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Application of Laplace–Adomian Decomposition Method for the Analytical Solution of Third-Order Dispersive Fractional Partial Differential Equations
In the present article, we related the analytical solution of the fractional-order dispersive partial differential equations, using the Laplace–Adomian decomposition method. The Caputo operator is used to define the derivative of fractional-order. Laplace–Adomian decomposition method solutions for b...
Autores principales: | , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
MDPI
2019
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7514819/ https://www.ncbi.nlm.nih.gov/pubmed/33267049 http://dx.doi.org/10.3390/e21040335 |
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author | Shah, Rasool Khan, Hassan Arif, Muhammad Kumam, Poom |
author_facet | Shah, Rasool Khan, Hassan Arif, Muhammad Kumam, Poom |
author_sort | Shah, Rasool |
collection | PubMed |
description | In the present article, we related the analytical solution of the fractional-order dispersive partial differential equations, using the Laplace–Adomian decomposition method. The Caputo operator is used to define the derivative of fractional-order. Laplace–Adomian decomposition method solutions for both fractional and integer orders are obtained in series form, showing higher convergence of the proposed method. Illustrative examples are considered to confirm the validity of the present method. The fractional order solutions that are convergent to integer order solutions are also investigated. |
format | Online Article Text |
id | pubmed-7514819 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2019 |
publisher | MDPI |
record_format | MEDLINE/PubMed |
spelling | pubmed-75148192020-11-09 Application of Laplace–Adomian Decomposition Method for the Analytical Solution of Third-Order Dispersive Fractional Partial Differential Equations Shah, Rasool Khan, Hassan Arif, Muhammad Kumam, Poom Entropy (Basel) Article In the present article, we related the analytical solution of the fractional-order dispersive partial differential equations, using the Laplace–Adomian decomposition method. The Caputo operator is used to define the derivative of fractional-order. Laplace–Adomian decomposition method solutions for both fractional and integer orders are obtained in series form, showing higher convergence of the proposed method. Illustrative examples are considered to confirm the validity of the present method. The fractional order solutions that are convergent to integer order solutions are also investigated. MDPI 2019-03-28 /pmc/articles/PMC7514819/ /pubmed/33267049 http://dx.doi.org/10.3390/e21040335 Text en © 2019 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/). |
spellingShingle | Article Shah, Rasool Khan, Hassan Arif, Muhammad Kumam, Poom Application of Laplace–Adomian Decomposition Method for the Analytical Solution of Third-Order Dispersive Fractional Partial Differential Equations |
title | Application of Laplace–Adomian Decomposition Method for the Analytical Solution of Third-Order Dispersive Fractional Partial Differential Equations |
title_full | Application of Laplace–Adomian Decomposition Method for the Analytical Solution of Third-Order Dispersive Fractional Partial Differential Equations |
title_fullStr | Application of Laplace–Adomian Decomposition Method for the Analytical Solution of Third-Order Dispersive Fractional Partial Differential Equations |
title_full_unstemmed | Application of Laplace–Adomian Decomposition Method for the Analytical Solution of Third-Order Dispersive Fractional Partial Differential Equations |
title_short | Application of Laplace–Adomian Decomposition Method for the Analytical Solution of Third-Order Dispersive Fractional Partial Differential Equations |
title_sort | application of laplace–adomian decomposition method for the analytical solution of third-order dispersive fractional partial differential equations |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7514819/ https://www.ncbi.nlm.nih.gov/pubmed/33267049 http://dx.doi.org/10.3390/e21040335 |
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