The method of lower and upper solutions for mixed fractional four-point boundary value problem with p-Laplacian operator
The method of lower and upper solutions for mixed fractional four-point boundary value problem with p-Laplacian operator
复制标题
DOI：
10.1016/j.aml.2016.10.001
复制
发表时间：
2017-03
期刊：
影响因子：
--
通讯作者：
Xiping Liu;Mei Jia;W. Ge
中科院分区：
文献类型：
--
作者：
Xiping Liu;Mei Jia;W. Ge
基于单调迭代技术，提出了一种新的上下解方法，用于研究具有混合分数阶导数和p-Laplacian算子的非线性分数阶微分方程的多点边值问题.建立了四点边值问题正解存在性的一些新结果。最后，一个例子来说明我们的主要结果的广泛的潜在应用。
Based on the monotone iterative technique, a new method of lower and upper solutions which is used to study the multi-point boundary value problem of nonlinear fractional differential equations with mixed fractional derivatives and p-Laplacian operator is proposed. Some new results on the existence of positive solutions for the four-point boundary value problem are established. Finally, an example is presented to illustrate the wide range of potential applications of our main results.