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Existence and Uniqueness of Solutions for Several BVPs of Fractional Differential Equations with p-Laplacian Operator

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Abstract

This paper deals with existence and uniqueness of solutions for several boundary value problems of fractional differential equations with p-Laplacian operator using fixed-point theorems in cone and coincidence degree theory. The main results enrich and extend some existing literatures. Some examples are given to illustrate our main results.

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Authors and Affiliations

  1. Department of Mathematics, China University of Mining and Technology, Xuzhou, 221116, PR China

    Tengfei Shen, Wenbin Liu & Xiaohui Shen

Authors
  1. Tengfei Shen
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  2. Wenbin Liu
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  3. Xiaohui Shen
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Corresponding author

Correspondence to Wenbin Liu.

Additional information

This research is supported by the National Natural Science Foundation of China (No.11271364).

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Shen, T., Liu, W. & Shen, X. Existence and Uniqueness of Solutions for Several BVPs of Fractional Differential Equations with p-Laplacian Operator. Mediterr. J. Math. 13, 4623–4637 (2016). https://doi.org/10.1007/s00009-016-0766-9

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  • DOI: https://doi.org/10.1007/s00009-016-0766-9

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