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A regularization method for determining the caputo derivative of order 𝛼 ∈ (1, 2) in 𝐿∞[0, 1]This paper proposes a regularization method for determining the Caputo derivative of order 𝛼 ∈ (1, 2) from noisy data in 𝐿∞[0, 1]. The exact data function 𝑞 ∈ 𝐶4[0, 1] is assumed to satisfy 𝑞(0)... Author: ANH NGUYỄN THẾ Keyword: Caputo fractional derivative ill-posed problems regularization method a priori parameter choice rule a posteriori parameter choice rules error estimates.
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Stability Estimate and Regularization for Caputo Fractional Derivative of Order a e (1, 3/2)In this paper, we establish a Hölder-type stability estimate for recovering the Caputo fractional derivative of order a e(1, 3/2) from noisy data under homogeneous endpoint constraints. The
ill-posed... Author: Hieu Nguyen Van Keyword: Caputo fractional derivative stability estimate Tikhonov regularization error estimate
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