Existence of multiple positive solutions for m-point fractional boundary value problems on an infinite interval

In this paper we consider the following m-point fractional boundary value problem on infinite interval D"0"+^@au(t)+a(t)f(t,u(t))=0,0=0, i=1,2,...,m-2 satisfies 0<@?"i"="1^m^-^2@b"i@x"i^@a^-^1<@C(@a). Using a fixed point theorem for operators on a cone, we provide sufficient conditions for the existence of multiple positive solutions to the above boundary value problem. As applications, examples are presented to illustrate the main results.

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