Stability in delay nonlinear fractional differential equations

Hamid Boulares, et al.

Volume 65, pages243–253, 2016

Rendiconti del Circolo Matematico di Palermo Series 2

www.doi.org/10.1007/s12215-016-0230-5

Abstract

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 αα (1<α<2(1<α<2). By using the Krasnoselskii’s fixed point theorem 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)g(t,0)=f(t,0,0), which include and improve some related results in the literature.