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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.NA2018★ 1 cited
Numerical solutions of ordinary fractional differential equations with singularities
Yuri Dimitrov, Ivan Dimov, Venelin Todorov
The solutions of fractional differential equations (FDEs) have a natural singularity at the initial point. The accuracy of their numerical solutions is lower than the accuracy of t…