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arXiv · 1806.01441

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

J. Vanterler da C. Sousa·E. Capelas de Oliveira
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Abstract

By means of two fractional order integral inequalities we investigate the existence and uniqueness of the solutions of the fractional nonlinear Volterra integral equation and a fractional nonlinear integrodifferential equation in Banach space $C_{\xi}$, using an adequate norm, $||\cdot||_{\xi,\infty}$. We estimate the solutions and investigate their continuous dependence.

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J. Vanterler da C. Sousa, E. Capelas de Oliveira. 2018-06-05. Existence, uniqueness, estimation and continuous dependence of the solutions of a nonlinear integral and an integrodifferential equations of fractional order. https://arxiv.org/abs/1806.01441

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