Positive Solution to a Fractional Boundary Value Problem
A fractional boundary value problem is considered. By means of Banach contraction principle, Leray-Schauder nonlinear alternative, properties of the Green function, and Guo-Krasnosel'skii fixed point theorem on cone, some results on the existence, uniqueness, and positivity of solutions are obt...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2011/763456 |
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| _version_ | 1832550904902975488 |
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| author | A. Guezane-Lakoud R. Khaldi |
| author_facet | A. Guezane-Lakoud R. Khaldi |
| author_sort | A. Guezane-Lakoud |
| collection | DOAJ |
| description | A fractional boundary value problem is considered. By means of Banach contraction principle, Leray-Schauder nonlinear alternative, properties of the Green function, and Guo-Krasnosel'skii fixed point theorem on cone, some results on the existence, uniqueness, and positivity of solutions are obtained. |
| format | Article |
| id | doaj-art-59ad7c009a21493d9fbb2a935db189aa |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-59ad7c009a21493d9fbb2a935db189aa2025-02-03T06:05:23ZengWileyInternational Journal of Differential Equations1687-96431687-96512011-01-01201110.1155/2011/763456763456Positive Solution to a Fractional Boundary Value ProblemA. Guezane-Lakoud0R. Khaldi1Laboratory of Advanced Materials, Faculty of Sciences, Badji Mokhtar University, Annaba 23000, AlgeriaLaboratory LASEA, Faculty of Sciences, Badji Mokhtar University, Annaba 23000, AlgeriaA fractional boundary value problem is considered. By means of Banach contraction principle, Leray-Schauder nonlinear alternative, properties of the Green function, and Guo-Krasnosel'skii fixed point theorem on cone, some results on the existence, uniqueness, and positivity of solutions are obtained.http://dx.doi.org/10.1155/2011/763456 |
| spellingShingle | A. Guezane-Lakoud R. Khaldi Positive Solution to a Fractional Boundary Value Problem International Journal of Differential Equations |
| title | Positive Solution to a Fractional Boundary Value Problem |
| title_full | Positive Solution to a Fractional Boundary Value Problem |
| title_fullStr | Positive Solution to a Fractional Boundary Value Problem |
| title_full_unstemmed | Positive Solution to a Fractional Boundary Value Problem |
| title_short | Positive Solution to a Fractional Boundary Value Problem |
| title_sort | positive solution to a fractional boundary value problem |
| url | http://dx.doi.org/10.1155/2011/763456 |
| work_keys_str_mv | AT aguezanelakoud positivesolutiontoafractionalboundaryvalueproblem AT rkhaldi positivesolutiontoafractionalboundaryvalueproblem |