Abstract
Stable approximate inversion methods are developed for one-dimensional Reimann-Liouville fractional integrals. A locally controllable regularization scheme is introduced. The results are extended to fractional integrals of Borel measures, for which explicit and approximate stable inverses are constructed. The inverting constructions have the form of truncated hypersingular integrals of Marchaud type.
| Original language | English |
|---|---|
| Article number | 008 |
| Pages (from-to) | 881-893 |
| Number of pages | 13 |
| Journal | Inverse Problems |
| Volume | 10 |
| Issue number | 4 |
| DOIs | |
| State | Published - 1994 |
| Externally published | Yes |
ASJC Scopus subject areas
- Theoretical Computer Science
- Signal Processing
- Mathematical Physics
- Computer Science Applications
- Applied Mathematics
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