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A Study of Positive Solutions for Semilinear Fractional Measure Driven Functional Differential Equations in Banach Spaces

Author

Listed:
  • Jing Zhang

    (College of Science, Gansu Agricultural University, Lanzhou 730070, China)

  • Haide Gou

    (College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China)

Abstract

In this paper, we deal with the delayed measure differential equations with nonlocal conditions via measure of noncompactness in ordered Banach spaces. Combining ( β , γ k ) -resolvent family, regulated functions and fixed point theorem with respect to convex-power condensing operator and measure of noncompactness, we investigate the existence of positive mild solutions for the mentioned system under the situation that the nonlinear function satisfies measure conditions and order conditions. In addition, we provide an example to verify the rationality of our conclusion.

Suggested Citation

  • Jing Zhang & Haide Gou, 2024. "A Study of Positive Solutions for Semilinear Fractional Measure Driven Functional Differential Equations in Banach Spaces," Mathematics, MDPI, vol. 12(17), pages 1-19, August.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:17:p:2696-:d:1467164
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    References listed on IDEAS

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    1. Yueju Cao & Jitao Sun, 2018. "Approximate controllability of semilinear measure driven systems," Mathematische Nachrichten, Wiley Blackwell, vol. 291(13), pages 1979-1988, September.
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