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Positive solutions of m-point boundary value problems for a class of nonlinear fractional differential equations

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Abstract

This paper deals with the existence and multiplicity of positive solutions for a class of nonlinear fractional differential equations with m-point boundary value problems. We obtain some existence results of positive solution by using the properties of the Green’s function, u 0-bounded function and the fixed point index theory under some conditions concerning the first eigenvalue with respect to the relevant linear operator.

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Authors and Affiliations

  1. School of Mathematics, Liaocheng University, Liaocheng, 252059, Shandong, P.R. China

    Lin Wang & Xingqiu Zhang

Authors
  1. Lin Wang
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  2. Xingqiu Zhang
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Correspondence to Xingqiu Zhang.

Additional information

The project is supported financially by the National Natural Science Foundation of China (10971179), the Foundation for Outstanding Middle-Aged and Young Scientists of Shandong Province (BS2010SF004) and a Project of Shandong Province Higher Educational Science and Technology Program (No. J10LA53).

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Wang, L., Zhang, X. Positive solutions of m-point boundary value problems for a class of nonlinear fractional differential equations. J. Appl. Math. Comput. 42, 387–399 (2013). https://doi.org/10.1007/s12190-012-0626-0

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  • DOI: https://doi.org/10.1007/s12190-012-0626-0

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