Homotopy Perturbation Method to Obtain Positive Solutions of Nonlinear Boundary Value Problems of Fractional Order-Reference-Cited by-同舟云学术

Homotopy Perturbation Method to Obtain Positive Solutions of Nonlinear Boundary Value Problems of Fractional Order

Published:2014 Issue: Volume:2014 Page:1-5
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Jafari Hossein¹^ORCID,Bagherian Khadijeh²,Moshokoa Seithuti P.¹³

Affiliation:

1. Department of Mathematical Sciences, University of South Africa, Pretoria 0003, South Africa

2. Department of Mathematics, University of Mazandaran, Babolsar 47416-95447, Iran

3. Department of Mathematics and Statistics, Faculty of Science, Tshwane University of Technology, Arcadia Campus, Building 2-117, Nelson Mandela Drive, Pretoria 0001, South Africa

Abstract

We use the homotopy perturbation method for solving the fractional nonlinear two-point boundary value problem. The obtained results by the homotopy perturbation method are then compared with the Adomian decomposition method. We solve the fractional Bratu-type problem as an illustrative example.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2014/919052.pdf

Reference17 articles.

1. Numerical Inversion of the Abel Integral Equation using Homotopy Perturbation Method

2. Adomian decomposition method for a reliable treatment of the Bratu-type equations

3. A reliable algorithm for obtaining positive solutions for nonlinear boundary value problems

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