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A Tikhonov-type regularization method for Caputo fractional derivative

  • Nguyen Van Duc,
  • Thi-Phong Nguyen,
  • Nguyen Phuong Ha,
  • Nguyen The Anh,
  • Luu Duc Manh,
  • Hoang Cong Gia Bao

摘要

Stability estimates of Hölder type for the problem of evaluating the Caputo fractional derivative are obtained. This ill-posed problem is regularized by a Tikhonov-type method, which guarantees error estimates of Hölder type. Numerical results are presented to confirm the theory.