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

被引：2
|
作者：
Boutiara, Abdelatif [1 ]
Benbachir, Maamar [2 ]
Etemad, Sina [3 ]
Rezapour, Shahram [3 ,4 ]
机构：
[1] Univ Ghardaia, Lab Math & Appl Sci, Metlili 47000, Algeria
[2] Saad Dahlab Univ, Fac Sci & Technol, Blida, Algeria
[3] Azarbaijan Shahid Madani Univ, Dept Math, Tabriz, Iran
[4] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2021年 / 2021卷 / 01期
关键词：
Fractional q-derivative; Generalized Ulam-Hyers stability; Langevin equation; Measures of noncompactness; Sturm-Liouville problem; FIXED-POINT THEOREMS; Q-INTEGRALS; EQUATIONS;
D O I：
10.1186/s13662-021-03619-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, we consider a generalized quantum fractional Sturm-Liouville-Langevin difference problem with terminal boundary conditions. The relevant results rely on Monch'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.
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页数：17
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