Linear stationary fractional differential equations

Valeriy Nosov; Jesús Alberto Meda-Campaña

doi:10.1515/fca-2019-0025

Linear stationary fractional differential equations

Valeriy Nosov, Jesús Alberto Meda-Campaña

Escuela Superior de Ingeniería Mecánica y Eléctrica (ESIME), Unidad Zacatenco

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, fractional-order derivatives satisfying conventional concepts, are considered in order to present some stability results on linear stationary differential equations of fractional-order. As expected, the obtained results are very close to the ones widely accepted in differential equations of integer order. Some examples are included in order to show how some restrictions of more sophisticated fractional-order derivatives are overcome.

Original language	English
Pages (from-to)	412-423
Number of pages	12
Journal	Fractional Calculus and Applied Analysis
Volume	22
Issue number	2
DOIs	https://doi.org/10.1515/fca-2019-0025
State	Published - 24 Apr 2019

Keywords

34A12
34K20
93D05
Primary 26A33
Secondary 34A08

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10.1515/fca-2019-0025

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abstract = "In this paper, fractional-order derivatives satisfying conventional concepts, are considered in order to present some stability results on linear stationary differential equations of fractional-order. As expected, the obtained results are very close to the ones widely accepted in differential equations of integer order. Some examples are included in order to show how some restrictions of more sophisticated fractional-order derivatives are overcome.",

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AB - In this paper, fractional-order derivatives satisfying conventional concepts, are considered in order to present some stability results on linear stationary differential equations of fractional-order. As expected, the obtained results are very close to the ones widely accepted in differential equations of integer order. Some examples are included in order to show how some restrictions of more sophisticated fractional-order derivatives are overcome.

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KW - 93D05

KW - Primary 26A33

KW - Secondary 34A08

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M3 - Artículo

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ER -

Linear stationary fractional differential equations

Abstract

Keywords

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