Title | ||
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Multiple positive solutions of a singular fractional differential equation with negatively perturbed term. |
Abstract | ||
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Let D0+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 term {−D0+αu(t)=p(t)f(t,u(t))−q(t),0<t<1,u(0)=u′(0)=u(1)=0, where 2<α≤3 is a real number, the perturbed term 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. |
Year | DOI | Venue |
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2012 | 10.1016/j.mcm.2011.10.006 | Mathematical and Computer Modelling |
Keywords | Field | DocType |
Fractional differential equation,Multiple positive solutions,Green function,Perturbed term | Integrable system,Differential equation,Mathematical optimization,Nonlinear system,Green's function,Mathematical analysis,Real number,Mathematics,Lebesgue integration | Journal |
Volume | Issue | ISSN |
55 | 3 | 0895-7177 |
Citations | PageRank | References |
15 | 1.20 | 1 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Xinguang Zhang | 1 | 163 | 23.65 |
Lishan Liu | 2 | 188 | 35.41 |
Yonghong Wu | 3 | 212 | 34.70 |