A novel computational framework to approximate analytical solution of nonlinear fractional elastic beam equation


Faculty of of Mathematical Sciences, University of Malayer, P. O. Box 16846-13114, Malayer, Iran


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.