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Multiplicity Results to a Conformable Fractional Differential Equations Involving Integral Boundary Condition

Author

Listed:
  • Shuman Meng
  • Yujun Cui

Abstract

In this article, by using topological degree theory couple with the method of lower and upper solutions, we study the existence of at least three solutions to Riemann-Stieltjes integral initial value problem of the type , , where is the standard conformable fractional derivative of order , , and . Simultaneously, the fixed point theorem for set-valued increasing operator is applied when considering the given problem.

Suggested Citation

  • Shuman Meng & Yujun Cui, 2019. "Multiplicity Results to a Conformable Fractional Differential Equations Involving Integral Boundary Condition," Complexity, Hindawi, vol. 2019, pages 1-8, April.
    • Handle: RePEc:hin:complx:8402347
    DOI: 10.1155/2019/8402347
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    References listed on IDEAS

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    1. Ing-Jer Lin & Wei-Shih Du & Qiao-Feng Zheng, 2014. "Some New Fixed Point Theorems in Complex Valued -Metric Spaces," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-6, June.
    2. Wang, Ying & Liu, Lishan & Zhang, Xinguang & Wu, Yonghong, 2015. "Positive solutions of an abstract fractional semipositone differential system model for bioprocesses of HIV infection," Applied Mathematics and Computation, Elsevier, vol. 258(C), pages 312-324.
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    Cited by:

    1. Haiyan Zhang & Yaohong Li & Jiafa Xu, 2019. "Positive Solutions for a System of Fractional Integral Boundary Value Problems Involving Hadamard-Type Fractional Derivatives," Complexity, Hindawi, vol. 2019, pages 1-11, October.
    2. Lei Fu & Hongwei Yang, 2019. "An Application of (3+1)-Dimensional Time-Space Fractional ZK Model to Analyze the Complex Dust Acoustic Waves," Complexity, Hindawi, vol. 2019, pages 1-15, August.

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