Language : English
Published : 2018-01-25
Pages : 395
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 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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About the Author
Helen R. Quinn is professor emerita of particle physics and astrophysics at the Stanford Linear Accelerator Center at Stanford University. A member of the National Academy of Sciences, she is the coauthor of “The Charm of Strange Quarks: Mysteries and Revolutions of Particle Physics”. Yossi Nir is professor of physics at the Weizmann Institute of Science in Israel.
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