Abstract | ||
---|---|---|
The work is concerned with the existence and uniqueness of positive solutions for the following fractional boundary value problem: {D0+νu(t)+h(t)f(t,u(t))=0,0<t<1,n−1<ν≤n,u(0)=u′(0)=⋯=u(n−2)(0)=0,[D0+αu(t)]t=1=0,1≤α≤n−2, where n∈N and n>3, and D0+ν is the standard Riemann–Liouville fractional derivative of order ν. Our main results are formulated in terms of spectral radii of some related linear integral operators, and the nonlinearity f is considered to grow only sublinearly. |
Year | DOI | Venue |
---|---|---|
2012 | 10.1016/j.aml.2011.09.065 | Applied Mathematics Letters |
Keywords | Field | DocType |
Fractional boundary value problem,Spectral radii,Positive solution,Fixed point index | Boundary value problem,Uniqueness,Mathematical optimization,Nonlinear system,Fixed-point index,Mathematical analysis,Radius,Fractional calculus,Operator (computer programming),Mathematics | Journal |
Volume | Issue | ISSN |
25 | 3 | 0893-9659 |
Citations | PageRank | References |
2 | 0.54 | 2 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Jiafa Xu | 1 | 6 | 3.72 |
Zhongli Wei | 2 | 56 | 15.19 |
Wei Dong | 3 | 10 | 2.40 |