TY - JOUR AU - Nouioua, Farid AU - Basti, Bilal PY - 2021/05/29 Y2 - 2024/03/28 TI - Global existence and blow-up of generalized self-similar solutions for a space-fractional diffusion equation with mixed conditions JF - Annales Universitatis Paedagogicae Cracoviensis Studia Mathematica JA - Ann. Univ. Paedagog. Crac. Stud. Math. VL - 20 IS - SE - Published DO - UR - https://studmath.up.krakow.pl/article/view/8397 SP - 43-56 AB - <p>This 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 equation.</p> ER -