Study of Nonlocal Multiorder Implicit Differential Equation Involving Hilfer Fractional Derivative on Unbounded Domains
This paper aims to study the existence and uniqueness of the solution for nonlocal multiorder implicit differential equation involving Hilfer fractional derivative on unbounded domains a,∞,a≥0, in an applicable Banach space by utilizing the Banach contraction principle. Furthermore, we discuss vario...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2023-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2023/8668325 |
| _version_ | 1827088870471106560 |
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| author | Sabri T. M. Thabet Imed Kedim |
| author_facet | Sabri T. M. Thabet Imed Kedim |
| author_sort | Sabri T. M. Thabet |
| collection | DOAJ |
| description | This paper aims to study the existence and uniqueness of the solution for nonlocal multiorder implicit differential equation involving Hilfer fractional derivative on unbounded domains a,∞,a≥0, in an applicable Banach space by utilizing the Banach contraction principle. Furthermore, we discuss various types of stability such as Ulam–Hyers–Rassias (UHR), Ulam–Hyers (UH), and semi-Ulam–Hyers–Rassias (sUHR) for nonlocal boundary value problem. Absolutely, our results cover that several outcomes have existed in the literature. |
| first_indexed | 2024-04-09T18:25:23Z |
| format | Article |
| id | doaj.art-52cc8410028347f29af4fba7d96d6cec |
| institution | Directory Open Access Journal |
| issn | 2314-4785 |
| language | English |
| last_indexed | 2025-03-20T05:15:29Z |
| publishDate | 2023-01-01 |
| publisher | Hindawi Limited |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj.art-52cc8410028347f29af4fba7d96d6cec2024-10-03T05:27:58ZengHindawi LimitedJournal of Mathematics2314-47852023-01-01202310.1155/2023/8668325Study of Nonlocal Multiorder Implicit Differential Equation Involving Hilfer Fractional Derivative on Unbounded DomainsSabri T. M. Thabet0Imed Kedim1Department of MathematicsDepartment of MathematicsThis paper aims to study the existence and uniqueness of the solution for nonlocal multiorder implicit differential equation involving Hilfer fractional derivative on unbounded domains a,∞,a≥0, in an applicable Banach space by utilizing the Banach contraction principle. Furthermore, we discuss various types of stability such as Ulam–Hyers–Rassias (UHR), Ulam–Hyers (UH), and semi-Ulam–Hyers–Rassias (sUHR) for nonlocal boundary value problem. Absolutely, our results cover that several outcomes have existed in the literature.http://dx.doi.org/10.1155/2023/8668325 |
| spellingShingle | Sabri T. M. Thabet Imed Kedim Study of Nonlocal Multiorder Implicit Differential Equation Involving Hilfer Fractional Derivative on Unbounded Domains Journal of Mathematics |
| title | Study of Nonlocal Multiorder Implicit Differential Equation Involving Hilfer Fractional Derivative on Unbounded Domains |
| title_full | Study of Nonlocal Multiorder Implicit Differential Equation Involving Hilfer Fractional Derivative on Unbounded Domains |
| title_fullStr | Study of Nonlocal Multiorder Implicit Differential Equation Involving Hilfer Fractional Derivative on Unbounded Domains |
| title_full_unstemmed | Study of Nonlocal Multiorder Implicit Differential Equation Involving Hilfer Fractional Derivative on Unbounded Domains |
| title_short | Study of Nonlocal Multiorder Implicit Differential Equation Involving Hilfer Fractional Derivative on Unbounded Domains |
| title_sort | study of nonlocal multiorder implicit differential equation involving hilfer fractional derivative on unbounded domains |
| url | http://dx.doi.org/10.1155/2023/8668325 |
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