Existence results of self-similar solutions to the Caputo-type's space-fractional heat equation

Autor:	Bilal Basti, Noureddine Benhamidouche
Jazyk:	English<br />French
Rok vydání:	2020
Předmět:	space-fractional heat equation self-similar solutions existence uniqueness Mathematics QA1-939
Zdroj:	Surveys in Mathematics and its Applications, Vol 15 (2020), Pp 153-168 (2020)
Druh dokumentu:	article
ISSN:	1843-7265 1842-6298
Popis:	This paper investigates the problem of existence and uniqueness of solutions under the self-similar forms to the space-fractional heat equation. By applying the properties of Banach's fixed point theorems, Schauder's fixed point theorem and the nonlinear alternative of Leray-Schauder type, we establish several results on the existence and uniqueness of self-similar solutions to this equation.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/dedb387f85d84b9288226853eda54151 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF