We found a match
Your institution may have rights to this item. Sign in to continue.
- Title
Existence of Positive Solutions for Fractional Differential Equation with Nonlocal Boundary Condition.
- Authors
Hongliang Gao; Xiaoling Han
- Abstract
By using the fixed point theorem, existence of positive solutions for fractional differential equation with nonlocal boundary condition D0+au(t) + a(t)f(t, u(t) + 0, 0 < t < 1, u(0) = 0, u(1) Σi-1∞αiu(ξi) is considered, where 1 < α ≤ 2 is a real number, D0+a is the standard Riemann-Liouville differentiation, and ξi ∈ (0, 1), αi ∈ (0,∞) with Σi∞=1αiξia-1 < 1, a(t) ∈ C([0, 1],) (0,∞)), f(t, u) ∈ C([0, 1] × [0,∞), [0,∞)).
- Subjects
FIXED point theory; FRACTIONAL calculus; DIFFERENTIAL equations; BOUNDARY value problems; NONLINEAR statistical models; BANACH spaces
- Publication
International Journal of Differential Equations, 2011, p1
- ISSN
1687-9643
- Publication type
Article
- DOI
10.1155/2011/328394