SOLUTION OF THE LOCAL FRACTIONAL GENERALIZED KDV EQUATION USING HOMOTOPY ANALYSIS METHOD
Hossein Jafari, Jyoti Geetesh Prasad, Pranay Goswami, Ravi Shanker Dubey
Abstract
In this paper, we solve the [Formula: see text]-Generalized KdV equation by local fractional homotopy analysis method (LFHAM). Further, we analyze the approximate solution in the form of non-differentiable generalized functions defined on Cantor sets. Some examples and special cases of the main results are also discussed.
Topics & Concepts
MathematicsKorteweg–de Vries equationHomotopy analysis methodDifferentiable functionHomotopyFractional calculusApplied mathematicsHomotopy perturbation methodPure mathematicsMathematical analysisNonlinear systemPhysicsQuantum mechanicsFractional Differential Equations SolutionsIterative Methods for Nonlinear EquationsMathematical and Theoretical Analysis