Presents a unified treatment of anomalous diffusion problems using fractional calculus in a wide range of applications across scientific and technological disciplines.
Presents a unified treatment of anomalous diffusion problems using fractional calculus in a wide range of applications across scientific and technological disciplines.
Luiz Roberto Evangelista is Professor of Theoretical Physics at the Universidade Estadual de Maringá, Brazil. His research interests lie in complex fluids, complex systems, and history of physics, and include mathematical physics of liquid crystals, diffusion problems, and adsorption-desorption phenomena.
Inhaltsangabe
Preface 1. Mathematical preliminaries 2. A survey of the fractional calculus 3. From normal to anomalous diffusion 4. Fractional diffusion equations: elementary applications 5. Fractional diffusion equations: surface effects 6. Fractional nonlinear diffusion equation 7. Anomalous diffusion: anisotropic case 8. Fractional Schrödinger equations 9. Anomalous diffusion and impedance spectroscopy 10. The Poisson-Nernst-Planck anomalous (PNPA) models References Index.
