Monotone iterative solutions for a coupled system of p-Laplacian differential equations involving the Riemann–Liouville fractional derivative

Advances in Difference Equations

Ying He¹  Bo Bi² 

[1] School of Mathematics and Statistics, Northeast Petroleum University, 163318, Daqing, P.R. China;School of Public Health, Hainan Medical College, 571101, Haikou, P.R. China;School of Mathematics and Statistics, Northeast Petroleum University, 163318, Daqing, P.R. China;

关键词: Fractional differential system;    Nonlocal coupled integral boundary conditions;    Extremal solution;    p;    Monotone iterative technique;    34B15;   

DOI  :  10.1186/s13662-020-03203-w

来源: Springer

【 摘 要 】

Applying the monotone iterative technique and the method of upper and lower solutions, we investigate the existence of extremal solutions for a nonlinear system of p-Laplacian differential equations with nonlocal coupled integral boundary conditions. We present a numerical example to illustrate the main result.

【 授权许可】

CC BY