Volume 8, Number 4, 2018, Pages 1227-1238 DOI:10.11948/2018.1227 |
Three positive solutions for boundary value problem for differential equation with Riemann-Liouville fractional derivative |
Chunfang Sheng,Hui Zhou,Liu Yang |
Keywords:Fractional differential equation, fixed point, positive solution, cone, Avery-Peterson fixed point theorem. |
Abstract: |
In this paper, by using the Avery-Peterson fixed point theorem, we establish the existence result of at least three positive solutions of boundary value problem of nonlinear differential equation with Riemann-Liouville''s fractional order derivative. An example illustrating our main result is given. Our results complements and extends previous work in the area of boundary value problems of nonlinear fractional differential equations. |
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