Existence and attractivity of global solutions for a class of fractional quadratic integral equations in Banach space

摘要

In this paper, we present some results concerning the existence and attractivity of global solutions for a class of nonlinear fractional integral equations and fractional differential equations in a Banach space X, respectively. These results are new even in the case of X = R $X=mathbf{R}$ . Some examples are given to show the applications of the abstract results.