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| SOLUTION FOR TWO-POINT BOUNDARY VALUE PROBLEM OF THE SEMILINEAR FRACTIONAL DIFFERENTIAL EQUATION |
| Caixia Guo,Yugang Ren,Jianmin Guo,Shugui Kang,Yaqiong Cui,Huiqin Chen |
| (School of Math. and Computer Sciences, Shanxi Datong University, Datong 037009, Shanxi, PR China) |
| DOI： |
| Abstract: |
| In this paper, we establish the existence result of solution and positive solution for two-point boundary value problem of a semilinear fractional differential equation
by using the Leray-Schauder fixed-point theorem. The discussion is based on the system of integral equations on a bounded region. |
| Key words: boundary value problem; Green's function; Leray-Schauder fixed point theorem; system of integral equations |