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In this paper we discuss the existence and uniqueness of solutions to the nonlocal fractional nonlinear integrodifferential equations
Dqx(t) = f(t, x(t), ∫t0 a(t,s)h(s, x(s))ds), t ∈ [0, T] x(0) + g(x) = x0, where 0 < q < 1
in a Banach space. We use classical tools from functional analysis to obtain the results.