Kuratowski MNC method on a generalized fractional Caputo Sturm–Liouville–Langevin q-difference problem with generalized Ulam–Hyers stability

Autor:	Abdelatif Boutiara, Maamar Benbachir, Sina Etemad, Shahram Rezapour
Jazyk:	angličtina
Rok vydání:	2021
Předmět:	Fractional q-derivative Generalized Ulam–Hyers stability Langevin equation Measures of noncompactness Sturm–Liouville problem Mathematics QA1-939
Zdroj:	Advances in Difference Equations, Vol 2021, Iss 1, Pp 1-17 (2021)
Druh dokumentu:	article
ISSN:	1687-1847
DOI:	10.1186/s13662-021-03619-y
Popis:	Abstract In this work, we consider a generalized quantum fractional Sturm–Liouville–Langevin difference problem with terminal boundary conditions. The relevant results rely on Mönch’s fixed point theorem along with a theoretical method by terms of Kuratowski measure of noncompactness (MNC) and the Banach contraction principle (BCP). Furthermore, two dynamical notions of Ulam–Hyers (UH) and generalized Ulam–Hyers (GUH) stability are addressed for solutions of the supposed Sturm–Liouville–Langevin quantum boundary value problem (q-FBVP). Two examples are presented to show the validity and also the effectiveness of theoretical results. In the last part of the paper, we conclude our exposition with some final remarks and observations.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/7e0a055daec94c2b8d99d88e3ad1a8f8 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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