| Volume 8, Number 4, 2018, Pages 1170-1185 DOI：10.11948/2018.1170 |
| Solvability for nonlinear singular fractional differential systems with multi-orders |
| Yige Zhao |
| Keywords:Positive solution, singular system, fractional Green""s function, fixed point theorem. |
| Abstract: |
| In this paper, we consider the existence of positive solutions for a class of nonlinear singular fractional differential systems with multi-orders. Our analysis relies on fixed point theorems on cones. Some sufficient conditions for the existence of at least one or two positive solutions for boundary value problem of nonlinear singular fractional differential systems with multi-orders are established. As an application, an example is presented to illustrate the main results. |
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