250 citations · 858 across the 5 of their papers we have counts for
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math.CA2021★ 137 cited
Trends, Directions for Further Research, and Some Open Problems of Fractional Calculus
Kai Diethelm, Virginia Kiryakova, Yuri Luchko +2
The area of fractional calculus (FC) has been fast developing and is presently being applied in all scientific fields. Therefore, it is of key relevance to assess the present state…
math.CA2018★ 99 cited
A critical analysis of the conformable derivative
Ahmed A. Abdelhakim, José A. Tenreiro Machado
We prove that conformable ``fractional" differentiability of a function is nothing else than the classical differentiability. More precis…
math.CA2017★ 128 cited
A new fractional derivative involving the normalized sinc function without singular kernel
Xiao-Jun Yang, Feng Gao, J. A. Tenreiro Machado +1
In this paper, a new fractional derivative involving the normalized sinc function without singular kernel is proposed. The Laplace transform is used to find the analytical solution…