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ISSN : 1026-3098
e-ISSN : 2345-3605
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Publication Information : Volume 23 - Number 1 - Successive Number 1
Type : Research Note
Topics of Paper : Transaction on Civil Engineering
English Title : Approximate analytical solution of the time-fractional Camassa-Holm, modified Camassa-Holm and Degasperis-Procesi equations by Homotopy perturbation method
English Abstract : In this paper, the approximate analytical solutions of Camassa-Holm, modified Camassa-Holm and Degasperis-Procesi equationswith fractional time derivative are obtained with the help of approximate analytical method of nonlinear problem called the Homotopy Perturbation Method (HPM). By using initial condition, the explicit solution of the equation has been derived which demonstrate the effectiveness, validity, potentiality and reliability of the method in reality. Comparing the methodology with exact solution shows that the present approach is very effective and powerful. The numerical calculations are carried out when the initial condition in the form of exponential and transcendental functions and the results are depicted through graphs.
English Keywords : Partial differential equation;Nonlinear fractional Camassa-Holmequation;Fractional Brownian motion;Homotopy perturbation method; IVPs
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Number Of Pages :
From 155 to 165


Authors :
The AuthorAuthor SequenceOrganizationOrganization ( english )AffiliationEmailEducation
Dr. Praveen Kumar Gupta
(Author)
1Department of Mathematics & Statistics, Banasthali University, Banasthali-304022, India Assistant Professor  
Dr. M. Singh 2Department of Mathematics, University of Petroleum & Energy Studies, Dehradun, India Assistant Professor  
Dr. A. Yildirim 3Department of Mathematics, Faculty of Science, Ege University, Bornova – 35100, Turkey Assistant Professor  
Published Issues
2017
Transactions on Civil Engineering
Transactions on Mechanical Engineering
Transactions on Industrial Engineering
2016
2015
Transactions on Civil Engineering
Transactions on Mechanical Engineering
Transactions on Chemistry and Chemical Engineering
Transactions on Computer Science & Engineering and Electrical Engineering
Transactions on Industrial Engineering
Transactions on Nanotechnology
2014
Transactions on Civil Engineering
Transactions on Mechanical Engineering
Transactions on Chemistry and Chemical Engineering
Transactions on Computer Science & Engineering and Electrical Engineering
Transactions on Industrial Engineering
Transactions on Nanotechnology
2013
Transactions on Civil Engineering
Transactions on Mechanical Engineering
Transactions on Chemistry and Chemical Engineering
Transactions on Computer Science & Engineering and Electrical Engineering
Transactions on Industrial Engineering
Transactions on Nanotechnology

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