Farid NouiouaBilal Basti2021-07-262021-07-262021http://dspace.univ-msila.dz:8080//xmlui/handle/123456789/25166This paper investigates the problem of the existence and uniqueness of solutions under the generalized self-similar forms to the space-fractional diffusion equation. Therefore, through applying the properties of Schauder’s and Banach’s fixed point theorems; we establish several results on the global existence and blow-up of generalized self-similar solutions to this equationArticle