On the solution of (n+1)-dimensional fractional M-Burgers equation

In the paper, (n+1) -dimensional fractional M-Burgers equation with a force term in the sense of the Caputo fractional derivative is considered. We solve this equation using homotopy perturbation method (HPM) and find its approximate analytical solution. We illustrate the method with some concrete e...

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Main Authors: Kilicman, Adem, Shokhanda, Rachana, Goswami, Pranay
Format: Article
Published: Elsevier B.V. 2021
Online Access:http://psasir.upm.edu.my/id/eprint/94434/
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author Kilicman, Adem
Shokhanda, Rachana
Goswami, Pranay
author_facet Kilicman, Adem
Shokhanda, Rachana
Goswami, Pranay
author_sort Kilicman, Adem
building UPM Institutional Repository
collection Online Access
description In the paper, (n+1) -dimensional fractional M-Burgers equation with a force term in the sense of the Caputo fractional derivative is considered. We solve this equation using homotopy perturbation method (HPM) and find its approximate analytical solution. We illustrate the method with some concrete examples. We also provide the graphical representation of the solutions. This paper extends some known results obtained by Sripacharasakullert et al. (2019).
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institution Universiti Putra Malaysia
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spelling upm-944342023-03-29T08:26:02Z http://psasir.upm.edu.my/id/eprint/94434/ On the solution of (n+1)-dimensional fractional M-Burgers equation Kilicman, Adem Shokhanda, Rachana Goswami, Pranay In the paper, (n+1) -dimensional fractional M-Burgers equation with a force term in the sense of the Caputo fractional derivative is considered. We solve this equation using homotopy perturbation method (HPM) and find its approximate analytical solution. We illustrate the method with some concrete examples. We also provide the graphical representation of the solutions. This paper extends some known results obtained by Sripacharasakullert et al. (2019). Elsevier B.V. 2021-02 Article PeerReviewed Kilicman, Adem and Shokhanda, Rachana and Goswami, Pranay (2021) On the solution of (n+1)-dimensional fractional M-Burgers equation. Alexandria Engineering Journal, 60 (1). 1165 - 1172. ISSN 1110-0168 https://www.sciencedirect.com/science/article/pii/S1110016820305597?via%3Dihub 10.1016/j.aej.2020.10.040
spellingShingle Kilicman, Adem
Shokhanda, Rachana
Goswami, Pranay
On the solution of (n+1)-dimensional fractional M-Burgers equation
title On the solution of (n+1)-dimensional fractional M-Burgers equation
title_full On the solution of (n+1)-dimensional fractional M-Burgers equation
title_fullStr On the solution of (n+1)-dimensional fractional M-Burgers equation
title_full_unstemmed On the solution of (n+1)-dimensional fractional M-Burgers equation
title_short On the solution of (n+1)-dimensional fractional M-Burgers equation
title_sort on the solution of (n+1)-dimensional fractional m-burgers equation
url http://psasir.upm.edu.my/id/eprint/94434/
http://psasir.upm.edu.my/id/eprint/94434/
http://psasir.upm.edu.my/id/eprint/94434/