Lipschitz stability in inverse source and inverse coefficient problems for a first- and half-order time-fractional diffusion equation

2018/11/15 by Atsushi Kawamoto, Kawamoto, Atsushi, Manabu Machida +1
Engineering · Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Fractional Differential Equations Solutions #Numerical methods in inverse problems #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1811.06223

openalex publication_date 2018/11/15 · openalex created_date 2018/11/29 · openalex updated_date 2026/07/28

Abstract

We consider inverse problems for the first and half order time fractional equation. We establish the stability estimates of Lipschitz type in inverse source and inverse coefficient problems by means of the Carleman estimates.

Citations

• Equation of motion for a small rigid sphere in a nonuniform flow
• Fractional Differential Equations

Related

• Inverse problems for a half-order time-fractional diffusion equation in arbitrary dimension by Carleman estimates
• Hölder stability estimate in an inverse source problem for a first and half order time fractional diffusion equation
• Global Lipschitz stability for a fractional inverse transport problem by Carleman estimates
• Conditional stability for an inverse source problem for the time-fractional diffusion equation
• Logarithmic stable recovery of the source and the initial state of time fractional diffusion equations