Examples of non connective C-algebras

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...

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Veröffentlicht in:Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica 2021-01, Vol.20 (1), p.57-61
Hauptverfasser: Gąsior, Anna, Szczepański, Andrzej
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Sprache:eng
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Zusammenfassung: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.
ISSN:2300-133X
2081-545X
2300-133X
DOI:10.2478/aupcsm-2021-0004