A novel Elzaki transform homotopy perturbation method for solving time-fractional non-linear partial differential equations
Sajad Iqbal, Francisco Martínez, Mohammed K. A. Kaabar, Mohammad Esmael Samei
Abstract
Abstract This paper presents the solution of important types of non-linear time-fractional partial differential equations via the conformable Elzaki transform Homotopy perturbation method. We apply the proposed technique to solve four types of non-linear time-fractional partial differential equations. In addition, we establish the results on the uniqueness and convergence of the solution. Finally, the numerical results for a variety of α values are briefly examined. The proposed method performs well in terms of simplicity and efficiency.
Topics & Concepts
MathematicsHomotopy analysis methodPartial differential equationNumerical partial differential equationsMathematical analysisOrdinary differential equationHomotopy perturbation methodFractional calculusApplied mathematicsMethod of characteristicsStochastic partial differential equationNonlinear systemExponential integratorHomotopyDifferential equationDifferential algebraic equationQuantum mechanicsPhysicsPure mathematicsFractional Differential Equations SolutionsIterative Methods for Nonlinear EquationsNonlinear Waves and Solitons