Document Type : Research Paper

Authors

• Mohamad Hossein Akrami ¹
• Gholam Hussain Erjaee ²

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

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

Abstract

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.

Keywords

• Fractional evolution equation
• Cauchy problem
• Fixed point theorem
• Mild solution