Monotone iterative method for fractional differential equations

In this article, by using the lower and upper solution method, we prove the existence of iterative solutions for a class of fractional initial value problem with non-monotone term $$\displaylines{ D_{0+}^\alpha u(t)=f(t, u(t)), \quad t \in (0, h), \cr t^{1-\alpha}u(t)\big|_{t=0} = u_0 \neq...

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Bibliographic Details
Main Authors: Zhanbing Bai, Zhang Shuo, Sujing Sun, Chun Yin
Format: Article
Language:English
Published: Texas State University 2016-01-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2016/06/abstr.html