Existence and uniqueness of mild solutions for a class of nonlinear fractional evolution equation

Advances in Difference Equations

Fang Wang¹  Ping Wang² 

[1] School of Maths and Computing Science, Changsha University of Science and Technology, Changsha, China;Xiamen Institute of Technology, Huaqiao University, Fujian, China

关键词: fractional derivative;    evolution equation;    Riemann-Liouville integral;    existence;    uniqueness;   

DOI  :  10.1186/1687-1847-2014-150

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we discuss a class of fractional evolution equations with the Riemann-Liouville fractional derivative and obtain the existence and uniqueness of mild solutions by using some classical fixed point theorem. Then we give some examples to demonstrate the main results. MSC:30C45, 30C80.

【 授权许可】

CC BY