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.
Publisher: Cambridge University Press
Number of pages: 358
Weight: 870 g
Dimensions: 255 x 179 x 20 mm
'This is a very advanced book ... The aim of the book is to disseminate recent results in the field. I would recommend it to people with a specialised interest in anomalous diffusion.' John Bartlett, Mathematics Today
'This book is devoted to the study of anomalous diffusion phenomena in order to provide an updated literature on this topic as well as to discuss a wide class of problems where this process occurs.' Raffaella Servadei, ZB Math Reviews