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Successive iteration and positive solutions for boundary value problem of nonlinear fractional q-difference equation

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Abstract

In this paper, we investigate the positive solutions for a class of nonlinear q-fractional boundary value problem. We not only obtain the existence and uniqueness of positive solutions, but also establish the iterative schemes for approximating the solutions, which is benefit for computation and application.

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Authors and Affiliations

  1. Department of Mathematics and Computing Sciences, Hengyang Normal University, Hengyang, 421008, Hunan, People’s Republic of China

    Liu Yang, Liping Luo & Zhenguo Luo

  2. Department of Mathematics, Central South University, Changsha, 410075, Hunan, People’s Republic of China

    Haibo Chen

Authors
  1. Liu Yang
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  2. Haibo Chen
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  3. Liping Luo
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  4. Zhenguo Luo
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Corresponding author

Correspondence to Liu Yang.

Additional information

The first author was supported by the Natural Science Foundation of Hunan Province (2012), Hunan Provincial Department of Science and Technology project (2012sk3117) and Hengyang Normal University Doctoral Science Foundation (11B35). The second author was supported by NFSC (10871206).

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Yang, L., Chen, H., Luo, L. et al. Successive iteration and positive solutions for boundary value problem of nonlinear fractional q-difference equation. J. Appl. Math. Comput. 42, 89–102 (2013). https://doi.org/10.1007/s12190-012-0622-4

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  • DOI: https://doi.org/10.1007/s12190-012-0622-4

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