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Analyses of solutions of Riemann‐Liouville fractional oscillatory differential equations with pure delay.
- Source :
- Mathematical Methods in the Applied Sciences; Jun2023, Vol. 46 Issue 9, p10450-10464, 15p
- Publication Year :
- 2023
-
Abstract
- This paper first finishes off the exact solutions of Riemann‐Liouville fractional differential time‐delay oscillatory system of order ρ∈(1,2)$$ \rho \in \left(1,2\right) $$ by using two newly defined delayed perturbations of Mittag‐Leffler matrix functions and constant variation method. In the light of the exact solutions, we explore the finite time stability of the nonhomogeneous fractional oscillatory differential equations with pure delay. Ultimately, an example is cited to verify the rationality of the results. Through our method, the public problems left by Mahmudov in 2022 were partially solved. [ABSTRACT FROM AUTHOR]
- Subjects :
- FRACTIONAL differential equations
DELAY differential equations
MATRIX functions
Subjects
Details
- Language :
- English
- ISSN :
- 01704214
- Volume :
- 46
- Issue :
- 9
- Database :
- Complementary Index
- Journal :
- Mathematical Methods in the Applied Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 163704049
- Full Text :
- https://doi.org/10.1002/mma.9132