Exact solutions of the conformable fractional EW and MEW equations by a new generalized expansion method
Muhannad A. Shallal, Khalid K. Ali, K. R. Raslan, Hadi Rezazadeh, Ahmet Bekir
Abstract
In this paper, we used the generalized (G'/G)-expansion method to construct exact solutions for conformable fractional nonlinear partial differential equations. This method is applied to obtain exact solutions for conformable fractional equal width wave equation (EW equation) and conformable fractional modified equal width wave equation (MEW equation). Based on the proposed method, several new exact solutions have been obtained. The proposed method is powerful and easily applicable for solving different types of conformable fractional partial differential equations.
Topics & Concepts
Conformable matrixMathematicsPartial differential equationExact solutions in general relativityMathematical analysisFractional calculusNonlinear systemSeries (stratigraphy)First-order partial differential equationApplied mathematicsPhysicsBiologyPaleontologyQuantum mechanicsFractional Differential Equations SolutionsNonlinear Waves and SolitonsNonlinear Photonic Systems