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KEY NOTE LECTURE
TIME-SPACE-FRACTIONAL MODELS OF ANOMALOUS DIFFUSION
Physical basis, approximate solutions and analysis for application in material science
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Jordan Hristov Department of Chemical Engineering University of Chemical Technology and Metallurgy 1756 Sofia, 8 Kl. Ohridsky Blvd., Bulgaria Email: jordan.hristov@mail.bg |
Abstract
The lecture presents the physical basis and the mathematical approach to model anomalous diffusion emerging in new materials and special processes by space and time- fractional diffusion equations. The main approaches for solution of the existing models from pure mathematical basis parallel to the approximate integral-balance method involving space-fractional derivatives of Riemann-Liouville and Caputo are presented.
Keywords: fractional diffusion, subdiffusion, superdiffusion, solutions
Biography
Professor Jordan Yankov Hristov was born in Dupnitza town on 7th September 1954. He has graduated from Electrical Engineering (Measurements), Technical University- Sofia in 1979. He is working at the Department of Chemical Engineering, University of Chemical Technology and Metallurgy from Sofia. Starting from a position of a technician, even though he was a graduated engineer, he was promoted in the next 3 years to a research fellow. He has obtained his Ph. D degree in 1994 in Chemical Engineering. He was promoted in 1998 to the associate professor position and in January 2014 as a professor of Chemical Engineering. The main research area developed more than 30 years was the fluidization, especially, external field effects (magnetic or electric) for controlling the bed hydrodynamics and consequently the performed heat and mass transfer operations. Professor Hristov supervised 6 PhD theses and more than 25 M.Sc. theses. He obtained a NATO fellowship at the Center for Studies on Risk Technologies (CERTEC), University Politecnica de Catalunya, Barcelona. He published more than 135 papers and he obtained more than 700 citations. Since 2009, Professor Jordan Yankov Hristov is the Editor-in Chief of the International Review of Chemical Engineering-Rapid Communications and since 2012 he become the Editor in Chief of the International Journal on Advanced Materials and Technologies.
