Multiple Positive Solutions for Nonlinear Semipositone Fractional Differential Equations
We present some new multiplicity of positive solutions results for nonlinear semipositone fractional boundary value problem D0+αu(t)=p(t)f(t,u(t))-q(t),0<t<1,u(0)=u(1)=u'(1)=0, where 2<α≤3 is a real number and D0+α is the standard Riemann-Liouville differentiation. One example is also...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2012/850871 |
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| _version_ | 1832562648651137024 |
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| author | Wen-Xue Zhou Ji-Gen Peng Yan-Dong Chu |
| author_facet | Wen-Xue Zhou Ji-Gen Peng Yan-Dong Chu |
| author_sort | Wen-Xue Zhou |
| collection | DOAJ |
| description | We present some new multiplicity of positive solutions results for nonlinear semipositone fractional boundary value problem D0+αu(t)=p(t)f(t,u(t))-q(t),0<t<1,u(0)=u(1)=u'(1)=0, where 2<α≤3 is a real number and D0+α is the standard Riemann-Liouville differentiation. One example is also given to illustrate the main result. |
| format | Article |
| id | doaj-art-0247b11d992e4afbad063c891806257d |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-0247b11d992e4afbad063c891806257d2025-02-03T01:22:04ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2012-01-01201210.1155/2012/850871850871Multiple Positive Solutions for Nonlinear Semipositone Fractional Differential EquationsWen-Xue Zhou0Ji-Gen Peng1Yan-Dong Chu2Department of Mathematics, Xi'an Jiaotong University, Shaanxi, Xi'an 710049, ChinaDepartment of Mathematics, Xi'an Jiaotong University, Shaanxi, Xi'an 710049, ChinaDepartment of Mathematics, Lanzhou Jiaotong University, Lanzhou, Gansu 730070, ChinaWe present some new multiplicity of positive solutions results for nonlinear semipositone fractional boundary value problem D0+αu(t)=p(t)f(t,u(t))-q(t),0<t<1,u(0)=u(1)=u'(1)=0, where 2<α≤3 is a real number and D0+α is the standard Riemann-Liouville differentiation. One example is also given to illustrate the main result.http://dx.doi.org/10.1155/2012/850871 |
| spellingShingle | Wen-Xue Zhou Ji-Gen Peng Yan-Dong Chu Multiple Positive Solutions for Nonlinear Semipositone Fractional Differential Equations Discrete Dynamics in Nature and Society |
| title | Multiple Positive Solutions for Nonlinear Semipositone Fractional Differential Equations |
| title_full | Multiple Positive Solutions for Nonlinear Semipositone Fractional Differential Equations |
| title_fullStr | Multiple Positive Solutions for Nonlinear Semipositone Fractional Differential Equations |
| title_full_unstemmed | Multiple Positive Solutions for Nonlinear Semipositone Fractional Differential Equations |
| title_short | Multiple Positive Solutions for Nonlinear Semipositone Fractional Differential Equations |
| title_sort | multiple positive solutions for nonlinear semipositone fractional differential equations |
| url | http://dx.doi.org/10.1155/2012/850871 |
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