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Inverse Problem to Determine Two Time-Dependent Source Factors of Fractional Diffusion-Wave Equations from Final Data and Simultaneous Reconstruction of Location and Time History of a Point Source.
- Source :
-
Mathematics (2227-7390) . Jan2023, Vol. 11 Issue 2, p456. 17p. - Publication Year :
- 2023
-
Abstract
- In this paper, two inverse problems for the fractional diffusion-wave equation that use final data are considered. The first problem consists in the determination of two time-dependent source terms. Uniqueness for this inverse problem is established under an assumption that given space-dependent factors of these terms are "sufficiently different". The proof uses asymptotical properties of Mittag–Leffler functions. In the second problem, the aim is to reconstruct a location and time history of a point source. The uniqueness for this problem is deduced from the uniqueness theorem for the previous problem in the one-dimensional case. [ABSTRACT FROM AUTHOR]
- Subjects :
- *HISTORICAL source material
*EQUATIONS
*INVERSE problems
Subjects
Details
- Language :
- English
- ISSN :
- 22277390
- Volume :
- 11
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Mathematics (2227-7390)
- Publication Type :
- Academic Journal
- Accession number :
- 161478318
- Full Text :
- https://doi.org/10.3390/math11020456