Title
Multiple positive solutions of a singular fractional differential equation with negatively perturbed term.
Abstract
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
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 Zhang116323.65
Lishan Liu218835.41
Yonghong Wu321234.70