EXTENSIVE EXPLORATION OF MULTI-TERM HYBRID FUNCTIONAL EQUATION VIA HYBRID DIFFERENTIAL FEEDBACK CONTROL

Ahmed M.a. El-sayed; Sh. M Al-ıssa; H. H. G. Hashem; I. H. Kaddoura; A. A. Najdi

EXTENSIVE EXPLORATION OF MULTI-TERM HYBRID FUNCTIONAL EQUATION VIA HYBRID DIFFERENTIAL FEEDBACK CONTROL

Abstract

This paper investigates the existence of solutions for a multidimensional hybrid functional equation with multiple delays, incorporating differential feedback control. The focus is on finding well-defined, continuous, and bounded solutions on the semi-infinite interval. To establish the existence of these solutions, we employ measures of noncompactness associated with a specified modulus of continuity within the space \( BC(\mathbb{R}_{+}) \). Furthermore, we derive sufficient conditions to ensure the asymptotic stability of the solutions to this integral equation. An illustrative example is provided to demonstrate the applicability of the theoretical results.

Keywords

References

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Details

Primary Language

English

Subjects

Numerical Solution of Differential and Integral Equations, Theoretical and Applied Mechanics in Mathematics

Journal Section

Research Article

Authors

Ahmed M.a. El-sayed
0000-0001-7092-7950
Egypt

Sh. M Al-ıssa ^*
0000-0002-1488-0817
Lebanon

H. H. G. Hashem This is me
0000-0002-9921-832X
Egypt

I. H. Kaddoura This is me
0000-0003-3627-6941
Lebanon

A. A. Najdi This is me
0009-0004-4225-5762
Lebanon

Publication Date

October 1, 2025

Submission Date

September 29, 2024

Acceptance Date

February 14, 2025

Published in Issue

Year 2025 Volume: 15 Number: 10

IZ

https://izlik.org/JA23WB94ZC

Cite

RIS / Bibtex

APA

El-sayed, A. M., Al-ıssa, S. M., Hashem, H. H. G., Kaddoura, I. H., & Najdi, A. A. (2025). EXTENSIVE EXPLORATION OF MULTI-TERM HYBRID FUNCTIONAL EQUATION VIA HYBRID DIFFERENTIAL FEEDBACK CONTROL. TWMS Journal of Applied and Engineering Mathematics, 15(10), 2421-2438. https://izlik.org/JA23WB94ZC

AMA

1.El-sayed AM, Al-ıssa SM, Hashem HHG, Kaddoura IH, Najdi AA. EXTENSIVE EXPLORATION OF MULTI-TERM HYBRID FUNCTIONAL EQUATION VIA HYBRID DIFFERENTIAL FEEDBACK CONTROL. JAEM. 2025;15(10):2421-2438. https://izlik.org/JA23WB94ZC

Chicago

El-sayed, Ahmed M.a., Sh. M Al-ıssa, H. H. G. Hashem, I. H. Kaddoura, and A. A. Najdi. 2025. “EXTENSIVE EXPLORATION OF MULTI-TERM HYBRID FUNCTIONAL EQUATION VIA HYBRID DIFFERENTIAL FEEDBACK CONTROL”. TWMS Journal of Applied and Engineering Mathematics 15 (10): 2421-38. https://izlik.org/JA23WB94ZC.

EndNote

El-sayed AM, Al-ıssa SM, Hashem HHG, Kaddoura IH, Najdi AA (October 1, 2025) EXTENSIVE EXPLORATION OF MULTI-TERM HYBRID FUNCTIONAL EQUATION VIA HYBRID DIFFERENTIAL FEEDBACK CONTROL. TWMS Journal of Applied and Engineering Mathematics 15 10 2421–2438.

IEEE

[1]A. M. El-sayed, S. M. Al-ıssa, H. H. G. Hashem, I. H. Kaddoura, and A. A. Najdi, “EXTENSIVE EXPLORATION OF MULTI-TERM HYBRID FUNCTIONAL EQUATION VIA HYBRID DIFFERENTIAL FEEDBACK CONTROL”, JAEM, vol. 15, no. 10, pp. 2421–2438, Oct. 2025, [Online]. Available: https://izlik.org/JA23WB94ZC

ISNAD

El-sayed, Ahmed M.a. - Al-ıssa, Sh. M - Hashem, H. H. G. - Kaddoura, I. H. - Najdi, A. A. “EXTENSIVE EXPLORATION OF MULTI-TERM HYBRID FUNCTIONAL EQUATION VIA HYBRID DIFFERENTIAL FEEDBACK CONTROL”. TWMS Journal of Applied and Engineering Mathematics 15/10 (October 1, 2025): 2421-2438. https://izlik.org/JA23WB94ZC.

JAMA

1.El-sayed AM, Al-ıssa SM, Hashem HHG, Kaddoura IH, Najdi AA. EXTENSIVE EXPLORATION OF MULTI-TERM HYBRID FUNCTIONAL EQUATION VIA HYBRID DIFFERENTIAL FEEDBACK CONTROL. JAEM. 2025;15:2421–2438.

MLA

El-sayed, Ahmed M.a., et al. “EXTENSIVE EXPLORATION OF MULTI-TERM HYBRID FUNCTIONAL EQUATION VIA HYBRID DIFFERENTIAL FEEDBACK CONTROL”. TWMS Journal of Applied and Engineering Mathematics, vol. 15, no. 10, Oct. 2025, pp. 2421-38, https://izlik.org/JA23WB94ZC.

Vancouver

1.Ahmed M.a. El-sayed, Sh. M Al-ıssa, H. H. G. Hashem, I. H. Kaddoura, A. A. Najdi. EXTENSIVE EXPLORATION OF MULTI-TERM HYBRID FUNCTIONAL EQUATION VIA HYBRID DIFFERENTIAL FEEDBACK CONTROL. JAEM [Internet]. 2025 Oct. 1;15(10):2421-38. Available from: https://izlik.org/JA23WB94ZC