Stability analysis of Hilfer fractional differential systems
Rezazadeh, Hadi ; Aminikhah, Hossein ; Refahi Sheikhani, Amir
Mathematical Communications, Tome 21 (2016) no. 1, p. 45-64 / Harvested from Mathematical Communications
Text on Mathematical Communications
In this paper, stability conditions for the fractional order systems have been investigated for the Hilfer case. By using the properties of asymptotic expansion of the Mittag-Leffler function, the Gronwall inequality and the Laplace transform we derive the stability criteria of the fractional differential systems. These systems are included the linear fractional differential systems, nonlinear fractional differential systems and multi-term fractional differential systems.
Publié le : 2016-03-09
Classification:  fractional order system; stability analysis; Hilfer derivative; Mittag-Leffler function,  26A33; 65L20. 
@article{mc1184,
     author = {Rezazadeh, Hadi and Aminikhah, Hossein and Refahi Sheikhani, Amir},
     title = {Stability analysis of Hilfer fractional differential systems},
     journal = {Mathematical Communications},
     volume = {21},
     number = {1},
     year = {2016},
     pages = { 45-64},
     language = {eng},
     url = {http://dml.mathdoc.fr/item/mc1184}
}

Rezazadeh, Hadi; Aminikhah, Hossein; Refahi Sheikhani, Amir. Stability analysis of Hilfer fractional differential systems. Mathematical Communications, Tome 21 (2016) no. 1, pp.  45-64. http://gdmltest.u-ga.fr/item/mc1184/