Existence of positive mild solutions for a class of fractional evolution equations on the half line

Abstract The equivalent integral equation of a new form for a class of fractional evolution equations is obtained by the method of Laplace transform, which is different from those given in the existing literature. By the monotone iterative method without the assumption of lower and upper solutions,...

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Bibliographic Details
Main Authors: Yi Chen, Zhanmei Lv, Liang Zhang
Format: Article
Language:English
Published: SpringerOpen 2017-09-01
Series:Advances in Difference Equations
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13662-017-1331-y