function dy=glfdiff(y,t,gam) % glfdiff_mat - evaluation of O(h) GL derivatives with matrix algorithm % % dy=glfdiff_mat(y,t,gam) % % y - the samples of the function handle of the original function % t - the time vector % gam - the fractional order % dy - the fractional-order derivatives, or integrals if gam<0 % Copyright (c) Dingyu Xue, Northeastern University, China % Last modified 28 March, 2017 % Last modified 18 May, 2022 arguments, y(:,1), t(:,1) double, gam(1,1) double, end [y,h,n]=fdiffcom(y,t); w=[1,zeros(1,n-1)]; for j=2:n, w(j)=w(j-1)*(1-(gam+1)/(j-1)); end dy=rot90(hankel(w(end:-1:1)))*y/h^gam; end