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This is a Quantitative Study study.

October 2, 2025Open Access

Identification problems for anisotropic time-fractional subdiffusion equations

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Authors

SCSimone CreoSapienza University of Rome MLMaria Rosaria LanciaSapienza University of Rome AMAndrea MolaIMT School for Advanced Studies Lucca

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Implication

We investigate coefficient identification in fractional-in-time equations using self-adjoint operators, suggesting unique solutions exist under certain conditions.

Key Points

The study demonstrates the uniqueness of solutions for fractional order derivatives in the range of (0,1).
Numerical calculations complement existence results, showing how solutions approach classical ones as α nears 1.
Implications for heat diffusion and elasticity highlight the importance of these equations in practical applications.
Energy-type overdetermining conditions provide a robust framework for identifying coefficients effectively.

Cite This Study

Creo et al. (2025) studied this question.

synapsesocial.com/papers/68de6f4283cbc991d0a22f57 https://doi.org/10.48550/arxiv.2507.10315

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Implication

We investigate coefficient identification in fractional-in-time equations using self-adjoint operators, suggesting unique solutions exist under certain conditions.

Identification problems for anisotropic time-fractional subdiffusion equations

Discussion

Member takes

Implication

Key Points

Cite This Study

Identification problems for anisotropic time-fractional subdiffusion equations

Discussion

Member takes

Implication

Key Points

Cite This Study

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