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20112026
most citedOn time-fractional diffusion equations with space-dependent variable order

59 citations · 416 across the 90 of their papers we have counts for

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6 papers · 1 filter

math.NA2026

Numerical Analysis of Space-Time Dependent Source Identification in Subdiffusion Equations

Siyu Cen, Bangti Jin, Yavar Kian +1

In this work, we propose an easy-to-implement fixed-point algorithm for reconstructing a space-time dependent source in a subdiffusion model from lateral boundary measurements. The…

math.NA2024

Determination and reconstruction of a semilinear term from point measurements

Yavar Kian, Hongyu Liu, Li-Li Wang +1

In this article we study the inverse problem of determining a semilinear term appearing in an elliptic equation from boundary measurements. Our main objective is to develop flexibl…

math.NA2022

Inverse Problems for Subdiffusion from Observation at an Unknown Terminal Time

Bangti Jin, Yavar Kian, Zhi Zhou

Inverse problems of recovering space-dependent parameters, e.g., initial condition, space-dependent source or potential coefficient, in a subdiffusion model from the terminal obser…

math.NA2022

Recovery of a Distributed Order Fractional Derivative in an Unknown Medium

Bangti Jin, Yavar Kian

In this work, we study an inverse problem of recovering information about the weight in distributed-order time-fractional diffusion from the observation at one single point on the…

math.NA2021★ 1 cited

Recovering Multiple Fractional Orders in Time-Fractional Diffusion in an Unknown Medium

Bangti Jin, Yavar Kian

In this work, we investigate an inverse problem of recovering multiple orders in a time-fractional diffusion model from the data observed at one single point on the boundary. We pr…

math.NA2021★ 1 cited

Reconstruction of a Space-Time Dependent Source in Subdiffusion Models via a Perturbation Approach

Bangti Jin, Yavar Kian, Zhi Zhou

In this article we study inverse problems of recovering a space-time dependent source component from the lateral boundary observation in a subidffusion model. The mathematical mode…