A Study on ψ-Caputo-Type Hybrid Multifractional Differential Equations with Hybrid Boundary Conditions
In this research paper, we investigate the existence, uniqueness, and Ulam–Hyers stability of hybrid sequential fractional differential equations with multiple fractional derivatives of ψ-Caputo with different orders. Using an advantageous generalization of Krasnoselskii’s fixed point theorem, we es...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/9595398 |
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| author | Fouad Fredj Hadda Hammouche Mohammed S. Abdo Wedad Albalawi Abdulrazak H. Almaliki |
| author_facet | Fouad Fredj Hadda Hammouche Mohammed S. Abdo Wedad Albalawi Abdulrazak H. Almaliki |
| author_sort | Fouad Fredj |
| collection | DOAJ |
| description | In this research paper, we investigate the existence, uniqueness, and Ulam–Hyers stability of hybrid sequential fractional differential equations with multiple fractional derivatives of ψ-Caputo with different orders. Using an advantageous generalization of Krasnoselskii’s fixed point theorem, we establish results of at least one solution, whereas the uniqueness of solution is derived via Banach’s fixed point theorem. Besides, the Ulam–Hyers stability for the proposed problem is investigated by applying the techniques of nonlinear functional analysis. In the end, we provide an example to illustrate the applicability of our results. |
| format | Article |
| id | doaj-art-807fd3eb92e94e499ac626de0df2a8ca |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-807fd3eb92e94e499ac626de0df2a8ca2025-02-03T01:08:58ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/9595398A Study on ψ-Caputo-Type Hybrid Multifractional Differential Equations with Hybrid Boundary ConditionsFouad Fredj0Hadda Hammouche1Mohammed S. Abdo2Wedad Albalawi3Abdulrazak H. Almaliki4Mathematics and Applied Sciences LaboratoryMathematics and Applied Sciences LaboratoryDepartment of MathematicsDepartment of Mathematical SciencesDepartment of Civil EngineeringIn this research paper, we investigate the existence, uniqueness, and Ulam–Hyers stability of hybrid sequential fractional differential equations with multiple fractional derivatives of ψ-Caputo with different orders. Using an advantageous generalization of Krasnoselskii’s fixed point theorem, we establish results of at least one solution, whereas the uniqueness of solution is derived via Banach’s fixed point theorem. Besides, the Ulam–Hyers stability for the proposed problem is investigated by applying the techniques of nonlinear functional analysis. In the end, we provide an example to illustrate the applicability of our results.http://dx.doi.org/10.1155/2022/9595398 |
| spellingShingle | Fouad Fredj Hadda Hammouche Mohammed S. Abdo Wedad Albalawi Abdulrazak H. Almaliki A Study on ψ-Caputo-Type Hybrid Multifractional Differential Equations with Hybrid Boundary Conditions Journal of Mathematics |
| title | A Study on ψ-Caputo-Type Hybrid Multifractional Differential Equations with Hybrid Boundary Conditions |
| title_full | A Study on ψ-Caputo-Type Hybrid Multifractional Differential Equations with Hybrid Boundary Conditions |
| title_fullStr | A Study on ψ-Caputo-Type Hybrid Multifractional Differential Equations with Hybrid Boundary Conditions |
| title_full_unstemmed | A Study on ψ-Caputo-Type Hybrid Multifractional Differential Equations with Hybrid Boundary Conditions |
| title_short | A Study on ψ-Caputo-Type Hybrid Multifractional Differential Equations with Hybrid Boundary Conditions |
| title_sort | study on ψ caputo type hybrid multifractional differential equations with hybrid boundary conditions |
| url | http://dx.doi.org/10.1155/2022/9595398 |
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