Existence of an approximate solution for a class of fractional multi-point boundary value problems with the derivative term

Boundary value problems

Yanbin Sang¹  Luxuan He¹ 

[1] Department of Mathematics, School of Science, North University of China, 030051, Taiyuan, Shanxi, P.R. China;

关键词: Fractional equation;    Mixed monotone operator;    Partial order method;    Derivative term;    65R20;    34B15;    34B18;   

DOI  :  10.1186/s13661-021-01497-7

来源: Springer

【 摘 要 】

In this paper, we consider a class of fractional boundary value problems with the derivative term and nonlinear operator term. By establishing new mixed monotone fixed point theorems, we prove these problems to have a unique solution, and we construct the corresponding iterative sequences to approximate the unique solution.

【 授权许可】

CC BY