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We study the existence and uniqueness theorem for the nonlinear fractional mixed Volterra- g s x s ds, where t ∈ 0, 1 , 0 < α < 1, and f is a given function. We point out that such a kind of initial conditions or nonlocal restrictions could play an interesting role in the applications of the mentioned model. The results obtainded are applied to an example.

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In this paper, we analyze the uniqueness and stability for implicit fractional differential equations with impulsive conditions involving the hadamard derivative of fractional order α. An illustrative example is also presented.