Homotopy-Sumudu transforms for solving system of fractional partial differential equations
A. K. Alomari
Abstract
Abstract In this paper, we investigate the Sumudu transforms and homotopy analysis method (S-HAM) for solving a system of fractional partial differential equations. A general framework for solving such a kind of problems is presented. The method can also be utilized to solve systems of fractional equations of unequal orders. The algorithm is reliable and robust. Existence and convergence results concerning the proposed solution are given. Numerical examples are introduced to demonstrate the efficiency and accuracy of the algorithm.
Topics & Concepts
MathematicsHomotopy analysis methodPartial differential equationOrdinary differential equationConvergence (economics)HomotopyApplied mathematicsNumerical partial differential equationsFractional calculusMathematical analysisDifferential equationPure mathematicsEconomicsEconomic growthFractional Differential Equations SolutionsIterative Methods for Nonlinear EquationsMathematical functions and polynomials