This book systematically presents solutions to the linear timefractional diffusionwave equation. It introduces the integral transform technique and discusses the properties of the MittagLeffler, Wright, and Mainardi functions that appear in the solutions. The timenonlocal dependence between the flux and the gradient of the transported quantity with the "longtail" power kernel results in the timefractional diffusionwave equation with the Caputo fractional derivative. Timenonlocal generalizations of classical Fourier's, Fick's and Darcy's laws are considered and different kinds of boundary conditions for this equation are discussed (Dirichlet, Neumann, Robin, perfect contact). The book provides solutions to the fractional diffusionwave equation with one, two and three space variables in Cartesian, cylindrical and spherical coordinates. The respective sections of the book can be used for university courses on fractional calculus, heat and mass transfer, transport processes in porous media and fractals for graduate and postgraduate students. The volume will also serve as a valuable reference guide for specialists working in applied mathematics, physics, geophysics and the engineering sciences.
About Yuriy Povstenko
Yuriy Povstenko received an M.S. degree in Mechanics from Lviv State University, Ukraine, in 1971 a Candidate degree (Ph.D.) in Physics and Mathematics from the Institute of Mathematics, Ukrainian Academy of Sciences, Lviv, Ukraine, in 1977 and his Doctor degree in Physics and Mathematics from Saint Petersburg Technical University, Russia, in 1993. He is currently a Professor at Institute of Mathematics and Computer Science, Jan Dlugosz University in Czestochowa, Poland. His research interests include fractional calculus, generalized thermoelasticity, nonlocal elasticity, surface science and imperfections in solids. He is the author of 5 books and more than 200 scientific papers.Details Book
Author  :  Yuriy Povstenko 
Publisher  :  Birkhauser Verlag AG 
Data Published  :  21 July 2015 
ISBN  :  3319179535 
EAN  :  9783319179537 
Format Book  :  PDF, Epub, DOCx, TXT 
Number of Pages  :  464 pages 
Age +  :  15 years 
Language  :  English 
Rating  : 
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