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Erschienen in:
Reproducing Kernel Method for Fractional Derivative with Non-local and Non-singular Kernel Kapitel lesen Erstes Kapitel lesen

2019 | OriginalPaper | Buchkapitel

Exact Solutions for the Liénard Type Model via Fractional Homotopy Methods

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

Erschienen in: Fractional Derivatives with Mittag-Leffler Kernel

Verlag: 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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Vorheriges Kapitel New Direction of Atangana–Baleanu Fractional Derivative with Mittag-Leffler Kernel for Non-Newtonian Channel Flow
Nächstes Kapitel Model of Coupled System of Fractional Reaction-Diffusion Within a New Fractional Derivative Without Singular Kernel
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Metadaten
Titel
Exact Solutions for the Liénard Type Model via Fractional Homotopy Methods
verfasst von
V. F. Morales-Delgado
J. F. Gómez-Aguilar
L. Torres
R. F. Escobar-Jiménez
M. A. Taneco-Hernandez
Copyright-Jahr
2019
Buch
Fractional Derivatives with Mittag-Leffler Kernel

Print ISBN: 978-3-030-11661-3

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

Copyright-Jahr: 2019

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

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