Coefficient inverse problem for a fractional diffusion equation

By Luc Miller, Masahiro Yamamoto. 2013

129 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Mathematical Physics, Modeling and Simulation

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. G. Em Karniadakis
2. Lu Lu
3. Guofei Pang
4. Paris Perdikaris
5. Dongbin Xiu
6. Maizar Raissi
7. Habib N. Najm
8. Youssef M. Marzouk

In Mathematical Physics

1. G. Em Karniadakis
2. Lu Lu
3. Guofei Pang

In Modeling and Simulation

1. G. Em Karniadakis
2. Lu Lu
3. Guofei Pang
4. Zhiping Mao
5. Xuhui Meng

Citations in the corpus

• fPINNs: Fractional Physics-Informed Neural Networks (2018, background): “For inverse problems, little is known about 3D space-time-fractional ADEs with a fractional Laplacian, despite some existing works on 1D and 2D problems [27, 38, 13].”
• A tutorial on inverse problems for anomalous diffusion processes (2015, unknown): “In [73], the unique determination of the spatial coefficient and/or the fractional order from the data on a subdomain was shown for a positive initial condition.”