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 :
| Szerzők: | |
|---|---|
| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2025
|
| Sorozat: | Electronic journal of qualitative theory of differential equations
|
| Kulcsszavak: | Differenciálegyenlet - törtrendű, Differenciálegyenlet - késleltetési |
| Tárgyszavak: | |
| doi: | 10.14232/ejqtde.2025.1.50 |
| Online Access: | http://acta.bibl.u-szeged.hu/88930 |
| LEADER | 01426nas a2200241 i 4500 | ||
|---|---|---|---|
| 001 | acta88930 | ||
| 005 | 20251120092822.0 | ||
| 008 | 251120s2025 hu o 000 eng d | ||
| 022 | |a 1417-3875 | ||
| 024 | 7 | |a 10.14232/ejqtde.2025.1.50 |2 doi | |
| 040 | |a SZTE Egyetemi Kiadványok Repozitórium |b hun | ||
| 041 | |a eng | ||
| 100 | 1 | |a Zheng Wei | |
| 245 | 1 | 0 | |a Stability sets for fractional differential equations with two delays |h [elektronikus dokumentum] / |c Zheng Wei |
| 260 | |c 2025 | ||
| 300 | |a 20 | ||
| 490 | 0 | |a Electronic journal of qualitative theory of differential equations | |
| 520 | 3 | |a 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. | |
| 650 | 4 | |a Természettudományok | |
| 650 | 4 | |a Matematika | |
| 695 | |a Differenciálegyenlet - törtrendű, Differenciálegyenlet - késleltetési | ||
| 700 | 0 | 1 | |a Matsunaga Hideaki |e aut |
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/88930/1/ejqtde_2025_050.pdf |z Dokumentum-elérés |