Boundary value problems for fractional differential equation with causal operators
, and | Jan 01, 2016
Published Online: Jan 01, 2016
Page range: 11 - 22
Received: May 15, 2015
Accepted: Nov 04, 2015
DOI: https://doi.org/10.21042/AMNS.2016.1.00002
Keywords
© 2016 Jingfei Jiang, Dengqing Cao, Huatao Chen, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.
In this paper, we study the two-point boundary value problems for fractional differential equation with causal operator. By lower and upper solution method and the monotone iterative technique, some results for the extremal solution and quasisolutions are obtained. At last, an example is given to demonstrate the validity of assumptions and theoretical results.