A new analysis for Klein-Gordon model with local fractional derivative
Kang‐Le Wang, KangLe Wang, KangJia Wang, KangJia Wang
Abstract
This work adopts Yang’s local fractional derivative to define the fractional Klein-Gordon equation in a fractal space or microgravity space. The variational principle of local fractional Klein-Gordon equation is successfully established via fractional semi-inverse transform method and the classical He’s variational iteration method (HVIM) is used to obtain its approximate analytical solution.
Topics & Concepts
Fractional calculusKlein–Gordon equationMathematicsDerivative (finance)Space (punctuation)Mathematical analysisInverseFractalWork (physics)Applied mathematicsPhysicsGeometryNonlinear systemComputer scienceThermodynamicsEconomicsFinancial economicsOperating systemQuantum mechanicsFractional Differential Equations SolutionsNonlinear Waves and SolitonsIterative Methods for Nonlinear Equations