Fractional calculus - A new approach to the analysis of generalized fourth-order diffusion-wave equations

Authors:
A. Golbabai;K. Sayevand
Affiliations:
-;-
Venue:
Computers & Mathematics with Applications
Year:
2011

Citing 2
Cited 1

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Applied Mathematics and Computation
Homotopy perturbation method: a new nonlinear analytical technique

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Crank-Nicolson/quasi-wavelets method for solving fourth order partial integro-differential equation with a weakly singular kernel

Journal of Computational Physics

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Abstract

The homotopy perturbation method is applied to the generalized fourth-order fractional diffusion-wave equations. The problem is formulated in the Caputo sense. Moreover, a reliable scheme for calculating nonlinear operators is proposed. The results reveal that the present method is very effective and convenient.