中北大学学报（自然科学版）2016，Vol.37Issue(5)：456-460,469,6.DOI:10.3969/j.issn.1673-3193.2016.05.004
一类分数阶Euler-Bernoulli梁耦合格点系统解的存在唯一性
Existence and Uniqueness of Solutions of a Class of Fractional Order Euler-Bernoulli Beam Coupling Lattice Systems
摘要
Abstract
An exploration was made on existence and uniqueness of the solutions of a class of fractional order Euler-Bernoulli beam coupling lattice systems,which was effected by the thermal effect and gener-alized to the fractional order form.By using the principle of continuous maps and Schauder ’s fixed point theorem,the existence of solutions of the lattice system was obtained.And by using the contraction mapping theory,uniqueness of solution of the lattice system was proved.In the engineering,the result has guiding significance for the discussion and estimation of elastic vibration of beam about Euler-Ber-noulli beam model.关键词
分数阶格点系统/Caputo导数/巴拿赫压缩映射原理/存在唯一性Key words
lattice system of fractional order/Caputo derivative/Banach contraction mapping theory/existence and uniquess分类
数理科学引用本文复制引用
景蓓,魏毅强..一类分数阶Euler-Bernoulli梁耦合格点系统解的存在唯一性[J].中北大学学报（自然科学版）,2016,37(5):456-460,469,6.基金项目
国家自然科学基金面上项目(11472184) （11472184）
