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The work presents an integral solution of the time-fractional subdiffusionthrough a preliminary defined profile with unknown coefficients and the conceptof penetration layer well known from the heat diffusion The profile satisfiesthe boundary conditions imposed at the boundary of the boundary layer in a weakform that allows its coefficients to be expressed through the boundary layerdepth as unique parameter describing the profile. The technique is demonstratedby a solution of a time fractional subdiffusion equation in rectilinear 1-Dconditions

A Short-Distance Integral-Balance Solution to a Strong Subdiffusion Equation: A Weak Power-Law Profile