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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, Hindawi, vol. 2025, pages 1-12, August.
    • Handle: RePEc:hin:jnlaaa:5708317
    DOI: 10.1155/aaa/5708317
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