Backward problem in a coupled time-fractional reaction diffusion system by optimization method

doi:10.1016/j.cnsns.2026.109778

Backward problem in a coupled time-fractional reaction diffusion system by optimization method

2026-01-22

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PRE

AI

孙亮亮 (Liangliang Sun) *

Z

Zhaoqi Zhang

DOI：10.1016/j.cnsns.2026.109778

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Abstract

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• Using the Riemann-Liouville weak formulation and the properties of the Mittag-Leffer function, the well-posedness of the state problem and the regularity of the its solution are given. • The existence and uniqueness of minimizer to the least square optimization problem, and an estimation of the stability in regard to the final data are proved. • A numerical scheme for the implementing of the method is given and is validated by means of some numerical examples.

Backward problem in a coupled time-fractional reaction diffusion system by optimization method

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