| _version_ | 1867015310931918848 |
|---|---|
| author | A. M. A. El-Sayed Sh. M. Al-Issa |
| author_facet | A. M. A. El-Sayed Sh. M. Al-Issa A. M. A. El-Sayed Sh. M. Al-Issa |
| collection | Wiley Open Access |
| contents | An Innovative Approach to the Product of k ‐Hybrid Functional Integral Equation A. M. A. El-Sayed Sh. M. Al-Issa Abstract and Applied Analysis 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 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 10.1155/aaa/5708317 http://creativecommons.org/licenses/by/4.0/ |
| doi_str_mv | 10.1155/aaa/5708317 |
| format | Artículo Open Access |
| id | wiley_oa_10_1155_aaa_5708317 |
| institution | Wiley Open Access |
| license_str_mv | http://creativecommons.org/licenses/by/4.0/ |
| publishDate | 2025 |
| publisher | Wiley |
| record_format | wiley_oa |
| spellingShingle | An Innovative Approach to the Product of k ‐Hybrid Functional Integral Equation A. M. A. El-Sayed Sh. M. Al-Issa Abstract and Applied Analysis An Innovative Approach to the Product of k ‐Hybrid Functional Integral Equation A. M. A. El-Sayed Sh. M. Al-Issa Abstract and Applied Analysis 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 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 10.1155/aaa/5708317 http://creativecommons.org/licenses/by/4.0/ |
| title | An Innovative Approach to the Product of k ‐Hybrid Functional Integral Equation |
| topic | Abstract and Applied Analysis |
| url | https://onlinelibrary.wiley.com/doi/10.1155/aaa/5708317 |