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Representations of solutions of systems of time-fractional pseudo-differential equations.
- Source :
-
Fractional Calculus & Applied Analysis . Apr2024, Vol. 27 Issue 2, p616-651. 36p. - Publication Year :
- 2024
-
Abstract
- Systems of fractional order differential and pseudo-differential equations are used in modeling of various dynamical processes. In the analysis of such models, including stability analysis, asymptotic behaviors, etc., it is useful to have a representation formulas for the solution. In this paper we prove the existence and uniqueness theorems and derive representation formulas for the solution of general systems of fractional multi-order linear pseudo-differential equations through the matrix-valued Mittag-Leffler function. Examples illustrating the obtained results are also provided. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 13110454
- Volume :
- 27
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Fractional Calculus & Applied Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 176120576
- Full Text :
- https://doi.org/10.1007/s13540-024-00241-z