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.

Determination of order in linear fractional differential equations / D'Ovidio, Mirko; Loreti, Paola; Momenzadeh, Alireza; SARV AHRABI, Sima. - In: FRACTIONAL CALCULUS & APPLIED ANALYSIS. - ISSN 1314-2224. - 21:4(2018), pp. 937-948. [10.1515/fca-2018-0051]

Determination of order in linear fractional differential equations

Mirko D'Ovidio;Paola Loreti;Alireza Momenzadeh;Sima Sarv Ahrabi
2018

Abstract

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.
Fractional differential equations; Mittag-Leffler type functions; asymptotic analysis; order estimation
01 Pubblicazione su rivista::01a Articolo in rivista
Determination of order in linear fractional differential equations / D'Ovidio, Mirko; Loreti, Paola; Momenzadeh, Alireza; SARV AHRABI, Sima. - In: FRACTIONAL CALCULUS & APPLIED ANALYSIS. - ISSN 1314-2224. - 21:4(2018), pp. 937-948. [10.1515/fca-2018-0051]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1187588
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