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.| File | Dimensione | Formato | |
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DOvidio_Determination_2018.pdf
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Note: Link on the publisher's site: https://www.degruyter.com/view/j/fca.2018.21.issue-4/fca-2018-0051/fca-2018-0051.xml?format=INT
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DOvidio_Determination_2018.pdf
Open Access dal 30/10/2019
Note: Link to the article on the publisher's site: https://www.degruyter.com/view/j/fca.2018.21.issue-4/fca-2018-0051/fca-2018-0051.xml?format=INT
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330.48 kB | Adobe PDF |
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