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...

Ausführliche Beschreibung

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Bibliographische Detailangaben
Hauptverfasser: Evangelista, Luiz Roberto 1958- (VerfasserIn), Lenzi, Ervin Kaminski 1975- (VerfasserIn)
Format: Buch
Sprache:English
Veröffentlicht: Cambridge Cambridge University Press 2018
Schlagworte:
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:xiii, 345 pages
ISBN:9781107143555

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