Numerical Methods for Fractional Calculus

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New aspects of time fractional optimal control problems within operators with nonsingular kernel (2020, background): “In the literature, there are several definitions of fractional differential operators including Caputo, Riemann-Liouville, Marchaud and Hadamard [39]; however, all of these operators suffer from singular kernel.”
Weyl and Marchaud Derivatives: A Forgotten History (2017, background): “Among them we point out [21] and the recent handbook [37].”
Numerical Approaches to Fractional Integrals and Derivatives: A Review (2020, methodology): “Then we obtain the fractional Newton–Cotes formula [38] [ RLD a,x f (x) ] x=xj ≈ [ RLD a,x pk,r(x) ] x=xj = j−1 ∑ k=0 r ∑ i=0 A i,j f (x (k) i ), (29)”
On Riesz derivative (2019, methodology): “([17]) Let m ∈ Z+ and u(k)(x) (k = 0, 1, .”
An iterative approach for solving fractional optimal control problems (2018, neutral): “We would like to refer the reader interested in fractional calculus to the books by Kilbas et al. (2006), Sabatier et al. (2007), Diethelm (2010), and Changpin and Fanhai (2015).”