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

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  • 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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    1. ,, 2002. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 18(1), pages 193-194, February.
    2. ,, 2002. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 18(2), pages 541-545, April.
    3. ,, 2002. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 18(4), pages 1007-1017, August.
    4. ,, 2002. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 18(6), pages 1461-1465, December.
    5. 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.
    6. ,, 2002. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 18(5), pages 1273-1289, October.
    7. ,, 2002. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 18(3), pages 819-821, June.
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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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