Explicit iteration and unbounded solutions for fractional q–difference equations with boundary conditions on an infinite interval

Autor:	Abdellatif Boutiara, Maamar Benbachir, Mohammed K. A. Kaabar, Francisco Martínez, Mohammad Esmael Samei, Melike Kaplan
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	Fractional q-difference equation Fractional q-derivative Unbounded solution Explicit iteration Infinite interval Mathematics QA1-939
Zdroj:	Journal of Inequalities and Applications, Vol 2022, Iss 1, Pp 1-27 (2022)
Druh dokumentu:	article
ISSN:	1029-242X
DOI:	10.1186/s13660-022-02764-6
Popis:	Abstract In this work, a proposed system of fractional boundary value problems is investigated concerning its unbounded solutions’ existence for a class of nonlinear fractional q-difference equations in the context of the Riemann–Liouville fractional q-derivative on an infinite interval. The system’s solution is formulated with the help of Green’s function. A compactness criterion is established in a special space. All the obtained results of uniqueness and existence are investigated with the help of fixed-point theorems. Some essential examples are illustrated to support our main outcomes.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/e6941987774a43789e98f3ed06e608d9 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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