Determination of Order in Linear Fractional Differential Equations

Determination of Order in Linear Fractional Differential Equations

The order of fractional differential equations (FDEs) has been proved to be of great importance in an accurate simulation of the system under study. In this paper, the orders of some classes of linear FDEs are determined by using the asymptotic behaviour of their solutions. Specifically, it is demon...

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Veröffentlicht in:Fractional calculus & applied analysis 2018-08, Vol.21 (4), p.937-948
Hauptverfasser: D’Ovidio, Mirko, Loreti, Paola, Momenzadeh, Alireza, Ahrab, Sima Sarv
Format: Artikel
Sprache:eng
Schlagworte:
33E12
34E05
Abstract Harmonic Analysis
Analysis
asymptotic analysis
Asymptotic properties
Decay rate
Differential equations
fractional differential equations
Functional Analysis
Integral Transforms
Mathematics
Mittag-Leffler type functions
Operational Calculus
order estimation
Primary 34A08
Research Paper
Secondary 26A33
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Beschreibung
Zusammenfassung:The order of fractional differential equations (FDEs) has been proved to be of great importance in an accurate simulation of the system under study. In this paper, the orders of some classes of linear FDEs are determined by using the asymptotic behaviour of their solutions. Specifically, it is demonstrated that the decay rate of the solutions is influenced by the order of fractional derivatives. Numerical investigations are conducted into the proven formulas.
ISSN:1311-0454
1314-2224
DOI:10.1515/fca-2018-0051