Abstract
In this chapter, we present the solution for a Liénard type model of a pipeline expressed by Liouville–Caputo and Atangana-Baleanu-Caputo fractional order derivatives. For this model, new approximated analytical solutions are derived by using the Laplace homotopy perturbation method and the modified homotopy analysis transform method. Both the efficiency and the accuracy of the method are verified by comparing the obtained solutions versus the exact analytical solution.
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CITATION STYLE
Morales-Delgado, V. F., Gómez-Aguilar, J. F., Torres, L., Escobar-Jiménez, R. F., & Taneco-Hernandez, M. A. (2019). Exact solutions for the Liénard type model via fractional homotopy methods. In Studies in Systems, Decision and Control (Vol. 194, pp. 269–291). Springer International Publishing. https://doi.org/10.1007/978-3-030-11662-0_16
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