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ISSN : 1026-3098
e-ISSN : 2345-3605
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Publication Information : Volume 23 - Number 2 - Successive Number 2
Type : Article
Topics of Paper : Transaction on Mechanical Engineering
English Title : A novel computational framework to approximate analytical solution of nonlinear fractional elastic beam equation
English Abstract : In this paper, the generalized travelling solutions of the nonlinear fractional beam equation is investigated by means of homotopy perturbation method. The fractional derivative is described in the Caputo sense. The reliability and potentiality of the proposed approach which is based on joint Fourier-Laplace transforms and  homotopy perturbation method will be discussed. The solutions can be approximated via an analytical series solution. Moreover, convergence and stability of the proposed approach for this equation is investigated. The results reveal that the proposed scheme is very effective and promising.
English Keywords : Caputo fractional derivative, Nonlinear elastic beam equation, Fourier transform, Laplace trans- form, homotopy perturbation method.
Refrences :
Number Of Pages :
From 648 to 657


Authors :
The AuthorAuthor SequenceOrganizationOrganization ( english )AffiliationEmailEducation
Dr. K. Sayevand
(Author)
1Faculty of of Mathematical Sciences, University of Malayer, P. O. Box 16846-13114, Malayer, Iran Assistant Professorksayehvand@malayeru.ac.ir 
K. Pichaghchi 2Faculty of of Mathematical Sciences, University of Malayer, P. O. Box 16846-13114, Malayer, Iran    
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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