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In this paper, we study the stability of nonlinear fractional neutral systems equipped with the Caputo derivative. We extend the Lyapunov-Krasovskii approach for the nonlinear fractional neutral systems. Conditions of uniform stability are obtained for the nonlinear fractional neutral systems. MSC:34K20, 34K37, 34K40.

Uniform stability of fractional neutral systems: a Lyapunov-Krasovskii functional approach