An Existence Study on the Fractional Coupled Nonlinear q-Difference Systems via Quantum Operators along with Ulam-Hyers and Ulam-Hyers-Rassias Stability

被引：0

作者：

Rezapour, Shahram ^{[1
,2
,3
]}

Thaiprayoon, Chatthai ^{[4
]}

Etemad, Sina ^{[5
]}

Sudsutad, Weerawat ^{[6
]}

Deressa, Chernet Tuge ^{[7
]}

Zada, Akbar ^{[8
]}

机构：

[1] Duy Tan Univ, Inst Res & Dev, Da Nang 550000, Vietnam

[2] Duy Tan Univ, Fac Nat Sci, Da Nang 550000, Vietnam

[3] China Med Univ Hosp, China Med Univ, Dept Med Res, Taichung, Taiwan

[4] Burapha Univ, Fac Sci, Dept Math, Chon Buri 20131, Thailand

[5] Azarbaijan Shahid Madani Univ, Dept Math, Tabriz, Iran

[6] Ramkhamhang Univ, Fac Sci, Dept Stat, Theoret & Appl Data Integrat Innovat Grp, Bangkok 10240, Thailand

[7] Jimma Univ, Coll Nat Sci, Dept Math, Jimma, Ethiopia

[8] Univ Peshawar, Dept Math, Peshawar 25000, Pakistan

来源：

JOURNAL OF FUNCTION SPACES | 2022年 / 2022卷

关键词：

BOUNDARY-VALUE-PROBLEMS; EQUATIONS;

D O I：

10.1155/2022/4483348

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the existence of solutions and their uniqueness and different kinds of Ulam-Hyers stability for a new class of nonlinear Caputo quantum boundary value problems. Also, we investigate such properties for the relevant generalized coupled q-system involving fractional quantum operators. By using the Banach contraction principle and Leray-Schauder's fixed-point theorem, we prove the existence and uniqueness of solutions for the suggested fractional quantum problems. The Ulam-Hyers stability of solutions in different forms are studied. Finally, some examples are provided for both q-problem and coupled q-system to show the validity of the main results.

引用

页数：17

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