Stability analysis of nonlinear Riemann-Liouville fractional differential equations

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In this paper, we give sufficient conditions to guarantee the asymptotic stability of the zero solution to a kind of nonlinear fractional differential equations with the Riemann Liouville fractional derivative of order α∈(n-1,n) by using Krasnoselskii's fixed point theorem and the Banach contraction mapping principle in a weighted Banach space. The results obtained here extend the work of Li and Kou [6].