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| The aim ofthis paper is to study the fractional nonlocal resonant boundary valueproblems$$left{ligned & D^{lpha}_{0+}u(t)+f(t,u(t))=0 , 0<t<1,\&u(0)=0, u(1)=eta u(xi),endaligned
ight.$$where $1 < lpha < 2$, $0 < xi < 1$, $eta xi^{lpha-1}= 1$,$D^{lpha}_{0+}$ is the standard Riemann-Liouville derivative,$f:[0,1] imes [0,+infty)
ightarrow mathbb{R}$ is continuous.The existence and uniqueness of positive solutions are obtained bymeans of the fixed point index theory and iterative technique. |
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| Keywords:Fractional differential equation,Positive solution, Resonance, Fixed point index. |
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