Determination of Order in Linear Fractional Differential Equations

被引：0
|
作者：
Mirko D’Ovidio
Paola Loreti
Alireza Momenzadeh
Sima Sarv Ahrab
机构：
[1] Sapienza University of Rome,Department of Basic and Applied Sciences for Engineering (SBAI)
[2] Sapienza University of Rome,Department of Information Engineering, Electronics and Telecommunications (DIET)
来源：
Fractional Calculus and Applied Analysis | 2018年 / 21卷
关键词：
Primary 34A08; Secondary 26A33; 33E12; 34E05; fractional differential equations; Mittag-Leffler type functions; asymptotic analysis; order estimation;
D O I：
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中图分类号：
学科分类号：
摘要：
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.
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页码：937 / 948
页数：11
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