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Uniform asymptotic stability of solutions of fractional functional differential equations. (English) Zbl 1296.34162

Summary: Some global existence and uniform asymptotic stability results for fractional functional differential equations are proved. It is worth mentioning that when \(\alpha=1\) the initial value problem \[ D^\alpha[y(t)e^{\beta t}]=f(t,y_t)e^{\beta t},\, t\in[t_0,\infty), \]
\[ t_0\geqslant 0,\, 0<\alpha<1,\, y(t)=\phi(t),\, t_0-h\leqslant t\leqslant t_0 \] reduces to a classical dissipative differential equation with delays.

MSC:

34K37 Functional-differential equations with fractional derivatives
34K20 Stability theory of functional-differential equations

Software:

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References:

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