Abstract
An analysis of the similarity solution of the linear, homogeneous, fragmentation equation is given for a general volume-conserving daughter-fragment distribution. For the special case of a polynomial daughter-distribution of degree p, an exact, basic similarity solution for the time evolution of the particle-volume distribution is derived. The solution is proportional to the Meijer G-function which may be represented as a linear combination of generalized hypergeometric functions. The properties of generalized hypergeometric functions and G-functions are given in the special function literature and include the continuation of the solution to large values of the similarity variable which is given here for special cases.
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