Initial Value Problem For Nonlinear Fractional Differential Equations With ψ-Caputo Derivative Via Monotone Iterative Technique

Autor:	Choukri Derbazi, Zidane Baitiche, Mouffak Benchohra, Alberto Cabada
Jazyk:	angličtina
Rok vydání:	2020
Předmět:	ψ-Caputo fractional derivative Cauchy problem extremal solutions monotone iterative technique upper and lower solutions Mathematics QA1-939
Zdroj:	Axioms, Vol 9, Iss 2, p 57 (2020)
Druh dokumentu:	article
ISSN:	2075-1680
DOI:	10.3390/axioms9020057
Popis:	In this article, we discuss the existence and uniqueness of extremal solutions for nonlinear initial value problems of fractional differential equations involving the ψ -Caputo derivative. Moreover, some uniqueness results are obtained. Our results rely on the standard tools of functional analysis. More precisely we apply the monotone iterative technique combined with the method of upper and lower solutions to establish sufficient conditions for existence as well as the uniqueness of extremal solutions to the initial value problem. An illustrative example is presented to point out the applicability of our main results.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/a3d0adb0db5e47f68526bfff1f77069d Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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