Abstract

In this paper we obtain a complete classification of all possible non-trivial similarity solutions of the integro–differential fragmentation equation with continuous mass loss rate. These solutions include the effects of both continuous and discrete mass loss rates. The similarity solutions are compared with the solutions found earlier. The comparison shows that some previous solutions are obtained as special cases from our solutions. The results reported here provide further evidence of the usefulness of the Lie group method for obtaining similarity solutions for either differential or integro–differential equations.

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