陌雨’的博客

Hadamard 分数阶微分：Dαy(t)=1Γ(n−α)(tddt)n∫1t(ln⁡ts)n−α+1y(s)dssD^\alpha y(t)=\frac{1}{\Gamma(n-\alpha)}\left(t\frac{\rm{d}}{{\rm d}t}\right)^n\int_1^t\left(\ln\frac{t}{s}\right)^{n-\alpha+1}y(s)\frac{{\rm d}s}{s}Dαy(t)=Γ(n−α)1​(tdtd​)n∫1t​(lnst​)n−α+1y(s)sds​