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An Integral Boundary Value Problem of Fractional Differential Equations with a Sign-Changed Parameter in Banach Spaces

Author

Listed:
  • Chen Yang
  • Yaru Guo
  • Chengbo Zhai
  • Atila Bueno

Abstract

This paper is to investigate the existence and uniqueness of solutions for an integral boundary value problem of new fractional differential equations with a sign-changed parameter in Banach spaces. The main used approach is a recent fixed point theorem of increasing Ψ−h,r-concave operators defined on ordered sets. In addition, we can present a monotone iterative scheme to approximate the unique solution. In the end, two simple examples are given to illustrate our main results.

Suggested Citation

  • Chen Yang & Yaru Guo & Chengbo Zhai & Atila Bueno, 2021. "An Integral Boundary Value Problem of Fractional Differential Equations with a Sign-Changed Parameter in Banach Spaces," Complexity, Hindawi, vol. 2021, pages 1-10, February.
  • Handle: RePEc:hin:complx:9567931
    DOI: 10.1155/2021/9567931
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