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Existence of Positive Solutions to Boundary Value Problem of Caputo Fractional Differential Equation

Author

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  • Yaqiong Cui
  • Shugui Kang
  • Zhiping Liu

Abstract

We consider the existence of positive solutions to the nonlinear fractional differential equation boundary value problem , where is continuous, , and is the standard Caputo differentiation. By using fixed point theorems on cone, we give some existence results concerning positive solutions. Here the solutions especially are the interior points of cone.

Suggested Citation

  • Yaqiong Cui & Shugui Kang & Zhiping Liu, 2015. "Existence of Positive Solutions to Boundary Value Problem of Caputo Fractional Differential Equation," Discrete Dynamics in Nature and Society, Hindawi, vol. 2015, pages 1-6, December.
    • Handle: RePEc:hin:jnddns:708053
    DOI: 10.1155/2015/708053
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    Cited by:

    1. Jarunee Soontharanon & Saowaluck Chasreechai & Thanin Sitthiwirattham, 2019. "A Coupled System of Fractional Difference Equations with Nonlocal Fractional Sum Boundary Conditions on the Discrete Half-Line," Mathematics, MDPI, vol. 7(3), pages 1-22, March.

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