The exact solution of fractional diffusion model with a location-independent source term used in the study of the concentration of fission product in spherical uranium dioxide  particle was built. The adsorption effect of the fission product on the surface of the UO2 particle and the delayed decay effect were also considered. The solution was given in terms of Mittag-Leffler function with finite Hankel integral transformation and Laplace transformation. At last, the reduced forms of the solution under some special physical conditions, which was used in nuclear engineering, were obtained and corresponding remarks were given to provide significant exact results to the concentration analysis of nuclear fission products in nuclear reactor.

Exact Solution of Fractional Diffusion Model with Source Term used in Study of Concentration of Fission Product in Uranium Dioxide Particle. F.Chao, J.Z.Cao, L.F.Sun: Communications in Theoretical Physics, 2011, 55[5], 863