@article{Ardjouni_Boulares_Djoudi_2017, title={Asymptotic stability in delay nonlinear fractional differential equations}, volume={35}, url={https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/1218}, DOI={10.4067/S0716-09172016000300004}, abstractNote={<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>}, number={3}, journal={Proyecciones (Antofagasta, On line)}, author={Ardjouni, Abdelouaheb and Boulares, Hamid and Djoudi, Ahcene}, year={2017}, month={Mar.}, pages={263-275} }