分数阶微分方程的初值问题解的存在性  

Existence of Solution for Fractional Differential Equationof Initial Value Problem

作　　者：王新年[1] 米芳[1] 王小春[1] 

机构地区：[1]太原师范学院数学系,太原030012

出　　处：《太原科技大学学报》2011年第2期135-137,共3页Journal of Taiyuan University of Science and Technology

摘　　要：利用Schauder不动点定理,探讨了非线性分数阶微分方程Dα0,tx(t)=f(t,x(t))的初值问题,其中微分方程的阶数α为区间(2,3]的任意实数,导数形式为Riemann-Liouville型导数。给出了该方程的右端函数f(t,x(t))满足Perron条件,证明了其解的存在性。In this note, the initial problem for nonlinear fractional differential equation with order a∈ （2,3 ] and Riemann-Liouville fractional derivative was discussed by employing Schauder fixed theorem. The sufficient conditions for the existence of solutions are derived.

关 键 词：Riemann—Liouville型导数 perron条件 存在性 

分 类 号：O175.6[理学—数学]