Fractional Diffusion Equations and Anomalous Diffusion
By
Luiz Roberto Evangelista (Author) Ervin Kaminski Lenzi (Author)
Hardback
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Description
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. 2 Tables, black and white; 4 Halftones, black and white; 88 Line drawings, black and white
About the Author
Luiz Roberto Evangelista is Professor of Theoretical Physics at the Universidade Estadual de Maringa, Brazil. His research interests lie in complex fluids, complex systems, and history of physics, and include mathematical physics of liquid crystals, diffusion problems, and adsorption-desorption phenomena. Ervin Kaminski Lenzi is Associate Professor at the Universidade Estadual de Ponta Grossa, Brazil. His research interests are in complex systems and stochastic processes, and include anomalous diffusion processes, usual and fractional diffusion equations, and modern boundary value problems with applications in liquid-crystalline systems and impedance spectroscopy.
More Details
- Contributor: Luiz Roberto Evangelista
- Imprint: Cambridge University Press
- ISBN13: 9781107143555
- Number of Pages: 358
- Packaged Dimensions: 179x255x20mm
- Packaged Weight: 870
- Format: Hardback
- Publisher: Cambridge University Press
- Release Date: 2018-01-25
- Binding: Hardback
- Biography: Luiz Roberto Evangelista is Professor of Theoretical Physics at the Universidade Estadual de Maringa, Brazil. His research interests lie in complex fluids, complex systems, and history of physics, and include mathematical physics of liquid crystals, diffusion problems, and adsorption-desorption phenomena. Ervin Kaminski Lenzi is Associate Professor at the Universidade Estadual de Ponta Grossa, Brazil. His research interests are in complex systems and stochastic processes, and include anomalous diffusion processes, usual and fractional diffusion equations, and modern boundary value problems with applications in liquid-crystalline systems and impedance spectroscopy.
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