摘要
本文依据K.Nishimuto教授于1979年所定义的分数微积分定义Lemmas为基础,给出一种线性阶微分方程及偏微分方程(包括均匀及非均匀)的方法,使其更一般化,概括范围更宽、更广.
In this parer, applications of the fractional calculus to the form (Az 2+Bz+C)ψ 2+(Dz+G)ψ 1+Eψ=f and the partial differential equation 2μz 2(Az 2+Bz+C)+(Dz+G)μz+δμ(z,t)=M 2μT 2+NμT, where ψ 1= d ψ d z and ψ 2= d 2ψ d z 2 are presented.
关键词
分数微积分一般化
均匀
非均匀
二阶微分方程线性
fractional calculus, generalization, homogeneous, nonhomogeneous, the second order differential equation, linear