Djaballah, Soumia2021-07-152021-07-152021https://repository.univ-msila.dz/handle/123456789/25038The aim of this reserch its to determine similarity splution where will we analyze self-similar solution to a fractional heat conduction equation abd Generalized heat conduction equation, by using Lie-group scaling transformation both problems are reduced to ordinary nonlinear fractional differential equation the exact solution to the generalized heat conduction have been presented in two special.ennonlinear diffusion equation, fractional derivaives, heat conduction, similarity transformationThesis