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 |
| Summary: | 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. |
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