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Existence of positive solutions for nonlocal boundary value problem of fractional differential equation

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Central European Journal of Physics

Abstract

In this paper, we study a type of nonlinear fractional differential equations multi-point boundary value problem with fractional derivative in the boundary conditions. By using the upper and lower solutions method and fixed point theorems, some results for the existence of positive solutions for the boundary value problem are established. Some examples are also given to illustrate our results.

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Authors and Affiliations

  1. College of Science, University of Shanghai for Science and Technology, Shanghai, 200093, China

    Xiping Liu, Legang Lin & Haiqin Fang

Authors
  1. Xiping Liu
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  2. Legang Lin
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  3. Haiqin Fang
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Correspondence to Xiping Liu.

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Liu, X., Lin, L. & Fang, H. Existence of positive solutions for nonlocal boundary value problem of fractional differential equation. centr.eur.j.phys. 11, 1423–1432 (2013). https://doi.org/10.2478/s11534-013-0238-9

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  • DOI: https://doi.org/10.2478/s11534-013-0238-9

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