Fractional Calculus: Models and Numerical Methods
By YangQuan Chen. 2012
206 citations recorded by the source corpus.
View Paper: https://www.semanticscholar.org/paper/f4bb0dced782385f22969a3ceac6b3bf816aec61
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Citations in the corpus
- On a Fractional Operator Combining Proportional and Classical Differintegrals (2020, unknown): “Other well-known properties of the Caputo derivative include [20]:”
- Solving multi-dimensional fractional optimal control problems with inequality constraint by Bernstein polynomials operational matrices (2013, background): “Over the past decades, a lot of researchers have developed fractional calculus and its applications (e.g. Oldham and Spanier, 1974; Miller and Ross, 1993; Tenreiro Machado, 1997, 1999; Baleanu et al., 2012; and their relevant references).”
- Local fractional series expansion method for solving wave and diffusion equations on Cantor sets (2013, unknown): “Various methods, for example, the Adomian decomposition method [10], the Rach-Adomian-Meyers modified decompositionmethod [11], the variational iteration method [12, 13], the homotopy perturbation method [13, 14], the fractal Laplace and Fourier transforms [15], the homotopy analysismethod [16], the”
- Score Matching Model for Unbounded Data Score (2021, background): “[37] for the rigorous definition of the fractional derivative.”
- Fractional calculus: A survey of useful formulas (2013, unknown): “Eα,1(z) = Eα(z), E1(z) = E1,1(z) = Et(0, 1) = e, E(1) α,β(z) = Eα,β(z) (24) E0(z) = 1 1−z , |z| < 1 and E1(z) = E1,1(z) = Et(0, 1) = e (25)”