Existence and multiplicity of positive solutions for a new class of singular higher-order fractional differential equations with Riemann–Stieltjes integral boundary value conditions

Autor:	Lishan Liu, Dandan Min, Yonghong Wu
Jazyk:	angličtina
Rok vydání:	2020
Předmět:	Fractional differential equations Riemann–Stieltjes integral boundary value problem Positive solutions Singular problem Fixed point theorem Mathematics QA1-939
Zdroj:	Advances in Difference Equations, Vol 2020, Iss 1, Pp 1-23 (2020)
Druh dokumentu:	article
ISSN:	1687-1847
DOI:	10.1186/s13662-020-02892-7
Popis:	Abstract In this work, the aim is to discuss a new class of singular nonlinear higher-order fractional boundary value problems involving multiple Riemann–Liouville fractional derivatives. The boundary conditions are constituted by Riemann–Stieltjes integral boundary conditions. The existence and multiplicity of positive solutions are derived via employing the Guo–Krasnosel’skii fixed point theorem. In addition, the main results are demonstrated by some examples to show their validity.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/7c1168a1301f4bd093b4fd6723f464bb Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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