Abstract
We are concerned with the inverse problem of reconstructing a fractional evolution equation with a source. To this end we use observations of the solution on the boundary to reconstruct the principal part of the operator and the fractional order of the time derivative, while an overdetermination at a time T is used to recover the source by a non iterative method. Numerical examples explain how to compute the fractional order and the source using finite data.
| Original language | English |
|---|---|
| Pages (from-to) | 2521-2543 |
| Number of pages | 23 |
| Journal | Fractional Calculus and Applied Analysis |
| Volume | 27 |
| Issue number | 5 |
| DOIs | |
| State | Published - Oct 2024 |
Bibliographical note
Publisher Copyright:© Diogenes Co.Ltd 2024.
Keywords
- 35R11
- 65M32
- Boundary measurement
- Fractional evolution equation (primary)
- Inverse problems
- Primary: 35R30
ASJC Scopus subject areas
- Analysis
- Applied Mathematics
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