Title
Uniqueness of positive solutions for a class of fractional boundary value problems.
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 Xu163.72
Zhongli Wei25615.19
Wei Dong3102.40