Common fixed point theorems for auxiliary functions with applications in fractional differential equation

被引：10

作者：

Wongsaijai, Ben ^{[1
,2
,3
]}

Charoensawan, Phakdi ^{[1
,2
,3
]}

Suebcharoen, Teeranush ^{[1
,2
,3
]}

Atiponrat, Watchareepan ^{[1
,2
]}

机构：

[1] Chiang Mai Univ, Adv Res Ctr Computat Simulat, Chiang Mai 50200, Thailand

[2] Chiang Mai Univ, Fac Sci, Dept Math, Chiang Mai 50200, Thailand

[3] CHE, Ctr Excellence Math, Si Ayutthaya Rd, Bangkok 10400, Thailand

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2021年 / 2021卷 / 01期

关键词：

Fixed point; Common fixed point; Fractional differential equation; CONTRACTIONS; SPACES;

D O I：

10.1186/s13662-021-03660-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we investigate h-phi contraction mappings with two metrics endowed with a directed graph which involve auxiliary functions. The achievement allows us to obtain applications for the existence of the solutions for Caputo fractional boundary value problems with the integral boundary condition type. In addition, we also give examples and numerical experiments supporting our main results.

引用

页数：23

共 37 条

[1] Solutions of the Nonlinear Integral Equation and Fractional Differential Equation Using the Technique of a Fixed Point with a Numerical Experiment in Extended b-Metric Space [J].