Global existence and blow-up of generalized self-similar solutions for a space-fractional diffusion equation with mixed conditions

Nouioua, Farid ; Basti, Bilal

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica, Tome 20 (2021), pp. 43-56.

Résumé

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.

Détail

Keywords: fractional diffusion, generalized self-similar solution, blow-up, global existence, uniqueness

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