Initial-boundary-value problems for the generalized multi-term time-fractional diffusion equation
- Author
- LUCHKO, Yury1
[1] Department of Mathematics II, Technical University of Applied Sciences Berlin, Berlin, Germany - Source
Journal of mathematical analysis and applications. 2011, Vol 374, Num 2, pp 538-548, 11 p ; ref : 41 ref
- CODEN
- JMANAK
- ISSN
- 0022-247X
- Scientific domain
- Control theory, operational research; Mathematics
- Publisher
- Elsevier, Amsterdam
- Publication country
- Netherlands
- Document type
- Article
- Language
- English
- Author keyword
- Caputo fractional derivative Initial-boundary-value problems Maximum principle Multi-term time-fractional diffusion Multinomial Mittag-Leffler function Spectral method Uniqueness theorem Well-posed problems equation
- Keyword (fr)
- Analyse Fourier Analyse mathématique Condition aux limites Condition initiale Equation diffusion Existence solution Méthode spectrale Principe maximum Problème bien posé Problème valeur initiale Problème valeur limite Théorème unicité Unicité solution 26A33 33E12 35B50 35E15 65M99 65Mxx 65N99 65Nxx Domaine borné
- Keyword (en)
- Fourier analysis Mathematical analysis Boundary condition Initial condition Diffusion equation Existence of solution Spectral method Maximum principle Well posed problem Initial value problem Boundary value problem Uniqueness theorem Solution uniqueness
- Keyword (es)
- Análisis Fourier Análisis matemático Condiciones límites Condición inicial Ecuación difusión Existencia de solución Método espectral Principio máximo Problema bien planteado Problema valor inicial Problema valor limite Teorema unicidad Unicidad solución
- Classification
- Pascal
- 001 Exact sciences and technology / 001A Sciences and techniques of general use / 001A02 Mathematics / 001A02E Mathematical analysis / 001A02E06 Special functions
- Pascal
- 001 Exact sciences and technology / 001A Sciences and techniques of general use / 001A02 Mathematics / 001A02E Mathematical analysis / 001A02E08 Partial differential equations
- Pascal
- 001 Exact sciences and technology / 001A Sciences and techniques of general use / 001A02 Mathematics / 001A02I Numerical analysis. Scientific computation / 001A02I01 Numerical analysis / 001A02I01J Partial differential equations, initial value problems and time-dependant initial-boundary value problems
- Pascal
- 001 Exact sciences and technology / 001A Sciences and techniques of general use / 001A02 Mathematics / 001A02I Numerical analysis. Scientific computation / 001A02I01 Numerical analysis / 001A02I01K Partial differential equations, boundary value problems
- Discipline
- Mathematics
- Origin
- Inist-CNRS
- Database
- PASCAL
- INIST identifier
- 23932070
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
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DOI
10.1016/j.jmaa.2010.08.048 
https://dx.doi.org/10.1016/j.jmaa.2010.08.048
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