On Analytical Approximate Solution of the Fractional Type Rosenau-Hyman Equation

Issue title: Theory and Applications of Fractional Fourier Transform and its Variants

Guest editors: Yudong Zhang, Xiao-Jun Yang, Carlo Cattani, Zhengchao Dong, Ti-Fei Yuan and Liang-Xiu Han

Article type: Research Article

Authors: Babaei, Afshin^*

Affiliations: Department of Mathematics, University of Mazandaran, Babolsar, Iran. babaei@umz.ac.ir

Correspondence: [*] Address for correspondence: Department of Mathematics, University of Mazandaran, P.O. Box: 47416 95447, Babolsar, Iran.

Abstract: In this paper, an approximate solution of the fractional type Rosenau-Hyman equation according to an appropriate initial condition will be obtained with the help of the reduced differential transform method (RDTM). The fractional derivatives are described in the Caputo sense. Comparing the methodology with the homotopy perturbation method and the variational iteration method will be presented. The results show that solutions obtained by the RDTM are reliable and this method is effective for this type of nonlinear fractional partial differential equations.

Keywords: Fractional type Rosenau-Hyman equation, Fractional calculus, Reduced differential transform method

DOI: 10.3233/FI-2017-1483

Journal: Fundamenta Informaticae, vol. 151, no. 1-4, pp. 135-143, 2017