Quaternionic Closed Operators, Fractional Powers and Fractional Diffusion Processes

Download or read book Quaternionic Closed Operators, Fractional Powers and Fractional Diffusion Processes written by Fabrizio Colombo and published by Springer. This book was released on 2019-07-10 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a new theory for evolution operators and a new method for defining fractional powers of vector operators. This new approach allows to define new classes of fractional diffusion and evolution problems. These innovative methods and techniques, based on the concept of S-spectrum, can inspire researchers from various areas of operator theory and PDEs to explore new research directions in their fields. This monograph is the natural continuation of the book: Spectral Theory on the S-Spectrum for Quaternionic Operators by Fabrizio Colombo, Jonathan Gantner, and David P. Kimsey (Operator Theory: Advances and Applications, Vol. 270).