On a generalized Lyapunov inequality for a mixed fractional boundary value problem
In this paper, we establish a new Lyapunov-type inequality for a differential equation involving left Riemann-Liouville and right Caputo fractional derivatives subject to Dirichlet-type boundary conditions.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2019-05-01
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| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/10.3934/math.2019.3.506/fulltext.html |
| _version_ | 1818154699577098240 |
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| author | Rabah Khaldi Assia Guezane-Lakoud |
| author_facet | Rabah Khaldi Assia Guezane-Lakoud |
| author_sort | Rabah Khaldi |
| collection | DOAJ |
| description | In this paper, we establish a new Lyapunov-type inequality for a differential equation involving left Riemann-Liouville and right Caputo fractional derivatives subject to Dirichlet-type boundary conditions. |
| first_indexed | 2024-12-11T14:30:40Z |
| format | Article |
| id | doaj.art-12dcab6313cf478fa2d032a3e04bae9e |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-12-11T14:30:40Z |
| publishDate | 2019-05-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-12dcab6313cf478fa2d032a3e04bae9e2022-12-22T01:02:27ZengAIMS PressAIMS Mathematics2473-69882019-05-014350651510.3934/math.2019.3.506On a generalized Lyapunov inequality for a mixed fractional boundary value problemRabah Khaldi0Assia Guezane-Lakoud1Laboratory of Advanced Materials, Department of Mathematics, Badji Mokhtar-Annaba University, P.O. Box 12, 23000 Annaba, AlgeriaLaboratory of Advanced Materials, Department of Mathematics, Badji Mokhtar-Annaba University, P.O. Box 12, 23000 Annaba, AlgeriaIn this paper, we establish a new Lyapunov-type inequality for a differential equation involving left Riemann-Liouville and right Caputo fractional derivatives subject to Dirichlet-type boundary conditions.https://www.aimspress.com/article/10.3934/math.2019.3.506/fulltext.htmlfractional derivativeLyapunov inequalityGreen's functioneigenvalue problem |
| spellingShingle | Rabah Khaldi Assia Guezane-Lakoud On a generalized Lyapunov inequality for a mixed fractional boundary value problem AIMS Mathematics fractional derivative Lyapunov inequality Green's function eigenvalue problem |
| title | On a generalized Lyapunov inequality for a mixed fractional boundary value problem |
| title_full | On a generalized Lyapunov inequality for a mixed fractional boundary value problem |
| title_fullStr | On a generalized Lyapunov inequality for a mixed fractional boundary value problem |
| title_full_unstemmed | On a generalized Lyapunov inequality for a mixed fractional boundary value problem |
| title_short | On a generalized Lyapunov inequality for a mixed fractional boundary value problem |
| title_sort | on a generalized lyapunov inequality for a mixed fractional boundary value problem |
| topic | fractional derivative Lyapunov inequality Green's function eigenvalue problem |
| url | https://www.aimspress.com/article/10.3934/math.2019.3.506/fulltext.html |
| work_keys_str_mv | AT rabahkhaldi onageneralizedlyapunovinequalityforamixedfractionalboundaryvalueproblem AT assiaguezanelakoud onageneralizedlyapunovinequalityforamixedfractionalboundaryvalueproblem |