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On Time-Fractional Diffusion Equations with Space-Dependent Variable Order.
- Source :
-
Annales Henri Poincaré . Dec2018, Vol. 19 Issue 12, p3855-3881. 27p. - Publication Year :
- 2018
-
Abstract
- This paper deals with mathematical problems related to space-dependent anomalous diffusion processes. Namely, we investigate diffusion equations with time-fractional derivatives of space-dependent variable order. We establish that variable-order time-fractional Cauchy problems admit a unique weak solution and prove that the space-dependent variable-order coefficient is uniquely determined by the knowledge of a suitable time sequence of partial initial-boundary maps. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 14240637
- Volume :
- 19
- Issue :
- 12
- Database :
- Academic Search Index
- Journal :
- Annales Henri Poincaré
- Publication Type :
- Academic Journal
- Accession number :
- 133056014
- Full Text :
- https://doi.org/10.1007/s00023-018-0734-y