Multiple positive solutions of a singular fractional differential equation with negatively perturbed term
Let View the MathML sourceD0+α be the standard Riemann–Liouville derivative. We discuss the existence of multiple positive solutions for the following fractional differential equation with a negatively perturbed termView the MathML source{−D0+αu(t)=p(t)f(t,u(t))−q(t),0<t<1,u(0)=u′(0)=u(1)=0,[T...
| Main Authors: | , , |
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| Format: | Journal Article |
| Published: |
Pergamon
2012
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| Online Access: | http://hdl.handle.net/20.500.11937/5465 |
| _version_ | 1848744804874190848 |
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| author | Zhang, X. Liu, L. Wu, Yong Hong |
| author_facet | Zhang, X. Liu, L. Wu, Yong Hong |
| author_sort | Zhang, X. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | Let View the MathML sourceD0+α be the standard Riemann–Liouville derivative. We discuss the existence of multiple positive solutions for the following fractional differential equation with a negatively perturbed termView the MathML source{−D0+αu(t)=p(t)f(t,u(t))−q(t),0<t<1,u(0)=u′(0)=u(1)=0,[Turn MathJax on]where 2<α≤32<α≤3 is a real number, the perturbed term q:(0,1)→[0,+∞)q:(0,1)→[0,+∞) is Lebesgue integrable and may be singular at some zero measures set of [0,1], which implies the nonlinear term may change sign. |
| first_indexed | 2025-11-14T06:07:17Z |
| format | Journal Article |
| id | curtin-20.500.11937-5465 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T06:07:17Z |
| publishDate | 2012 |
| publisher | Pergamon |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-54652017-09-13T14:40:30Z Multiple positive solutions of a singular fractional differential equation with negatively perturbed term Zhang, X. Liu, L. Wu, Yong Hong Let View the MathML sourceD0+α be the standard Riemann–Liouville derivative. We discuss the existence of multiple positive solutions for the following fractional differential equation with a negatively perturbed termView the MathML source{−D0+αu(t)=p(t)f(t,u(t))−q(t),0<t<1,u(0)=u′(0)=u(1)=0,[Turn MathJax on]where 2<α≤32<α≤3 is a real number, the perturbed term q:(0,1)→[0,+∞)q:(0,1)→[0,+∞) is Lebesgue integrable and may be singular at some zero measures set of [0,1], which implies the nonlinear term may change sign. 2012 Journal Article http://hdl.handle.net/20.500.11937/5465 10.1016/j.mcm.2011.10.006 Pergamon unknown |
| spellingShingle | Zhang, X. Liu, L. Wu, Yong Hong Multiple positive solutions of a singular fractional differential equation with negatively perturbed term |
| title | Multiple positive solutions of a singular fractional differential equation with negatively perturbed term |
| title_full | Multiple positive solutions of a singular fractional differential equation with negatively perturbed term |
| title_fullStr | Multiple positive solutions of a singular fractional differential equation with negatively perturbed term |
| title_full_unstemmed | Multiple positive solutions of a singular fractional differential equation with negatively perturbed term |
| title_short | Multiple positive solutions of a singular fractional differential equation with negatively perturbed term |
| title_sort | multiple positive solutions of a singular fractional differential equation with negatively perturbed term |
| url | http://hdl.handle.net/20.500.11937/5465 |