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

Advances in Difference Equations

Rahmat Ali Khan¹  Yongjin Li¹  Kamal Shah² 

[1] Department of Mathematics, Sun Yat-Sen University, Guangzhou, P.R. China;Department of Mathematics, University of Malakand, Dir (Lower), Pakistan

关键词: coupled system;    coupled integral boundary conditions;    fractional derivative;    monotone iterative technique;    extremal system of solutions;    34A08;    35A11;    34G10;    34G20;   

DOI  :  10.1186/s13662-017-1308-x

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY