POSITIVE SOLUTIONS OF HIGHER-ORDER NONLINEAR FRACTIONAL DIFFERENTIAL SYSTEMS WITH NONLOCAL BOUNDARY CONDITIONS

Shengli Xie; Yiming Xie

doi:10.11948/2016081

2016 Volume 6 Issue 4

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Shengli Xie, Yiming Xie. POSITIVE SOLUTIONS OF HIGHER-ORDER NONLINEAR FRACTIONAL DIFFERENTIAL SYSTEMS WITH NONLOCAL BOUNDARY CONDITIONS[J]. Journal of Applied Analysis & Computation, 2016, 6(4): 1211-1227. doi: 10.11948/2016081

Citation:

Shengli Xie, Yiming Xie. POSITIVE SOLUTIONS OF HIGHER-ORDER NONLINEAR FRACTIONAL DIFFERENTIAL SYSTEMS WITH NONLOCAL BOUNDARY CONDITIONS[J]. Journal of Applied Analysis & Computation, 2016, 6(4): 1211-1227. doi: 10.11948/2016081

POSITIVE SOLUTIONS OF HIGHER-ORDER NONLINEAR FRACTIONAL DIFFERENTIAL SYSTEMS WITH NONLOCAL BOUNDARY CONDITIONS

Shengli Xie¹,
Yiming Xie²

1 School of Mathematics & Physics, Anhui Jianzhu University, 230601 Hefei, China;
2 School of Civil Engineering, Anhui Jianzhu University, 230601 Hefei, China

Fund Project:

Abstract

Abstract

The paper deals with the existence and multiplicity of positive solutions for a system of higher-order nonlinear fractional differential equations with nonlocal boundary conditions. The main tool used in the proof is fixed point index theory in cone. Some limit type conditions for ensuring the existence of positive solutions are given.
- Higher-order nonlinear fractional differential equations /
- positive solution /
- cone /
- fixed point index
MSC: 26A33;34B10;34B18

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References

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