290 citations · 1.8k across the 21 of their papers we have counts for
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math.NA2019★ 200 cited
Trapezoidal methods for fractional differential equations: theoretical and computational aspects
Roberto Garrappa
The paper describes different approaches to generalize the trapezoidal method to fractional differential equations. We analyze the main theoretical properties and we discuss comput…
math.CA2019★ 15 cited
Some results on the complete monotonicity of the Mittag-Leffler functions of Le Roy type
K. Górska, A. Horzela, R. Garrappa
The paper by R. Garrappa, S. Rogosin, and F. Mainardi, entitled {\em On a generalized three-parameter Wright function of the Le Roy type} and published in [Fract. Calc. Appl. Anal.…
math.NA2019★ 28 cited
Neglecting nonlocality leads to unreliable numerical methods for fractional differential equations
Roberto Garrappa
In the paper titled "New numerical approach for fractional differential equations" by A. Atangana and K.M. Owolabi [Math. Model. Nat. Phenom., 13(1), 2018], it is presented a metho…