Finite Element Approximations to Caputo–Hadamard Time-Fractional Diffusion Equation with Application in Parameter Identification

A finite element scheme for solving a two-timescale Hadamard time-fractional equation is discussed. We prove the error estimate without assuming the smoothness of the solution. In order to invert the fractional order, a finite-element Levenberg–Marquardt method is designed. Finally, we give correspo...

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Bibliographic Details
Main Authors: Shijing Cheng, Ning Du, Hong Wang, Zhiwei Yang
Format: Article
Language:English
Published: MDPI AG 2022-09-01
Series:Fractal and Fractional
Subjects:
Online Access:https://www.mdpi.com/2504-3110/6/9/525