Part I: Preliminaries.- Continuous Time Random Walk.- Fractional Calculus.- Mittag-Leffler and Wright Functions.- Part II: Fractional Ordinary Differential Equations.- Cauchy Problems for Fractional ODEs.- Boundary Value Problem for Fractional ODEs.- Part III: Time-Fractional Diffusion.- Subdiffusion: Hilbert Space Theory.- Subdiffusion: Hölder Space Theory.- Mathematical Preliminaries.- Index.

Bangti Jin received the B.Eng. degree in polymeric materials and engineering in 2002, theM.Sc. degree in computational mathematics in 2005, both from Zhejiang University, Hangzhou, China, and the Ph.D. degree in applied mathematics from the Chinese University of Hong Kong, Hong Kong, in 2008. Previously, he was an Assistant Professor of mathematics at the University of California, Riverside (2013¿2014), a Visiting Assistant Professor at Texas A&M University (2010¿2013), an Alexandre von Humboldt Postdoctoral Researcher at the University of Bremen (2009¿2010). He is currently Professor of Inverse Problems at the Department of Computer Science, University College London, London, U.K. His research interests include computational inverse problems and numerical analysis of differential equations.