一类具有Riemann-Liouville分数阶积分边值条件的奇异分数阶微分方程解的存在性  

An Existence Result for a Class of Singular Fractional Differential Equation with Riemann-Liouville Fractional Integral Conditions

作　　者：李仁贵[1] 

机构地区：[1]济宁学院数学系,山东济宁273155

出　　处：《数学的实践与认识》2015年第11期285-293,共9页Mathematics in Practice and Theory

摘　　要：研究一类具有Riemann-Liouville分数阶积分边值条件的奇异分数阶微分方程解的存在性,其非线性项包含Caputo型分数阶导数,且在t=0具有奇异性.应用Schauder不动点定理获得了解的存在性定理,并给出了应用实例.A class of boundary value problem of singular fractional differential equation with Riemann-Liouville fractional integral conditions is investigated, which involves the Ca- puto fractional derivative in nonlinear terms and nonlinear terms can be singualr at O. By using Schauder fixed point theory , The suffcient conditions on the existence of solution for the boundary value problem are established. Finally, an example is given to illustrate the application of the result.

关 键 词：积分边值问题 奇异分数阶微分方程 Caputo型分数阶导数 不动点定理 

分 类 号：O175.8[理学—数学]