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- W3208090187 abstract "In this paper, three kinds of numerical formulas are proposed for approximating the Caputo–Hadamard fractional derivatives, which are called L1-2 formula, L2-1σ formula, and H2N2 formula, respectively. Among them, the numerical formulas L1-2 and L2-1σ are for order α∈(0,1) with (3−α)-th order convergence, and H2N2 formula is for order α∈(1,2) with (3−α)-th order convergence too, where the theoretical convergence order has been verified by some illustrative examples. Finally, these three new formulas are applied to long-term integration of fractional differential systems." @default.
- W3208090187 created "2021-11-08" @default.
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- W3208090187 date "2022-03-01" @default.
- W3208090187 modified "2023-10-16" @default.
- W3208090187 title "Numerical approaches to Caputo–Hadamard fractional derivatives with applications to long-term integration of fractional differential systems" @default.
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- W3208090187 doi "https://doi.org/10.1016/j.cnsns.2021.106096" @default.
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