Positive Solutions for Boundary Value Problem of Nonlinear Fractional Differential Equation
We are concerned with the existence and nonexistence of positive solutions for the nonlinear fractional boundary value problem: D0+αu(t)+λa(t) f(u(t))=0, 0<t<1, u(0)=u′(0)=u′(1)=0, where 2<α<3 is a real number and D0+α is the standard Riemann-Liouville fractional derivative. Our anal...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2007-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2007/10368 |
| Summary: | We are concerned with the existence and nonexistence of positive solutions for the nonlinear fractional boundary value problem:
D0+αu(t)+λa(t) f(u(t))=0, 0<t<1,
u(0)=u′(0)=u′(1)=0,
where 2<α<3 is a real number and D0+α is the standard Riemann-Liouville fractional derivative. Our analysis relies on Krasnoselskiis fixed point theorem of cone preserving operators. An example is also given to illustrate the main results. |
|---|---|
| ISSN: | 1085-3375 1687-0409 |