<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></abstract>

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.

Boundary value problems for fractional differential equation with causal operators

Applied Mathematics and Nonlinear Sciences

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...

Boundary value problems for fractional differential equation with causal operators

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
Fractional differential equation, Causal operator, Boundary value problems, Lower and upper solution, Extremal solution and quasisolutions.

© 2016 Jingfei Jiang, Dengqing Cao, Huatao Chen, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Boundary value problems for fractional differential equation with causal operators

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

KeywordsFractional differential equation, Causal operator, Boundary value problems, Lower and upper solution, Extremal solution and quasisolutions.

© 2016 Jingfei Jiang, Dengqing Cao, Huatao Chen, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Fractional differential equation, Causal operator, Boundary value problems, Lower and upper solution, Extremal solution and quasisolutions.