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This book focuses on modeling the anomalous diffusion phenomena,
being ubiquitous in the natural world. Both the microscopic models
(stochastic processes) and macroscopic models (partial differential
equations) have been built up. The relationships between the two
kinds of models are clarified, and based on these models, some
statistical observables are analyzed. From statistics to
mathematics, the built models show their power with their
associated applications.This book is important for students to
develop basic skills to be able to succeed in their future
research. In addition to introducing the related models or methods,
it also provides the corresponding applications and simulation
results, which will attract more readers ranging from
mathematicians to physicists or chemists, to name a few.
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