西北师范大学学报（自然科学版）2017，Vol.53Issue(3)：13-18,6.DOI:10.16783/j.cnki.nwnuz.2017.03.003
一类Caputo分数阶p-Laplace反周期边值问题解的存在性
Existence of solutions to anti-periodic Caputo fractionalboundary value problem with p-Laplacian operator
摘要
Abstract
The existence of solutions to anti-periodic Caputo fractional boundary value problem with p-Laplacian operator is investigated in this paper.The green function of the anti-periodic Caputo fractional boundary value problem is given,and it is proved that finding the solutions to the problem is equivalent to finding the fixed points of the associated functional.Then,by means of the Banach's contraction mapping principle and Schauder fixed point theorem,some existence results are obtained.Finally,an example is provided for illustrating the application of our main results.关键词
Caputo分数阶微分方程/反周期边值问题/解的存在性/p-Laplace算子Key words
Caputo fractional differential equation/anti-periodic boundary value problem/existence of solution/p-Laplacian operator分类
数理科学引用本文复制引用
贠永震,苏有慧,胡卫敏..一类Caputo分数阶p-Laplace反周期边值问题解的存在性[J].西北师范大学学报（自然科学版）,2017,53(3):13-18,6.基金项目
国家自然科学基金资助项目(11361047,11501560) （11361047,11501560）
江苏省自然科学基金资助项目(BK20151160) （BK20151160）
青海省自然科学基金资助项目(2012-Z-910) （2012-Z-910）
江苏省六大人才高峰项目(2013-JY-003) （2013-JY-003）
徐州工程学院重点项目(2013102) （2013102）
