The aim of this paper is of studying the stability of solution of a backward problem of a timefractional diffusion equation with perturbed order. We investigate the well-posedness of the backward problem with perturbed order for t>0. The results on the unique existence and continuity with respect to the fractional order, the source term as well as the final value of the solution are given. At t=0 the backward problem is ill-posed and we introduce a truncated method to regularize the backward problem with respect to inexact fractional order. Some error estimates are provided in Holder type.
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How to Cite
Dien, N., & Trong, D. (2019). Stability of solution of a backward problem of a time-fractional diffusion equation with perturbed order. Science and Technology Development Journal, 22(1), 158-164. https://doi.org/https://doi.org/10.32508/stdj.v22i1.1222
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Science and Technology Development Journal (STDJ) (1859-0128) is the official journal of Viet Nam National University Ho Chi Minh City, Viet Nam, published by Viet Nam National University Ho Chi Minh City, Viet Nam. Science & Technology Development Journal is a multiple discipline science journal covering from natural science, engineering & technology, humanities, art, laws, economics, earth science, environment, social sciences and health sciences.