An Existence Study on the Fractional Coupled Nonlinear q-Difference Systems via Quantum Operators along with Ulam–Hyers and Ulam–Hyers–Rassias Stability
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 ope...
Saved in:
| Main Authors: | , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
|
| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/4483348 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849398523229896704 |
|---|---|
| author | Shahram Rezapour Chatthai Thaiprayoon Sina Etemad Weerawat Sudsutad Chernet Tuge Deressa Akbar Zada |
| author_facet | Shahram Rezapour Chatthai Thaiprayoon Sina Etemad Weerawat Sudsutad Chernet Tuge Deressa Akbar Zada |
| author_sort | Shahram Rezapour |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-a1d7ad4150b547a2aac3524f94e935d2 |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-a1d7ad4150b547a2aac3524f94e935d22025-08-20T03:38:35ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/4483348An Existence Study on the Fractional Coupled Nonlinear q-Difference Systems via Quantum Operators along with Ulam–Hyers and Ulam–Hyers–Rassias StabilityShahram Rezapour0Chatthai Thaiprayoon1Sina Etemad2Weerawat Sudsutad3Chernet Tuge Deressa4Akbar Zada5Institute of Research and DevelopmentDepartment of MathematicsDepartment of MathematicsTheoretical and Applied Data Integration Innovations GroupCollege of Natural SciencesDepartment of MathematicsIn 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.http://dx.doi.org/10.1155/2022/4483348 |
| spellingShingle | Shahram Rezapour Chatthai Thaiprayoon Sina Etemad Weerawat Sudsutad Chernet Tuge Deressa Akbar Zada An Existence Study on the Fractional Coupled Nonlinear q-Difference Systems via Quantum Operators along with Ulam–Hyers and Ulam–Hyers–Rassias Stability Journal of Function Spaces |
| title | An Existence Study on the Fractional Coupled Nonlinear q-Difference Systems via Quantum Operators along with Ulam–Hyers and Ulam–Hyers–Rassias Stability |
| title_full | An Existence Study on the Fractional Coupled Nonlinear q-Difference Systems via Quantum Operators along with Ulam–Hyers and Ulam–Hyers–Rassias Stability |
| title_fullStr | An Existence Study on the Fractional Coupled Nonlinear q-Difference Systems via Quantum Operators along with Ulam–Hyers and Ulam–Hyers–Rassias Stability |
| title_full_unstemmed | An Existence Study on the Fractional Coupled Nonlinear q-Difference Systems via Quantum Operators along with Ulam–Hyers and Ulam–Hyers–Rassias Stability |
| title_short | An Existence Study on the Fractional Coupled Nonlinear q-Difference Systems via Quantum Operators along with Ulam–Hyers and Ulam–Hyers–Rassias Stability |
| title_sort | existence study on the fractional coupled nonlinear q difference systems via quantum operators along with ulam hyers and ulam hyers rassias stability |
| url | http://dx.doi.org/10.1155/2022/4483348 |
| work_keys_str_mv | AT shahramrezapour anexistencestudyonthefractionalcouplednonlinearqdifferencesystemsviaquantumoperatorsalongwithulamhyersandulamhyersrassiasstability AT chatthaithaiprayoon anexistencestudyonthefractionalcouplednonlinearqdifferencesystemsviaquantumoperatorsalongwithulamhyersandulamhyersrassiasstability AT sinaetemad anexistencestudyonthefractionalcouplednonlinearqdifferencesystemsviaquantumoperatorsalongwithulamhyersandulamhyersrassiasstability AT weerawatsudsutad anexistencestudyonthefractionalcouplednonlinearqdifferencesystemsviaquantumoperatorsalongwithulamhyersandulamhyersrassiasstability AT chernettugederessa anexistencestudyonthefractionalcouplednonlinearqdifferencesystemsviaquantumoperatorsalongwithulamhyersandulamhyersrassiasstability AT akbarzada anexistencestudyonthefractionalcouplednonlinearqdifferencesystemsviaquantumoperatorsalongwithulamhyersandulamhyersrassiasstability AT shahramrezapour existencestudyonthefractionalcouplednonlinearqdifferencesystemsviaquantumoperatorsalongwithulamhyersandulamhyersrassiasstability AT chatthaithaiprayoon existencestudyonthefractionalcouplednonlinearqdifferencesystemsviaquantumoperatorsalongwithulamhyersandulamhyersrassiasstability AT sinaetemad existencestudyonthefractionalcouplednonlinearqdifferencesystemsviaquantumoperatorsalongwithulamhyersandulamhyersrassiasstability AT weerawatsudsutad existencestudyonthefractionalcouplednonlinearqdifferencesystemsviaquantumoperatorsalongwithulamhyersandulamhyersrassiasstability AT chernettugederessa existencestudyonthefractionalcouplednonlinearqdifferencesystemsviaquantumoperatorsalongwithulamhyersandulamhyersrassiasstability AT akbarzada existencestudyonthefractionalcouplednonlinearqdifferencesystemsviaquantumoperatorsalongwithulamhyersandulamhyersrassiasstability |