A generalized Gronwall inequality and its application to fractional neutral evolution inclusions

A generalized Gronwall inequality and its application to fractional neutral evolution inclusions

Abstract This paper deals with the fractional neutral evolution differential inclusions. The existence results are established by using the fractional power of operators and a fixed point theorem for multivalued map. Moreover, we present a new generalized Gronwall inequality with singularity, which...

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Bibliographic Details
Main Authors: Zufeng Zhang, Zhangzhi Wei
Format: Article
Language:English
Published: SpringerOpen 2016-02-01
Series:Journal of Inequalities and Applications
Subjects:
generalized Gronwall inequality
fractional neutral evolution inclusions
mild solution
analytic semigroup
Online Access:http://link.springer.com/article/10.1186/s13660-016-0991-6

Internet

http://link.springer.com/article/10.1186/s13660-016-0991-6

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