New exact traveling wave solutions of space-time fractional nonlinear electrical transmission lines equation: arising in electrical engineering

Issue title: Mathematical Modelling in Computational and Life Sciences

Guest editors: Ahmed Farouk

Article type: Research Article

Authors: Owyed, Saud^{; *}

Affiliations: Department of Mathematics, College of Sciences, University of Bisha, Bisha, Saudi Arabia

Correspondence: [*] Corresponding author. Saud Owyed, Department of Mathematics, College of Sciences, University of Bisha, Bisha, Saudi Arabia. E-mail: saalgamdi@ub.edu.sa.

Abstract:  In the published paper (Results in Physics, 9, (2018) 1497-1501), the authors introduced new traveling wave solutions for space-time nonlinear fractional differential equations (S-TNFDE) using, exp (- ϕ (ξ))-expansion function and generalized Kudryashov methods. Here we present new solutions of the same equation considering another two modified methods, namely auxiliary equation method (AEM) and extended direct algebraic method (EDAM). To be able to solve the model of equations, fractional complex transform and the conformable fractional derivatives are used to convert fractional differential equation, into ordinary differential equations. The validity and reliability of the proposed methods are tested, and from the obtained results we generated new group of solutions of (S-TNFDE).

Keywords: Auxiliary equation method, extended direct algebraic method, fractional complex transform, exact traveling wave solutions

DOI: 10.3233/JIFS-179557

Journal: Journal of Intelligent & Fuzzy Systems, vol. 38, no. 3, pp. 2717-2723, 2020