3 papers
math.AP2026
Inverse -source problem and a strict positivity property for coupled subdiffusion systems
Mohamed BenSalah, Yikan Liu
This article is concerned with the inverse problem on determining the temporal component of the source term in a coupled time-fractional diffusion system by a single point observat…
math.NA2026
Numerical reconstructions of a source term in a mobile-immobile diffusion model from the partial interior observation
Zhiwei Yang, Yikan Liu
We consider an inverse source problem in the two-time-scale mobile-immobile fractional diffusion model from partial interior observation. Theoretically, we combine the fractional D…
math.NA2026
Identifying the source term in a viscoelastic membrane with a Riemann-Liouville time derivative by the partial interior observation
Zhiwei Yang, Yikan Liu
This paper studies an inverse source problem for a viscoelastic membrane, where the material's memory effect is characterized by the Riemann-Liouville fractional derivative. The pr…