%0 Journal Article
%T A novel computational framework to approximate analytical solution of nonlinear fractional elastic beam equation
%J Scientia Iranica
%I Sharif University of Technology
%Z 1026-3098
%A Sayevand, K.
%A Pichaghchi, K.
%D 2016
%\ 04/01/2016
%V 23
%N 2
%P 648-657
%! A novel computational framework to approximate analytical solution of nonlinear fractional elastic beam equation
%K Caputo fractional derivative
%K Nonlinear elastic beam equation
%K Fourier transform
%K Laplace trans- form
%K Homotopy perturbation method
%R 10.24200/sci.2016.3851
%X 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 andÂ 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.
%U https://scientiairanica.sharif.edu/article_3851_bb4b91c36f7002a710640f39c573fe57.pdf