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Monotone Positive Solutions for Nonlinear Fractional Differential Equations with a Disturbance Parameter on the Infinite Interval

Author

Listed:
  • Yanping Zheng

    (School of Mathematics and Statistics, Taiyuan Normal University, Jinzhong 030619, China)

  • Hui Yang

    (School of Mathematics and Statistics, Taiyuan Normal University, Jinzhong 030619, China)

  • Wenxia Wang

    (School of Mathematics and Statistics, Taiyuan Normal University, Jinzhong 030619, China)

Abstract

This paper is concerned with the existence and multiplicity of monotone positive solutions for a class of nonlinear fractional differential equation with a disturbance parameter in the integral boundary conditions on the infinite interval. By using Guo–Krasnosel’skii fixed-point theorem and the analytic technique, we divide the range of parameter for the existence of at least two, one and no positive solutions for the problem. In the end, an example is given to illustrate our main results.

Suggested Citation

  • Yanping Zheng & Hui Yang & Wenxia Wang, 2024. "Monotone Positive Solutions for Nonlinear Fractional Differential Equations with a Disturbance Parameter on the Infinite Interval," Mathematics, MDPI, vol. 12(2), pages 1-15, January.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:2:p:325-:d:1322175
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    References listed on IDEAS

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    1. Alijani, Zahra & Baleanu, Dumitru & Shiri, Babak & Wu, Guo-Cheng, 2020. "Spline collocation methods for systems of fuzzy fractional differential equations," Chaos, Solitons & Fractals, Elsevier, vol. 131(C).
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