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Asymptotic Stability and Dependency of a Class of Hybrid Functional Integral Equations

Author

Listed:
  • Ahmed M. A. El-Sayed

    (Faculty of Science, Alexandria University, Alexandria 21521, Egypt
    These authors contributed equally to this work.)

  • Malak M. S. Ba-Ali

    (Faculty of Science, Princess Nourah Bint Abdul Rahman University, Riyadh 11671, Saudi Arabia
    These authors contributed equally to this work.)

  • Eman M. A. Hamdallah

    (Faculty of Science, Alexandria University, Alexandria 21521, Egypt
    These authors contributed equally to this work.)

Abstract

Here, we discuss the solvability of a class of hybrid functional integral equations by applying Darbo’s fixed point theorem and the technique of the measure of noncompactness (MNC). This study has been located in space BC ( R + ) . Furthermore, we prove the asymptotic stability of the solution of our problem on R + . We introduce the idea of asymptotic dependency of the solutions on some parameters for that class. Moreover, general discussion, examples, and remarks are demonstrated.

Suggested Citation

  • Ahmed M. A. El-Sayed & Malak M. S. Ba-Ali & Eman M. A. Hamdallah, 2023. "Asymptotic Stability and Dependency of a Class of Hybrid Functional Integral Equations," Mathematics, MDPI, vol. 11(18), pages 1-18, September.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:18:p:3953-:d:1241826
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    References listed on IDEAS

    as
    1. Ahmed M. A. El-Sayed & Hind H. G. Hashem & Shorouk M. Al-Issa, 2023. "Analytical Contribution to a Cubic Functional Integral Equation with Feedback Control on the Real Half Axis," Mathematics, MDPI, vol. 11(5), pages 1-18, February.
    2. Ahmed M. A. El-Sayed & Hind H. G. Hashem & Shorouk M. Al-Issa, 2021. "An Implicit Hybrid Delay Functional Integral Equation: Existence of Integrable Solutions and Continuous Dependence," Mathematics, MDPI, vol. 9(24), pages 1-14, December.
    Full references (including those not matched with items on IDEAS)

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