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...
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| Format: | Journal Article |
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Pergamon
2012
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| Online Access: | http://hdl.handle.net/20.500.11937/5465 |
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curtin-20.500.11937-5465 |
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eprints |
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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 |
| repository_type |
Digital Repository |
| institution_category |
Local University |
| institution |
Curtin University Malaysia |
| 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. |
| format |
Journal Article |
| author |
Zhang, X. Liu, L. Wu, Yong Hong |
| spellingShingle |
Zhang, X. Liu, L. Wu, Yong Hong Multiple positive solutions of a singular fractional differential equation with negatively perturbed term |
| author_facet |
Zhang, X. Liu, L. Wu, Yong Hong |
| author_sort |
Zhang, X. |
| title |
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_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_sort |
multiple positive solutions of a singular fractional differential equation with negatively perturbed term |
| publisher |
Pergamon |
| publishDate |
2012 |
| url |
http://hdl.handle.net/20.500.11937/5465 |
| first_indexed |
2018-09-06T18:00:21Z |
| last_indexed |
2018-09-06T18:00:21Z |
| _version_ |
1610882032895787008 |