Stability results for backward time-fractional parabolic equations. (19th November 2019)

• Record Type: Journal Article
• Authors: Nho Hào, Dinh; Liu, Jijun; Van Duc, Nguyen; Van Thang, Nguyen
• Is Part Of: Inverse problems. Volume 35:Number 12(2019)
• Publication Date: 2019-11-19
• Subjects: backward time-fractional parabolic equations -- stability estimates -- non-local boundary value problem method; Inverse problems (Differential equations) -- Periodicals; 515.357
• DOI: 10.1088/1361-6420/ab45d3
• Languages: English
• ISSNs: 0266-5611

Abstract

Abstract: Optimal order stability estimates of Hölder type for the backward Caputo time-fractional abstract parabolic equations are obtained. This ill-posed problem is regularized by a non-local boundary value problem method with a priori and a posteriori parameter choice rules which guarantee error estimates of Hölder type. Numerical implementations are presented to show the validity of the proposed scheme.