Analytical Solution of the Fractional Linear Time-Delay Systems and their Ulam-Hyers Stability
We introduce the delayed Mittag-Leffler type matrix functions, delayed fractional cosine, and delayed fractional sine and use the Laplace transform to obtain an analytical solution to the IVP for a Hilfer type fractional linear time-delay system D0,tμ,νzt+Azt+Ωzt−h=ft of order 1<μ<2 and type 0...
Saved in:
| Main Author: | Nazim I. Mahmudov |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
|
| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/2661343 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
-
Ulam–Hyers and Generalized Ulam–Hyers Stability of Fractional Differential Equations with Deviating Arguments
by: Natalia Dilna, et al.
Published: (2024-10-01) -
Ulam-Hyers Stability and Ulam-Hyers-Rassias Stability for Fuzzy Integrodifferential Equation
by: Nguyen Ngoc Phung, et al.
Published: (2019-01-01) -
Hyers-Ulam Stability and Existence of Solutions for Nigmatullin’s Fractional Diffusion Equation
by: Zhuoyan Gao, et al.
Published: (2017-01-01) -
Hyers-Ulam-Rassias Stability for Linear and Semi-Linear Systems of Differential Equations
by: Maher Qarawani
Published: (2018-01-01) -
Analysis of Caputo-Type Non-Linear Fractional Differential Equations and Their Ulam–Hyers Stability
by: Ekber Girgin, et al.
Published: (2024-09-01)