The approximate analytical solutions of nonlinear fractional ordinary differential equations
Lamees K. Alzaki, Hassan Kamil Jassim
Abstract
The Sumudu homotopy perturbation method (SHPM) is applied to solve fractional order nonlinear differential equations in this paper.The current technique incorporates two notable strategies in particular Sumudu transform (ST) and homotopy perturbation method (HPM). The proposed method’s hybrid property decreases the number of the quantity of computations and materials needed. In this method, illustration examples evaluate the accuracy and applicability of the mentioned procedure. The outcomes got by FSHPM are in acceptable concurrence with the specific arrangement of the problem.
Topics & Concepts
MathematicsNonlinear systemHomotopy analysis methodHomotopy perturbation methodComputationPoincaré–Lindstedt methodOrdinary differential equationApplied mathematicsPerturbation (astronomy)Mathematical analysisProperty (philosophy)HomotopyDifferential equationSingular perturbationAlgorithmPhysicsPure mathematicsPhilosophyEpistemologyQuantum mechanicsFractional Differential Equations SolutionsIterative Methods for Nonlinear EquationsAdvanced Control Systems Design