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Publicado en línea: 21 ene 2022
Páginas: 57 - 61
Recibido: 17 mar 2021
Aceptado: 07 jul 2021
DOI: https://doi.org/10.2478/aupcsm-2021-0004
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© 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.