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20092025
most citedThe Galerkin Finite Element Method for A Multi-term Time-Fractional Diffusion equation

293 citations · 1.8k across the 110 of their papers we have counts for

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math.AP2024

Point Source Identification in Subdiffusion from A Posteriori Internal Measurement

Kuang Huang, Bangti Jin, Yavar Kian +2

In this work we investigate an inverse problem of recovering point sources and their time-dependent strengths from {a posteriori} partial internal measurements in a subdiffusion mo…

math.AP2024

On an Inverse Problem of the Generalized Bathtub Model of Network Trip Flows

Kuang Huang, Bangti Jin, Zhi Zhou

In this work, we investigate the generalized bathtub model, a nonlocal transport equation for describing network trip flows served by privately operated vehicles inside a road netw…

math.AP2024

Identification of a Spatially-Dependent Variable Order in One-Dimensional Subdiffusion

Jiho Hong, Bangti Jin, Yavar Kian

In this work we investigate an inverse problem of identifying a spatially variable order in the one-dimensional subdiffusion model from the boundary flux measurement. The model inv…

math.AP2024

Inverse Coefficient Problem for One-Dimensional Subdiffusion with Data on Disjoint Sets in Time

Siyu Cen, Bangti Jin, Yavar Kian +3

In this work we investigate an inverse coefficient problem for the one-dimensional subdiffusion model, which involves a Caputo fractional derivative in time. The inverse problem is…

math.AP2021★ 20 cited

Recovering the Potential and Order in One-Dimensional Time-Fractional Diffusion with Unknown Initial Condition and Source

Bangti Jin, Zhi Zhou

This paper is concerned with an inverse problem of recovering a potential term and fractional order in a one-dimensional subdiffusion problem, which involves a Djrbashian-Caputo fr…

math.AP2021★ 2 cited

Recovery of the Order of Derivation for Fractional Diffusion Equations in an Unknown Medium

Bangti Jin, Yavar Kian

In this work, we investigate the recovery of a parameter in a diffusion process given by the order of derivation in time for a class of diffusion type equations, including both cla…