabe, hardback 9781107143555 https://doi.org/10.1017/9781316534649 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Evangelista, Luiz Roberto 1958- Lenzi, Ervin Kaminski 1975- Fractional diffusion equations and anomalous diffusion Differential equations, Partial Fractional calculus Diffusion Gebrochene Analysis (DE-588)4722475-7 gnd Anomale Diffusion (DE-588)4532384-7 gnd |
| subject_GND | (DE-588)4722475-7 (DE-588)4532384-7 |
| title | Fractional diffusion equations and anomalous diffusion |
| title_auth | Fractional diffusion equations and anomalous diffusion |
| title_exact_search | Fractional diffusion equations and anomalous diffusion |
| title_full | Fractional diffusion equations and anomalous diffusion Luiz Roberto Evangelista, Ervin Kaminski Lenzi |
| title_fullStr | Fractional diffusion equations and anomalous diffusion Luiz Roberto Evangelista, Ervin Kaminski Lenzi |
| title_full_unstemmed | Fractional diffusion equations and anomalous diffusion Luiz Roberto Evangelista, Ervin Kaminski Lenzi |
| title_short | Fractional diffusion equations and anomalous diffusion |
| title_sort | fractional diffusion equations and anomalous diffusion |
| topic | Differential equations, Partial Fractional calculus Diffusion Gebrochene Analysis (DE-588)4722475-7 gnd Anomale Diffusion (DE-588)4532384-7 gnd |
| topic_facet | Differential equations, Partial Fractional calculus Diffusion Gebrochene Analysis Anomale Diffusion |
| url | https://doi.org/10.1017/9781316534649 |
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