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Positive solutions for a coupled system of semipositone fractional differential equations with the integral boundary conditions

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Abstract

In this paper, we investigate the existence of positive solutions for a system of nonlinear fractional differential equations with sign-changing nonlinearities. The result obtained in this paper essentially improves and extends some well-known results. An example demonstrates the main results.

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References

  1. B. Ahmad, S. Ntouyas, A. Alsaedi, J. Appl. Math. Comput. 53, 129 (2017)

    Article  MathSciNet  Google Scholar 

  2. D.Y. Bai, Y.T. Xu, J. Math. Anal. Appl. 334, 1152 (2007)

    Article  MathSciNet  Google Scholar 

  3. Y. Cui, Appl. Math. Lett. 51, 48 (2016)

    Article  MathSciNet  Google Scholar 

  4. J. Henderson, R. Luca, Fract. Calc. Appl. Anal. 16, 985 (2013)

    Article  MathSciNet  Google Scholar 

  5. J. Henderson, R. Luca, Bound. Value Probl. 60, 1 (2014)

    Google Scholar 

  6. J. Henderson, R. Luca, A. Tudorache, Nonlinear Stud. 22, 139 (2015)

    MathSciNet  Google Scholar 

  7. J. Henderson, R. Luca, Appl. Math. Comput. 249, 182 (2014)

    MathSciNet  Google Scholar 

  8. J. Henderson, R. Luca, Bound. Value Prob. 138, 12 (2015)

    Google Scholar 

  9. J. Henderson, R. Luca, Boundary value problems for systems of differential, difference and fractional equations, in Positive solutions (Elsevier, Amsterdam, 2016)

  10. J. Henderson, R. Luca, A. Tudorache, Fract. Calc. Appl. Anal. 18, 361 (2015)

    Article  MathSciNet  Google Scholar 

  11. Z. Han, H. Lu, C. Zhang, Appl. Math. Comput. 257, 526 (2015)

    ADS  MathSciNet  Google Scholar 

  12. Y. Liu, D.P. Xie, D.D. Yang C.Z. Bai, J. Inequal. Appl. 2017, 98 (2017)

    Article  Google Scholar 

  13. Y. Liu, D.P. Xie, C.Z. Bai, D.D. Yang, Adv. Differ. Equ. 2017, 168 (2017)

    Article  Google Scholar 

  14. Q.P. Li, C.X. Hou, L.Y. Sun, Z.L. Han, J. Appl. Math. Comput. 53, 383 (2017)

    Article  MathSciNet  Google Scholar 

  15. R. Luca, A. Tudorache, Adv. Differ. Equ. 179, 11 (2014)

    Google Scholar 

  16. Y. Qiao, Z.F. Zhou, Adv. Differ. Equ. 2017, 8 (2017)

    Article  MathSciNet  Google Scholar 

  17. Y.Q. Wang, L.S. Liu, Adv. Differ. Equ. 2017, 7 (2017)

    Article  Google Scholar 

  18. C. Yuan, D. Jiang, D. O’Regan, R.P. Agarwal, Electron. J. Qual. Theory Differ. Equ. 13,1 (2012)

    Article  Google Scholar 

  19. X. Zhang, Appl. Math. Lett. 39, 22 (2015)

    Article  MathSciNet  Google Scholar 

  20. X. Zhang, L. Liu, Y. Wu, Comput. Math. Appl. 68, 1794 (2014)

    Article  MathSciNet  Google Scholar 

Download references

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Authors and Affiliations

  1. School of Mathematics and Statistics, Hefei Normal University, Hefei, Anhui, 230601, P.R. China

    Dapeng Xie, Hui Zhou & Yang Liu

  2. School of Mathematical Science, Huaiyin Normal University, Huaian, Jiangsu, 223300, P.R. China

    Chuanzhi Bai

Authors
  1. Dapeng Xie
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  2. Chuanzhi Bai
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  3. Hui Zhou
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  4. Yang Liu
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Corresponding author

Correspondence to Yang Liu.

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Xie, D., Bai, C., Zhou, H. et al. Positive solutions for a coupled system of semipositone fractional differential equations with the integral boundary conditions. Eur. Phys. J. Spec. Top. 226, 3551–3566 (2017). https://doi.org/10.1140/epjst/e2018-00041-3

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  • DOI: https://doi.org/10.1140/epjst/e2018-00041-3

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