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Exact Solutions and Finite Time Stability of Linear Conformable Fractional Systems with Pure Delay

by Ahmed M. Elshenhab1,2,*, Xingtao Wang1, Fatemah Mofarreh3, Omar Bazighifan4,*

1 School of Mathematics, Harbin Institute of Technology, Harbin, 150001, China
2 Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, 35516, Egypt
3 Mathematical Science Department, Faculty of Science, Princess Nourah Bint Abdulrahman University, Riyadh, 11546, Saudi Arabia
4 Section of Mathematics, International Telematic University Uninettuno, Roma, 00186, Italy

* Corresponding Authors: Ahmed M. Elshenhab. Email: email; Omar Bazighifan. Email: email

(This article belongs to the Special Issue: Advanced Numerical Methods for Fractional Differential Equations)

Computer Modeling in Engineering & Sciences 2023, 134(2), 927-940. https://doi.org/10.32604/cmes.2022.021512

Abstract

We study nonhomogeneous systems of linear conformable fractional differential equations with pure delay. By using new conformable delayed matrix functions and the method of variation, we obtain a representation of their solutions. As an application, we derive a finite time stability result using the representation of solutions and a norm estimation of the conformable delayed matrix functions. The obtained results are new, and they extend and improve some existing ones. Finally, an example is presented to illustrate the validity of our theoretical results.

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Cite This Article

APA Style
Elshenhab, A.M., Wang, X., Mofarreh, F., Bazighifan, O. (2023). Exact solutions and finite time stability of linear conformable fractional systems with pure delay. Computer Modeling in Engineering & Sciences, 134(2), 927-940. https://doi.org/10.32604/cmes.2022.021512
Vancouver Style
Elshenhab AM, Wang X, Mofarreh F, Bazighifan O. Exact solutions and finite time stability of linear conformable fractional systems with pure delay. Comput Model Eng Sci. 2023;134(2):927-940 https://doi.org/10.32604/cmes.2022.021512
IEEE Style
A. M. Elshenhab, X. Wang, F. Mofarreh, and O. Bazighifan, “Exact Solutions and Finite Time Stability of Linear Conformable Fractional Systems with Pure Delay,” Comput. Model. Eng. Sci., vol. 134, no. 2, pp. 927-940, 2023. https://doi.org/10.32604/cmes.2022.021512



cc Copyright © 2023 The Author(s). Published by Tech Science Press.
This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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