Uniform approximation of fractional derivatives and integrals with application to fractional differential equations

Hassan Khosravian-Arab, Delfim F. M. Torres

It is well known that for every $f\in C^m$ there exists a polynomial $p_n$ such that $p_n^{(k)}\to f^{(k)}$, $k=0,\dots ,m$. Here we prove such a result for fractional (non…