About this article
Published Online: Jan 21, 2022
Page range: 57 - 61
Received: Mar 17, 2021
Accepted: Jul 07, 2021
DOI: https://doi.org/10.2478/aupcsm-2021-0004
Keywords
© 2021 Anna Gąsior et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 International License.
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.