Journal
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
Volume 43, Issue 8, Pages 5450-5463Publisher
WILEY
DOI: 10.1002/mma.6285
Keywords
backward problem; Caputo fractional; fractional wave equation; regularization
Categories
Ask authors/readers for more resources
In this paper, we consider a backward problem for an inhomogeneous time-fractional wave equation in a general bounded domain. Such a backward problem is of practically great importance because we often do not know the initial density of substance, but we can observe the density at a positive moment. The existence and regularity for the backward problem are investigated. The backward problem is ill-posed, and we propose a regularizing scheme by using a modified regularization method. We also prove the convergence rate for the regularized solution by using some a priori regularization parameter choice rule.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available