Monotone and Concave Positive Solutions to a Boundary Value Problem for Higher-Order Fractional Differential Equation
We consider boundary value problem for nonlinear fractional differential equation D0+αu(t)+f(t,u(t))=0, 0<t<1, n-1<α≤n, n>3, u(0)=u'(1)=u′′(0)=⋯=u(n-1)(0)=0, where D0+α denotes the Caputo fractional derivative. By using fixed point theorem, we obtain some new results for the exi...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/430457 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | We consider boundary value problem for nonlinear fractional differential equation D0+αu(t)+f(t,u(t))=0, 0<t<1, n-1<α≤n, n>3, u(0)=u'(1)=u′′(0)=⋯=u(n-1)(0)=0, where D0+α denotes the Caputo fractional derivative. By using fixed point theorem, we obtain some new results for the existence and multiplicity of solutions to a higher-order fractional boundary value problem. The interesting point lies in the fact that the solutions here are positive, monotone, and concave. |
|---|---|
| ISSN: | 1085-3375 1687-0409 |