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2019 | OriginalPaper | Chapter

Exact Solutions for the Liénard Type Model via Fractional Homotopy Methods

Authors : V. F. Morales-Delgado, J. F. Gómez-Aguilar, L. Torres, R. F. Escobar-Jiménez, M. A. Taneco-Hernandez

Published in: Fractional Derivatives with Mittag-Leffler Kernel

Publisher: Springer International Publishing

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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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previous chapter New Direction of Atangana–Baleanu Fractional Derivative with Mittag-Leffler Kernel for Non-Newtonian Channel Flow

next chapter Model of Coupled System of Fractional Reaction-Diffusion Within a New Fractional Derivative Without Singular Kernel

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Title: Exact Solutions for the Liénard Type Model via Fractional Homotopy Methods
Authors: V. F. Morales-Delgado
J. F. Gómez-Aguilar
L. Torres
R. F. Escobar-Jiménez
M. A. Taneco-Hernandez
Publisher: Springer International Publishing
Book: Fractional Derivatives with Mittag-Leffler Kernel
Print ISBN: 978-3-030-11661-3

Electronic ISBN: 978-3-030-11662-0

Copyright Year: 2019
DOI: https://doi.org/10.1007/978-3-030-11662-0_16

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