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- W2074493567 abstract "We consider the following nonlinear fractional differential equation with infinite-point boundary value conditions{D0+αu(t)+q(t)f(t,u(t))=0,0<t<1,u(0)=u′(0)=⋯=u(n−2)(0)=0,u(i)(1)=∑j=1∞αju(ξj), where α>2,n−1<α≤n,i∈[1,n−2] is a fixed integer, αj≥0, 0<ξ1<ξ2<⋯<ξj−1<ξj<⋯<1(j=1,2,…),Δ−∑j=1∞αjξjα−1>0,Δ=(α−1)(α−2)⋯(α−i). The nonlinear term f permits singularities with respect to both the time and space variables. By introducing height functions of the nonlinear term on some bounded sets and considering integrations of these height functions, several local existence and multiplicity of positive solutions theorems are obtained." @default.
- W2074493567 created "2016-06-24" @default.
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- W2074493567 date "2015-01-01" @default.
- W2074493567 modified "2023-10-10" @default.
- W2074493567 title "Positive solutions for a class of singular fractional differential equation with infinite-point boundary value conditions" @default.
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- W2074493567 doi "https://doi.org/10.1016/j.aml.2014.08.008" @default.
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