Finite-Time Stability Analysis of Fractional Delay Systems

Ahmed M. Elshenhab, Xingtao Wang, Clemente Cesarano, Barakah Almarri and Osama Moaaz
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Ahmed M. Elshenhab: School of Mathematics, Harbin Institute of Technology, Harbin 150001, China
Xingtao Wang: School of Mathematics, Harbin Institute of Technology, Harbin 150001, China
Clemente Cesarano: Section of Mathematics, International Telematic University Uninettuno, CorsoVittorio Emanuele II, 39, 00186 Roma, Italy
Barakah Almarri: Department of Mathematical Sciences, College of Sciences, Princess Nourah Bint Abdulrahman University, Riyadh 11671, Saudi Arabia
Osama Moaaz: Department of Mathematics, College of Science, Qassim University, Buraydah 51452, Saudi Arabia

Mathematics, 2022, vol. 10, issue 11, 1-11

Abstract: Nonhomogeneous systems of fractional differential equations with pure delay are considered. As an application, the representation of solutions of these systems and their delayed Mittag-Leffler matrix functions are used to obtain the finite time stability results. Our results improve and extend the previous related results. Finally, to illustrate our theoretical results, we give an example.

Keywords: finite time stability; fractional delay systems; delayed Mittag-Leffler matrix function; fractional derivative (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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