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Engineering with Computers
Erschienen in: Engineering with Computers 4/2019

11.12.2018 | Original Article

Solving fractional pantograph delay differential equations via fractional-order Boubaker polynomials

verfasst von: Kobra Rabiei, Yadollah Ordokhani

Erschienen in: Engineering with Computers | Ausgabe 4/2019

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Abstract

In the current study, we introduce fractional-order Boubaker polynomials related to the Boubaker polynomials to achieve the numerical result for pantograph differential equations of fractional order in any arbitrary interval. The features of these polynomials are exploited to construct the new fractional integration and pantograph operational matrices. Then these matrices and least square approximation method are used to reorganize the problem to a nonlinear equations system which can be resolved by means of the Newton’s iterative method. The brief discussion about errors of the used estimations is deliberated and, finally, some examples are included to demonstrate the validity and applicability of our method.
Vorheriger Artikel Prediction of rock interlocking by developing two hybrid models based on GA and fuzzy system
Nächster Artikel Hypotrochoid spiral optimization approach for sizing and layout optimization of truss structures with multiple frequency constraints

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Metadaten
Titel
Solving fractional pantograph delay differential equations via fractional-order Boubaker polynomials
verfasst von
Kobra Rabiei
Yadollah Ordokhani
Publikationsdatum
11.12.2018
Verlag
Springer London
Erschienen in
Engineering with Computers / Ausgabe 4/2019
Print ISSN: 0177-0667
Elektronische ISSN: 1435-5663
DOI
https://doi.org/10.1007/s00366-018-0673-8

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