TY - JOUR
A2 - Ma, To
AU - Yang, Chen
AU - Zhang, Jieming
PY - 2012
DA - 2012/11/27
TI - Uniqueness of Positive Solutions for a Perturbed Fractional Differential Equation
SP - 672543
VL - 2012
AB - We are concerned with the existence and uniqueness of positive solutions for the following nonlinear perturbed fractional two-point boundary value problem: D0+αu(t)+f(t,u,u',…,u(n-2))+g(t)=0, 0<t<1, n-1<α≤n, n≥2, u(0)=u'(0)=⋯=u(n-2)(0)=u(n-2)(1)=0, where D0+α is the standard Riemann-Liouville fractional derivative. Our analysis relies on a fixed-point theorem of generalized concave operators. An example is given to illustrate the main result.
SN - 2314-8896
UR - https://doi.org/10.1155/2012/672543
DO - 10.1155/2012/672543
JF - Journal of Function Spaces and Applications
PB - Hindawi Publishing Corporation
KW -
ER -