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

Published 2018-06-05Version 1

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.