Existence and Ulam stability of mild solutions for nonlinear fractional integro-differential equations in a Banach space
摘要
In this article, we apply the Krasnoselskii and Banach fixed point theorems to obtain the existence and uniqueness of mild solutions for a fractional integro-differential equation in a Banach space with integral boundary conditions. Also, the Ulam stability results are proved. Finally, we give two examples to illustrate our obtained results.