Extension of a Method for Solving Nonlinear Evolution Equations Via Conformable Fractional Approach
Zoubir Dahmani, Ahmed Anber, Yazid Gouari, Mohamed Kaid, Iqbal H. Jebril
Abstract
In this paper we present a method for solving nonlinear evolution equations of fractional conformable derivatives in the sense of R. Khalil. The proposed method is based on some suitable transformations combined to the extended Tanh methods presented by A. Wazwaz in "Applied Mathematics and Computations, 2004", by E. Aksoy et al, for Jumarie derivatives, in "AIP Conference Proceedings, 2016", then by Pandir and Yildirim, with modified Riemann-Louville derivatives, in "Waves in Random and Complex Media, 2017". Some applications on Klein-Gordon equation with other examples are also discussed.
Topics & Concepts
Conformable matrixNonlinear systemExtension (predicate logic)ComputationApplied mathematicsMathematicsComputer scienceAlgebra over a fieldAlgorithmPure mathematicsPhysicsQuantum mechanicsProgramming languageNonlinear Waves and SolitonsFractional Differential Equations SolutionsDifferential Equations and Numerical Methods