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An Innovative Approach to the Product of k‐Hybrid Functional Integral Equation

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  • A. M. A. El-Sayed
  • Sh. M. Al-Issa

Abstract

In this paper, our study focuses on exploring the solutions of a product of k‐hybrid functional integral equation which is characterized by multiple delays. We prove the existence of continuous, well‐defined, and bounded solutions on the semi‐infinite interval. Applying the technique of measures of noncompactness and Darbo fixed point theorem within the space BCR+ to demonstrate the existence of such solutions. Furthermore, we derive sufficient conditions to ensure the asymptotic stability of these solutions, supplemented by a practical example. MSC2020 Classification: 46E30, 45G10, 47H30, 47N20, and 47H10

Suggested Citation

  • A. M. A. El-Sayed & Sh. M. Al-Issa, 2025. "An Innovative Approach to the Product of k‐Hybrid Functional Integral Equation," Abstract and Applied Analysis, John Wiley & Sons, vol. 2025(1).
    • Handle: RePEc:wly:jnlaaa:v:2025:y:2025:i:1:n:5708317
    DOI: 10.1155/aaa/5708317
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    References listed on IDEAS

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    1. Ateq Alsaadi & Mieczysław Cichoń & Mohamed M. A. Metwali, 2022. "Integrable Solutions for Gripenberg-Type Equations with m -Product of Fractional Operators and Applications to Initial Value Problems," Mathematics, MDPI, vol. 10(7), pages 1-18, April.
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