2024 : 12 : 19

Khosro Sayevand

Academic rank: Professor
ORCID:
Education: PhD.
ScopusId:
HIndex:
Faculty: Mathematical Sciences and Statistics
Address: Malayer University
Phone: 081-33398981

Research

Title
A novel computational framework to approximate analytical solution of nonlinear fractional elastic beam equation
Type
JournalPaper
Keywords
Caputo fractional derivative, Nonlinear elastic beam equation, Fourier transform, Laplace trans- form, homotopy perturbation method.
Year
2014
Journal Scientia Iranica
DOI
Researchers Khosro Sayevand

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.