Fractional Model for Cooling of a Semi-innite Body by Radiation

The fractional-order model for cooling of a semi-in nite body by radiation is considered.In the supposed semi-in nite body, the equation of heat along with an initial condition and an asymptotic boundary condition form an equivalent equation in which the order of derivatives is halved. This equation and a boundary condition introduced by the radiation heat transfer give rise to an initial value problem. The Muntz-Legendre approximation yield numerical solutions to the problem.

Keywords:

Heat equation , Semi-innite body , Radiation heat transfer , Fractional differential equation