The Existence of Positive Solutions for Boundary Value Problem of Nonlinear Fractional Differential Equations
We consider the existence of positive solutions for the nonlinear fractional differential equations boundary value problem -D0+αu(t)=f(t,u(t)), 0<t<1, u(0)=u'(0)=u'(1)=0, where 2<α≤3 is a real number, D0+α is the Riemann-Liouville fractional derivative of order α, and f is a gi...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/681513 |
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| _version_ | 1832566674974310400 |
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| author | Yanli Chen Yongxiang Li |
| author_facet | Yanli Chen Yongxiang Li |
| author_sort | Yanli Chen |
| collection | DOAJ |
| description | We consider the existence of positive solutions for the nonlinear fractional differential equations boundary value problem -D0+αu(t)=f(t,u(t)), 0<t<1, u(0)=u'(0)=u'(1)=0, where 2<α≤3 is a real number, D0+α is the Riemann-Liouville fractional derivative of order α, and f is a given continuous function. Our analysis relies on the fixed point index theory in cones. |
| format | Article |
| id | doaj-art-5122235762e44bbd98bd6960e3d401fb |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-5122235762e44bbd98bd6960e3d401fb2025-02-03T01:03:33ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/681513681513The Existence of Positive Solutions for Boundary Value Problem of Nonlinear Fractional Differential EquationsYanli Chen0Yongxiang Li1Department of Mathematics, Northwest Normal University, Lanzhou 730070, ChinaDepartment of Mathematics, Northwest Normal University, Lanzhou 730070, ChinaWe consider the existence of positive solutions for the nonlinear fractional differential equations boundary value problem -D0+αu(t)=f(t,u(t)), 0<t<1, u(0)=u'(0)=u'(1)=0, where 2<α≤3 is a real number, D0+α is the Riemann-Liouville fractional derivative of order α, and f is a given continuous function. Our analysis relies on the fixed point index theory in cones.http://dx.doi.org/10.1155/2014/681513 |
| spellingShingle | Yanli Chen Yongxiang Li The Existence of Positive Solutions for Boundary Value Problem of Nonlinear Fractional Differential Equations Abstract and Applied Analysis |
| title | The Existence of Positive Solutions for Boundary Value Problem of Nonlinear Fractional Differential Equations |
| title_full | The Existence of Positive Solutions for Boundary Value Problem of Nonlinear Fractional Differential Equations |
| title_fullStr | The Existence of Positive Solutions for Boundary Value Problem of Nonlinear Fractional Differential Equations |
| title_full_unstemmed | The Existence of Positive Solutions for Boundary Value Problem of Nonlinear Fractional Differential Equations |
| title_short | The Existence of Positive Solutions for Boundary Value Problem of Nonlinear Fractional Differential Equations |
| title_sort | existence of positive solutions for boundary value problem of nonlinear fractional differential equations |
| url | http://dx.doi.org/10.1155/2014/681513 |
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