TY - JOUR AU - Ardjouni, Abdelouaheb AU - Boulares, Hamid AU - Djoudi, Ahcene PY - 2017/03/23 Y2 - 2024/03/28 TI - Asymptotic stability in delay nonlinear fractional differential equations JF - Proyecciones (Antofagasta, On line) JA - Proyecciones (Antofagasta, On line) VL - 35 IS - 3 SE - DO - 10.4067/S0716-09172016000300004 UR - https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/1218 SP - 263-275 AB - <em style="font-family: verdana; font-size: small; text-align: justify;">In this paper, we give sufficient conditions to guarantee the asymptotic stability of the zero solution to a kind of delay nonlinear fractional differential equations of order α (1 < α < 2) <img src="http://www.scielo.cl/fbpe/img/proy/v35n3/art4_fig1.jpg" alt="" width="85" height="11" />. By using the Banach’s contraction mapping principle in a weighted Banach space, we establish new results on the asymptotic stability of the zero solution provided that g (t, 0) = f (t, 0, 0) = 0, which include and improve some related results in the literature.</em> ER -