New Existence Results for Higher-Order Nonlinear Fractional Differential Equation with Integral Boundary Conditions
This paper investigates the existence and multiplicity of positive solutions for a class of higher-order nonlinear fractional differential equations with integral boundary conditions. The results are established by converting the problem into an equivalent integral equation and applying Krasnoselski...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2011-01-01
|
| Series: | Boundary Value Problems |
| Online Access: | http://dx.doi.org/10.1155/2011/720702 |
| _version_ | 1828405291547361280 |
|---|---|
| author | Meiqiang Feng Xuemei Zhang WeiGao Ge |
| author_facet | Meiqiang Feng Xuemei Zhang WeiGao Ge |
| author_sort | Meiqiang Feng |
| collection | DOAJ |
| description | This paper investigates the existence and multiplicity of positive solutions for a class of higher-order nonlinear fractional differential equations with integral boundary conditions. The results are established by converting the problem into an equivalent integral equation and applying Krasnoselskii's fixed-point theorem in cones. The nonexistence of positive solutions is also studied. |
| first_indexed | 2024-12-10T10:50:47Z |
| format | Article |
| id | doaj.art-43b3b98918434e75a7be809c37469ce6 |
| institution | Directory Open Access Journal |
| issn | 1687-2762 1687-2770 |
| language | English |
| last_indexed | 2024-12-10T10:50:47Z |
| publishDate | 2011-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Boundary Value Problems |
| spelling | doaj.art-43b3b98918434e75a7be809c37469ce62022-12-22T01:52:01ZengSpringerOpenBoundary Value Problems1687-27621687-27702011-01-01201110.1155/2011/720702New Existence Results for Higher-Order Nonlinear Fractional Differential Equation with Integral Boundary ConditionsMeiqiang FengXuemei ZhangWeiGao GeThis paper investigates the existence and multiplicity of positive solutions for a class of higher-order nonlinear fractional differential equations with integral boundary conditions. The results are established by converting the problem into an equivalent integral equation and applying Krasnoselskii's fixed-point theorem in cones. The nonexistence of positive solutions is also studied.http://dx.doi.org/10.1155/2011/720702 |
| spellingShingle | Meiqiang Feng Xuemei Zhang WeiGao Ge New Existence Results for Higher-Order Nonlinear Fractional Differential Equation with Integral Boundary Conditions Boundary Value Problems |
| title | New Existence Results for Higher-Order Nonlinear Fractional Differential Equation with Integral Boundary Conditions |
| title_full | New Existence Results for Higher-Order Nonlinear Fractional Differential Equation with Integral Boundary Conditions |
| title_fullStr | New Existence Results for Higher-Order Nonlinear Fractional Differential Equation with Integral Boundary Conditions |
| title_full_unstemmed | New Existence Results for Higher-Order Nonlinear Fractional Differential Equation with Integral Boundary Conditions |
| title_short | New Existence Results for Higher-Order Nonlinear Fractional Differential Equation with Integral Boundary Conditions |
| title_sort | new existence results for higher order nonlinear fractional differential equation with integral boundary conditions |
| url | http://dx.doi.org/10.1155/2011/720702 |
| work_keys_str_mv | AT meiqiangfeng newexistenceresultsforhigherordernonlinearfractionaldifferentialequationwithintegralboundaryconditions AT xuemeizhang newexistenceresultsforhigherordernonlinearfractionaldifferentialequationwithintegralboundaryconditions AT weigaoge newexistenceresultsforhigherordernonlinearfractionaldifferentialequationwithintegralboundaryconditions |