Stability in delay nonlinear fractional differential equations
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 \(\alpha \) \((1<\alpha <2\)). 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 \(g\left( t,0\right) =f\left( t,0,0\right) \), which include and improve some related results in the literature.
KeywordsDelay fractional differential equations Fixed point theory Stability
Mathematics Subject Classification34K20 34K30 34K40
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