Stability with respect to part of the variables of nonlinear Caputo fractional differential equations

Ben Makhlouf, Abdellatif

Mathematical Communications, Tome 22 (2017) no. 1, p. 119-126 / Harvested from Mathematical Communications

Résumé

In this paper, the stability with respect to part of the variables of nonlinear Caputo fractional differential equations is studied. A sufficient conditions of stability, uniform stability, Mittag Leffler stability and asymptotic uniform stability of this type are obtained within the method of Lyapunov-like function.

Publié le : 2017-11-25
Classification: Fractional order system; stability analysis; Mittag-Leer function, 26A33; 65L20

@article{mc2326,
     author = {Ben Makhlouf, Abdellatif},
     title = {Stability with respect to part of the variables of nonlinear Caputo fractional differential equations},
     journal = {Mathematical Communications},
     volume = {22},
     number = {1},
     year = {2017},
     pages = { 119-126},
     language = {eng},
     url = {http://dml.mathdoc.fr/item/mc2326}
}

Ben Makhlouf, Abdellatif. Stability with respect to part of the variables of nonlinear Caputo fractional differential equations. Mathematical Communications, Tome 22 (2017) no. 1, pp.  119-126. http://gdmltest.u-ga.fr/item/mc2326/