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.
Language: English
Page range: 57 - 61
Submitted on: Mar 17, 2021
Accepted on: Jul 7, 2021
Published on: Jan 21, 2022
Published by: Pedagogical University of Cracow
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year
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© 2022 Anna Gąsior, Andrzej Szczepański, published by Pedagogical University of Cracow
This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 License.