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By means of two fractional order integral inequalities we investigate theexistence and uniqueness of the solutions of the fractional nonlinear Volterraintegral equation and a fractional nonlinear integrodifferential equation inBanach space $C_{\xi}$, using an adequate norm, $||\cdot||_{\xi,\infty}$. Weestimate the solutions and investigate their continuous dependence.

Existence, uniqueness, estimation and continuous dependence of the  solutions of a nonlinear integral and an integrodifferential equations of  fractional order