Annales Universitatis Paedagogicae Cracoviensis Studia Mathematica XX (2021)
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Date
2021
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Abstract
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