TY - JOUR
TI - An alternative integral-balance solutions to transient diffusion of heat (mass) by time-fractional semi-derivatives and semi-integrals: Fixed boundary conditions
AU - Hristov Jordan Y
JN - Thermal Science
PY - 2016
VL - 20
IS - 6
SP - 1867
EP - 1878
PT - Article
AB - A new approach to integral-balance solutions of the diffusion equation of  heat (mass) with constant transport properties by applying time-fractional  semi-derivatives and semi-integrals of Riemann-Liouville sense has been  developed. The time-fractional semiderivatives and semiintegrals replace the  surface gradient (temperature) which in the classical Heat-balance integral  method (HBIM) of Goodman and the Double-integration method (DIM) should be  expressed through the assumed profile. The application of semiderivatives and  semiintegrals reduces the approximation errors to levels less than the ones  exhibited by the classical HBIM and DIM. The method is exemplified by  solutions of Dirichlet and Neumann boundary condition problems.