Soliton solutions of nonlinear fractional differential equations with its applications in mathematical physics
Adem C. Çevikel
Abstract
Generalized Kudryashov method has been used to private type of nonlinear fractional differential equations. Firstly, we proposed a fractional complex transform to convert fractional differential equations into ordinary differential equations. Three applications were given to demonstrate the effectiveness of the present technique. As a result, abundant types of exact analytical solutions are obtained.
Topics & Concepts
Nonlinear systemSolitonFractional calculusType (biology)Differential equationPhysicsOrdinary differential equationApplied mathematicsMathematical analysisMathematicsQuantum mechanicsBiologyEcologyNonlinear Waves and SolitonsFractional Differential Equations SolutionsAdvanced Differential Equations and Dynamical Systems