【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。更多还原

【Abstract】 In this note,the initial problem for nonlinear fractional differential equation with order α∈(2,3] and Riemann-Liouville fractional derivative was discussed by employing Schauder fixed theorem.The sufficient conditions for the existence of solutions are derived.更多还原