中北大学学报（自然科学版）2016，Vol.37Issue(5)：446-450,5.DOI:10.3969/j.issn.1673-3193.2016.05.002
一类弱奇异积分不等式及其应用
A Class of Weakly Singular Integral Inequality and Its Application
摘要
Abstract
A class of iterated nonlinear Volterra-Fredholm type integral inequality with weak singularity was investigated,which generalized the integral inequality without singularity to the integral inequality with weak singularity,and generalized the linear integral inequality with weak singularity to the nonlin-ear integral inequality with weak singularity.By the definitions and rules of fractional differential and fractional integral,adopting analysis techniques,such as amplification method,differential and integra-tion,change of variable,inverse function,the estimation of the unknown functions is given.The results of the references are generalized.Finally,to illustrate the validity of the results,our result is used to give the estimation of the solutions of a class of nonlinear Volterra-Fredholm type fractional integral e-quations.关键词
弱奇异积分不等式/分析技巧/分数阶积分方程/估计Key words
weakly singular integral inequality/analysis technique/fractional integral equation/estima-tion分类
数理科学引用本文复制引用
钟华,王五生..一类弱奇异积分不等式及其应用[J].中北大学学报（自然科学版）,2016,37(5):446-450,5.基金项目
国家自然科学基金资助项目(11161018) （11161018）
广西自然科学基金资助项目(2012GXNSFAA053009) （2012GXNSFAA053009）
广西高等学校科研项目(KY2015ZD103,KY2015YB257) （KY2015ZD103,KY2015YB257）
