Global Stability for Fractional Diffusion Equations in Biological Systems
This paper proposes a new method of construction of Lyapunov functionals for the dynamical systems described by fractional differential equations and fractional partial differential equations. The proposed method is rigorously presented. Furthermore, the method is applied to establish the global sta...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2020/5476842 |
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| _version_ | 1832566643544293376 |
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| author | Khalid Hattaf Noura Yousfi |
| author_facet | Khalid Hattaf Noura Yousfi |
| author_sort | Khalid Hattaf |
| collection | DOAJ |
| description | This paper proposes a new method of construction of Lyapunov functionals for the dynamical systems described by fractional differential equations and fractional partial differential equations. The proposed method is rigorously presented. Furthermore, the method is applied to establish the global stability of some fractional biological models with and without diffusion. |
| format | Article |
| id | doaj-art-d5caf14d2e29448f8bb8c3553852add4 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-d5caf14d2e29448f8bb8c3553852add42025-02-03T01:03:40ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/54768425476842Global Stability for Fractional Diffusion Equations in Biological SystemsKhalid Hattaf0Noura Yousfi1Centre Régional des Métiers de L’Education et de La Formation (CRMEF), 20340 Derb Ghalef, Casablanca, MoroccoLaboratory of Analysis, Modeling and Simulation (LAMS), Faculty of Sciences Ben M’sik, Hassan II University of Casablanca, P.O. Box 7955 Sidi Othman, Casablanca, MoroccoThis paper proposes a new method of construction of Lyapunov functionals for the dynamical systems described by fractional differential equations and fractional partial differential equations. The proposed method is rigorously presented. Furthermore, the method is applied to establish the global stability of some fractional biological models with and without diffusion.http://dx.doi.org/10.1155/2020/5476842 |
| spellingShingle | Khalid Hattaf Noura Yousfi Global Stability for Fractional Diffusion Equations in Biological Systems Complexity |
| title | Global Stability for Fractional Diffusion Equations in Biological Systems |
| title_full | Global Stability for Fractional Diffusion Equations in Biological Systems |
| title_fullStr | Global Stability for Fractional Diffusion Equations in Biological Systems |
| title_full_unstemmed | Global Stability for Fractional Diffusion Equations in Biological Systems |
| title_short | Global Stability for Fractional Diffusion Equations in Biological Systems |
| title_sort | global stability for fractional diffusion equations in biological systems |
| url | http://dx.doi.org/10.1155/2020/5476842 |
| work_keys_str_mv | AT khalidhattaf globalstabilityforfractionaldiffusionequationsinbiologicalsystems AT nourayousfi globalstabilityforfractionaldiffusionequationsinbiologicalsystems |