Applied Mathematics and Nonlinear Sciences
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Journal

Applied Mathematics and Nonlinear Sciences


Volume & Issue

Volume 1, Issue 1


Published on

January 1, 2016


Pages

11-22


DOI

10.21042/AMNS.2016.1.00002
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Article

Boundary value problems for fractional differential equation with causal operators

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Authors

Jingfei Jiang Affiliation:
Division of Dynamics and Control, School of Astronautics, Harbin Institute of Technology, P.O. Box 137, Harbin, 150001, China P R , Dengqing Cao Affiliation:
Division of Dynamics and Control, School of Astronautics, Harbin Institute of Technology P.O. Box 137 150001, Harbin, China and Huatao Chen Affiliation:
Division of Dynamics and Control, School of Astronautics, Harbin Institute of Technology, P.O. Box 137, Harbin, 150001, China P R


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.


Keywords

Fractional differential equation, Causal operator, Boundary value problems, Lower and upper solution, Extremal solution and quasisolutions., 34B15, 34A45


Citation

Jiang, J., Cao, D., & Chen, H. (2016). Boundary value problems for fractional differential equation with causal operators. Applied Mathematics and Nonlinear Sciences, 1(1), 11–22. https://doi.org/10.21042/AMNS.2016.1.00002
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