Positive Solutions of Nonlinear Fractional Differential Equations with Integral Boundary Value Conditions
We investigate the existence and uniqueness of positive solutions of the following nonlinear fractional differential equation with integral boundary value conditions, , , where , and is the Caputo fractional derivative and is a continuous function. Our analysis relies on a fixed point theorem in...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/303545 |
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| _version_ | 1832546013751017472 |
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| author | J. Caballero I. Cabrera K. Sadarangani |
| author_facet | J. Caballero I. Cabrera K. Sadarangani |
| author_sort | J. Caballero |
| collection | DOAJ |
| description | We investigate the existence and uniqueness of positive solutions of the following nonlinear fractional differential equation with integral boundary value conditions, , , where , and is the Caputo fractional derivative and is a continuous function. Our analysis relies on a fixed point theorem in partially ordered sets. Moreover, we compare our results with others that appear in the literature. |
| format | Article |
| id | doaj-art-bd700ced71bc4d4bbedbc4a7cce049ad |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-bd700ced71bc4d4bbedbc4a7cce049ad2025-02-03T07:24:10ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/303545303545Positive Solutions of Nonlinear Fractional Differential Equations with Integral Boundary Value ConditionsJ. Caballero0I. Cabrera1K. Sadarangani2Departamento de Matemáticas, Universidad de Las Palmas de Gran Canaria, Campus de Tafira Baja, 35017 Las Palmas de Gran Canaria, SpainDepartamento de Matemáticas, Universidad de Las Palmas de Gran Canaria, Campus de Tafira Baja, 35017 Las Palmas de Gran Canaria, SpainDepartamento de Matemáticas, Universidad de Las Palmas de Gran Canaria, Campus de Tafira Baja, 35017 Las Palmas de Gran Canaria, SpainWe investigate the existence and uniqueness of positive solutions of the following nonlinear fractional differential equation with integral boundary value conditions, , , where , and is the Caputo fractional derivative and is a continuous function. Our analysis relies on a fixed point theorem in partially ordered sets. Moreover, we compare our results with others that appear in the literature.http://dx.doi.org/10.1155/2012/303545 |
| spellingShingle | J. Caballero I. Cabrera K. Sadarangani Positive Solutions of Nonlinear Fractional Differential Equations with Integral Boundary Value Conditions Abstract and Applied Analysis |
| title | Positive Solutions of Nonlinear Fractional Differential Equations with Integral Boundary Value Conditions |
| title_full | Positive Solutions of Nonlinear Fractional Differential Equations with Integral Boundary Value Conditions |
| title_fullStr | Positive Solutions of Nonlinear Fractional Differential Equations with Integral Boundary Value Conditions |
| title_full_unstemmed | Positive Solutions of Nonlinear Fractional Differential Equations with Integral Boundary Value Conditions |
| title_short | Positive Solutions of Nonlinear Fractional Differential Equations with Integral Boundary Value Conditions |
| title_sort | positive solutions of nonlinear fractional differential equations with integral boundary value conditions |
| url | http://dx.doi.org/10.1155/2012/303545 |
| work_keys_str_mv | AT jcaballero positivesolutionsofnonlinearfractionaldifferentialequationswithintegralboundaryvalueconditions AT icabrera positivesolutionsofnonlinearfractionaldifferentialequationswithintegralboundaryvalueconditions AT ksadarangani positivesolutionsofnonlinearfractionaldifferentialequationswithintegralboundaryvalueconditions |