Uniqueness and stability results of the abstract fractional spatial heterogeneous viral infection model
Abstract This paper proposes a general model of fractional spatial heterogeneouse viral infection. The resolvent operator’s method and a fixed point theorem are employed to establish the existence and uniqueness of mild solutions for abstract fractional spatial heterogeneous viral infection models....
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-06-01
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| Series: | Boundary Value Problems |
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| Online Access: | https://doi.org/10.1186/s13661-025-02077-9 |
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| author | Khellaf Ould Melha Medjahed Djilali Vaijanath L. Chinchane Asha B. Nale Sabri T. M. Thabet Imed Kedim |
| author_facet | Khellaf Ould Melha Medjahed Djilali Vaijanath L. Chinchane Asha B. Nale Sabri T. M. Thabet Imed Kedim |
| author_sort | Khellaf Ould Melha |
| collection | DOAJ |
| description | Abstract This paper proposes a general model of fractional spatial heterogeneouse viral infection. The resolvent operator’s method and a fixed point theorem are employed to establish the existence and uniqueness of mild solutions for abstract fractional spatial heterogeneous viral infection models. Additionally, the stability of Ulam–Hyers (UH) and Ulam–Hyers–Rassias ( U H R $UHR$ ) type for the solution of this model is studied. Examples of partial differential equations utilizing the Caputo–Fabrizio derivative are also presented. |
| format | Article |
| id | doaj-art-075eed3fe898406eb3c19561ee60b444 |
| institution | OA Journals |
| issn | 1687-2770 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Boundary Value Problems |
| spelling | doaj-art-075eed3fe898406eb3c19561ee60b4442025-08-20T02:30:42ZengSpringerOpenBoundary Value Problems1687-27702025-06-012025111710.1186/s13661-025-02077-9Uniqueness and stability results of the abstract fractional spatial heterogeneous viral infection modelKhellaf Ould Melha0Medjahed Djilali1Vaijanath L. Chinchane2Asha B. Nale3Sabri T. M. Thabet4Imed Kedim5Department of Mathematics, Faculty of Exact Sciences and Informatics, Hassiba Benbouali UniversityDepartment of Mathematics, University of RelizaneDepartment of Mathematics, Deogiri Institute of Engineering and Management StudiesDepartment of Mathematics and Statistics, School of Basic and Applied Sciences, MGM UniversityDepartment of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Saveetha UniversityDepartment of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam Bin Abdulaziz UniversityAbstract This paper proposes a general model of fractional spatial heterogeneouse viral infection. The resolvent operator’s method and a fixed point theorem are employed to establish the existence and uniqueness of mild solutions for abstract fractional spatial heterogeneous viral infection models. Additionally, the stability of Ulam–Hyers (UH) and Ulam–Hyers–Rassias ( U H R $UHR$ ) type for the solution of this model is studied. Examples of partial differential equations utilizing the Caputo–Fabrizio derivative are also presented.https://doi.org/10.1186/s13661-025-02077-9UH and UHR stabilityResolvent operatorsCaputo–Fabrizio fractional derivativeAbstract fractional differential equationSpatial heterogeneous viral infection model |
| spellingShingle | Khellaf Ould Melha Medjahed Djilali Vaijanath L. Chinchane Asha B. Nale Sabri T. M. Thabet Imed Kedim Uniqueness and stability results of the abstract fractional spatial heterogeneous viral infection model Boundary Value Problems UH and UHR stability Resolvent operators Caputo–Fabrizio fractional derivative Abstract fractional differential equation Spatial heterogeneous viral infection model |
| title | Uniqueness and stability results of the abstract fractional spatial heterogeneous viral infection model |
| title_full | Uniqueness and stability results of the abstract fractional spatial heterogeneous viral infection model |
| title_fullStr | Uniqueness and stability results of the abstract fractional spatial heterogeneous viral infection model |
| title_full_unstemmed | Uniqueness and stability results of the abstract fractional spatial heterogeneous viral infection model |
| title_short | Uniqueness and stability results of the abstract fractional spatial heterogeneous viral infection model |
| title_sort | uniqueness and stability results of the abstract fractional spatial heterogeneous viral infection model |
| topic | UH and UHR stability Resolvent operators Caputo–Fabrizio fractional derivative Abstract fractional differential equation Spatial heterogeneous viral infection model |
| url | https://doi.org/10.1186/s13661-025-02077-9 |
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