Boundary value problems for fractional differential equation with causal operators

Applied Mathematics and Nonlinear Sciences

Jiang Jingfei¹  Chen Huatao¹  Cao Dengqing¹ 

[1] Division of Dynamics and Control, School of Astronautics, Harbin Institute of Technology, P.O. Box 137, Harbin, 150001, China P R;

关键词: fractional differential equation;    causal operator;    boundary value problems;    lower and upper solution;    extremal solution and quasisolutions.;    34b15;    34a45;   

DOI  :  10.21042/AMNS.2016.1.00002

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown