A FRACTAL VARIATIONAL PRINCIPLE FOR THE TELEGRAPH EQUATION WITH FRACTAL DERIVATIVES
Kang‐Le Wang, Shao‐Wen Yao, Yanping Liu, Lina Zhang
Abstract
A fractal modification of the telegraph equation with fractal derivatives is given, and its variational principle is established by the semi-inverse method. The two-scale transform method and He’s homotopy perturbation method are successfully adopted to solve the fractal equation.
Topics & Concepts
FractalHomotopy perturbation methodFractal derivativeMathematicsVariational principleMathematical analysisInverseHomotopy analysis methodPerturbation (astronomy)HomotopyApplied mathematicsFractal dimensionFractal analysisPure mathematicsGeometryPhysicsQuantum mechanicsFractional Differential Equations SolutionsIterative Methods for Nonlinear EquationsNonlinear Waves and Solitons