Iterative positive solutions to a coupled fractional differential system with the multistrip and multipoint mixed boundary conditions

Advances in Difference Equations

Xiaodi Zhao¹  Yuehan Liu¹  Huihui Pang¹ 

[1] College of Science, China Agricultural University;

关键词: Fractional differential system;    Multistrip and multipoint mixed boundary conditions;    Green’s function;    Monotone iterative technique;   

DOI  :  10.1186/s13662-019-2259-1

来源: DOAJ

【 摘 要 】

Abstract Using the monotone iterative technique, we investigate the existence of iterative positive solutions to a coupled system of fractional differential equations supplemented with multistrip and multipoint mixed boundary conditions. It is worth mentioning that the nonlinear terms of the system depend on the lower fractional-order derivatives of the unknown functions and the boundary conditions involve the combination of the multistrip fractional integral and the multipoint value of the unknown functions in [0,1] $[0,1]$.

【 授权许可】

Unknown