Existence and Uniqueness of Positive Solution for a Boundary Value Problem of Fractional Order
Keyword(s):
We are concerned with the existence and uniqueness of positive solutions for the following nonlinear fractional boundary value problem:D0+αu(t)+f(t,u(t))=0,0≤t≤1,3<α≤4,u(0)=u′(0)=u″(0)=u″(1)=0, whereD0+αdenotes the standard Riemann-Liouville fractional derivative. Our analysis relies on a fixed point theorem in partially ordered sets. Some examples are also given to illustrate the results.
2012 ◽
Vol 2012
◽
pp. 1-8
◽
2017 ◽
Vol 2017
◽
pp. 1-13
◽