An Algorithm for Solving the Fractional Version of Bratu-like Equation Arising in Electrospinning Process

Posted: 7 Nov 2018

See all articles by Vedat Suat Erturk

Vedat Suat Erturk

Ondokuz Mayis University

Shaher Momani

University of Jordan

Date Written: July 2018

Abstract

In this work, an algorithm based on Adomian decomposition method is proposed to approximate the solution of the fractional counterpart of Bratu-like equation that appears in electrospinning process. The fractional derivative is defined in the sense of Caputo. The efficiency and applicability of the present method are demonstrated by solving the equation for certain selected values of the parameters that appear in the model. In addition, residual error computation is adopted to verify the validity of the results.

Keywords: Adomian decomposition method, Caputo fractional derivative, electrospinning process, boundary value problem, approximate solution.

Suggested Citation

Suat Erturk, Vedat and Momani, Shaher, An Algorithm for Solving the Fractional Version of Bratu-like Equation Arising in Electrospinning Process (July 2018). Proceedings of International Conference on Fractional Differentiation and its Applications (ICFDA) 2018. Available at SSRN: https://ssrn.com/abstract=3280191

Vedat Suat Erturk (Contact Author)

Ondokuz Mayis University ( email )

19 Mayıs Üniversitesi
Kurupelit, Samsun 55139
Turkey

Shaher Momani

University of Jordan ( email )

Jordan
Amman, Amman 11942
Jordan

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