2 papers
math.NA2018
Asymptotic expansions and approximations for the Caputo derivative
Yuri Dimitrov, Radan Miryanov, Venelin Todorov
In this paper we use the asymptotic expansions of the binomial coefficients and the weights of the L1 approximation to obtain approximations of order and second-order approxi…
math.NA2016
Approximations for the Caputo derivative (II)
Yuri Dimitrov, Venelin Todorov, Radan Miryanov
In the present paper we use the expansion formula of the polylogarithm function to construct approximations of the Caputo derivative which are related to the midpoint approximation…