Existence of Mild Solutions to a Cauchy Problem Presented by Fractional Evolution Equation with an Integral Initial Condition

Document Type : Research Paper


1 Department of Mathematics, Yazd University, Yazd, Iran.

2 Department of Mathematics, College of Science, Shiraz University, 74811-71466 Shiraz, Iran


In this article, we apply two new fixed point theorems to investigate the existence of mild solutions for a nonlocal fractional Cauchy problem with an integral initial condition in Banach spaces.