FRACTIONAL INTEGRO-DIFFERENTIAL ANALYSIS
OF HEAT AND MASS TRANSFER

L. P. Kholpanov and S. E. Zakiev

UDC 66.02:621.1:533:51-74, 536.46; 532.5; 621.762

Application of the methods of fractional integro-differential 
analysis to an inhomogeneous canonical heat-conduction (diffusion) 
equation with inhomogeneous boundary conditions has enabled us for 
the first time to reduce the canonical heat-conduction equation to 
three equations of lower order that contain fractional- derivative 
operators. Examples and an analysis of those fundamental new possibilities 
that are opened up by such an approach to a wide class of problems 
of heat and mass exchange, combustion, self-propagating high-temperature 
synthesis, etc., have been given.

Institute of Problems of Chemical Physics, Russian Academy 
of Sciences, Chernogolovka, Moscow Region, Russia; email: kholp@icp.ac.ru. 
Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 78, No. 1, pp. 
35-47, January-February, 2005. Original article submitted 
July 27, 2004.