Abstract
This paper establishes the existence of at least three positive solutions for a coupled system ofp-Laplacian fractional order two-point boundary value problems,D0+β1(ϕp(D0+α1u(t)))=f1(t,u(t),v(t)),t∈(0,1),D0+β2(ϕp(D0+α2v(t)))=f2(t,u(t),v(t)),t∈(0,1),u(0)=D0+q1u(0)=0,γu(1)+δD0+q2u(1)=0,D0+α1u(0)=D0+α1u(1)=0,v(0)=D0+q1v(0)=0,γv(1)+δD0+q2v(1)=0,D0+α2v(0)=D0+α2v(1)=0, by applying five functionals fixed point theorem.
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