Fractional Lienard type model of a pipeline within the fractional derivative without singular kernel
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Date
2016
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Springeropen
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Abstract
This paper presents the procedure to obtain analytical solutions of Li,nard type model of a fluid transmission line represented by the Caputo-Fabrizio fractional operator. For such a model, we derive a new approximated analytical solution by using the Laplace homotopy analysis method. Both the efficiency and the accuracy of the method are verified by comparing the obtained solutions with the exact analytical solution. Good agreement between them is confirmed.
Description
Gomez-Aguilar, J.F./0000-0001-9403-3767; Yepez-Martinez, Huitzilin/0000-0002-8532-5669; Torres, Lizeth/0000-0002-4937-4586
Keywords
Pipelines, Fluid Dynamics, Nonlinear Oscillators, Lienard Equation, Laplace Homotopy Analysis Method, Fractional Differential Coupled Equation
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Citation
Gomez-Aguilar, J. F...et al. (2016). Fractional Lienard type model of a pipeline within the fractional derivative without singular kernel. Advance in Difference Equations. http://dx.doi.org/10.1186/s13662-016-0908-1
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