Work

Multiple Solutions of Nonlinear Boundary Value Problems of Fractional Order: A New Analytic Iterative Technique

Year: 2014

Type: article

Abstract: The purpose of this paper is to present a new kind of analytical method, the so-called residual power series, to predict and represent the multiplicity of solutions to nonlinear boundary value problems of fractional order. The present method is capable of calculating all branches of solutions simultaneously, even if these multiple solutions are very close and thus rather difficult to distinguish even by numerical techniques. To verify the computational efficiency of the designed proposed technique, two nonlinear models are performed, one of them arises in mixed convection flows and the other one arises in heat transfer, which both admit multiple solutions. The results reveal that the method is very effective, straightforward, and powerful for formulating these multiple solutions.

Source: Entropy

DOI: 10.3390/e16010471

Authors: Omar Arqub, Ahmad El-Ajou, Zeyad Al Zhour, Shaher Momani

Institutions: Al-Balqa Applied University, Imam Abdulrahman Bin Faisal University, University of Jordan, King Abdulaziz University

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,137

OpenAlex ID: W2139459534

FWCI: 6.512

Cites: 45

Cited by: 113

Related to: 10