Stability sets for fractional differential equations with two delays
The main subject of this study is a linear fractional-order differential equation with two delayed terms. By applying the D-decomposition method to the characteristic equation, we present a stability region as a necessary and sufficient condition for the asymptotic stability of the zero solution. Gi...
Elmentve itt :
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2025
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | Differenciálegyenlet - törtrendű, Differenciálegyenlet - késleltetési |
| Tárgyszavak: | |
| doi: | 10.14232/ejqtde.2025.1.50 |
| Online Access: | http://acta.bibl.u-szeged.hu/88930 |
| Tartalmi kivonat: | The main subject of this study is a linear fractional-order differential equation with two delayed terms. By applying the D-decomposition method to the characteristic equation, we present a stability region as a necessary and sufficient condition for the asymptotic stability of the zero solution. Given the relationship between the Caputo fractional derivative and the integer-order derivative, we compare the conditions in this study with the results of the corresponding first-order delay differential equation to demonstrate the validity of the extension. |
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| Terjedelem/Fizikai jellemzők: | 20 |
| ISSN: | 1417-3875 |