In this paper we obtain self-similarity solutions for a one-phase one-dimensional fractional space one-phase Stefan problem in terms of the three parametric Mittag-Leffler function E α,m,l (z). We consider Dirichlet and Newmann conditions at the fixed face, involving Caputo fractional space derivatives of order 0 < α < 1. We recover the solution for the classical one-phase Stefan problem when the order of the Caputo derivatives approaches one.
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