Simulations of fractional time-derivative against proportional time-delay for solving and investigating the generalized perturbed-KdV equation
Abstract: In this study, the Caputo-type fractional time-derivative is simulated by inserting a proportional time-delay into the field function of the perturbed-KdV equation. Two effective methods have been adapted to obtain analytical solutions for this model. Then, independently, the effect of the fractional derivative and the proportional delay on the topological shape of the pKdV propagation was extrapolated. The significant conclusions of the current article reveal that the fractional derivative plays the same role as the presence of a proportional delay in the time coordinate if it is assigned as a substitute for it. With this, from a practical mathematical point of view, we have provided one of the geometric explanations of the fractional derivative. Finally, via the obtained approximate solution, we studied the impact of the perturbed coefficient on propagating the waves of the proposed KdV model.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Bibliographic citation
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Simulations of fractional time-derivative against proportional time-delay for solving and investigating the generalized perturbed-KdV equation ; volume:12 ; number:1 ; year:2023 ; extent:7
Nonlinear engineering ; 12, Heft 1 (2023) (gesamt 7)
- Creator
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Alquran, Marwan
Ali, Mohammed
Al-Khaled, Kamel
Grossman, George
- DOI
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10.1515/nleng-2022-0282
- URN
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urn:nbn:de:101:1-2023050914070320408928
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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14.08.2025, 10:57 AM CEST
Data provider
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.
Associated
- Alquran, Marwan
- Ali, Mohammed
- Al-Khaled, Kamel
- Grossman, George
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