Iterative technique for coupled integral boundary value problem of non-integer order differential equations

作者：Li, Yongjin^*; Shah, Kamal; Khan, Rahmat Ali

来源：Advances in Difference Equations, 2017, 2017(1): 251.

DOI：10.1186/s13662-017-1308-x

• coupled system
• coupled integral boundary conditions
• fractional derivative
• monotone iterative technique
• extremal system of solutions

This article is concerned to the investigation of extremal solutions for a system of fractional order differential equations with coupled integral boundary value problem. In initial stage, we establish a comparison result and then using the iterative technique of monotone type together with the procedure of extremal solutions, we develop sufficient conditions to obtain the solutions for the considered fractional differential system. Moreover, the investigated results are also justified by providing suitable examples.

• 出版日期2017-8-24
• 单位中山大学