Fractional Diffusion Equations and Anomalous Diffusion

Nonfiction, Science & Nature, Science, Physics, Mathematical Physics, Mathematics
Cover of the book Fractional Diffusion Equations and Anomalous Diffusion by Luiz Roberto Evangelista, Ervin Kaminski Lenzi, Cambridge University Press
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Author: Luiz Roberto Evangelista, Ervin Kaminski Lenzi ISBN: 9781108663489
Publisher: Cambridge University Press Publication: January 25, 2018
Imprint: Cambridge University Press Language: English
Author: Luiz Roberto Evangelista, Ervin Kaminski Lenzi
ISBN: 9781108663489
Publisher: Cambridge University Press
Publication: January 25, 2018
Imprint: Cambridge University Press
Language: English

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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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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