Sharif University of Technology Scientia Iranica 1026-3098 23 2 2016 04 01 A novel computational framework to approximate analytical solution of nonlinear fractional elastic beam equation A novel computational framework to approximate analytical solution of nonlinear fractional elastic beam equation 648 657 3851 10.24200/sci.2016.3851 EN K. Sayevand Faculty of of Mathematical Sciences, University of Malayer, P. O. Box 16846-13114, Malayer, Iran K. Pichaghchi Faculty of of Mathematical Sciences, University of Malayer, P. O. Box 16846-13114, Malayer, Iran Journal Article 2015 05 05 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. https://scientiairanica.sharif.edu/article_3851_bb4b91c36f7002a710640f39c573fe57.pdf