Back to Search
Start Over
Stability Properties of Multi-Term Fractional-Differential Equations.
- Source :
- Fractal & Fractional; Feb2023, Vol. 7 Issue 2, p117, 16p
- Publication Year :
- 2023
-
Abstract
- Necessary and sufficient stability and instability conditions are reviewed and extended for multi-term homogeneous linear fractional differential equations with Caputo derivatives and constant coefficients. A comprehensive review of the state of the art regarding the stability analysis of two-term and three-term fractional-order differential equations is provided, which is then extended to the case of four-term fractional-order differential equations. The stability and instability properties are characterized with respect to the coefficients of the multi-term fractional differential equations, leading to both fractional-order-dependent and fractional-order-independent characterizations. In the general case, fractional-order-independent stability and instability properties are described for fractional-order differential equations with an arbitrary number of fractional derivatives. [ABSTRACT FROM AUTHOR]
- Subjects :
- FRACTIONAL differential equations
DIFFERENTIAL equations
EQUATIONS
Subjects
Details
- Language :
- English
- ISSN :
- 25043110
- Volume :
- 7
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Fractal & Fractional
- Publication Type :
- Academic Journal
- Accession number :
- 162115763
- Full Text :
- https://doi.org/10.3390/fractalfract7020117