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LHAM Approach to Fractional Order Rosenau-Hyman and Burgers' Equations

Year: 2020

Type: article

Abstract: Fractional calculus has been found to be a great asset in finding fractional dimension in chaos theory, in viscoelasticity diffusion, in random optimal search etc. Various techniques have been proposed to solve differential equations of fractional order. In this paper, the Laplace-Homotopy Analysis Method (LHAM) is applied to obtain approximate analytic solutions of the nonlinear Rosenau-Hyman Korteweg-de Vries (KdV), K(2, 2), and Burgers' equations of fractional order with initial conditions. The solutions of these equations are calculated in the form of convergent series. The solutions obtained converge to the exact solution when α = 1, showing the reliability of LHAM.

Source: Asian Research Journal of Mathematics

DOI: 10.9734/arjom/2020/v16i630192

Authors: S. O. Ajibola, A. S. Oke, W. N. Mutuku

Institutions: University of Benin, Adekunle Ajasin University, Kenyatta University

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W3028508771

FWCI: 0.144

Cites:

Cited by: 11

Related to: 10