Efficient Solution of Fractional System Partial Differential Equations Using Laplace Residual Power Series Method
Ahmad Shafee, Yousuf Alkhezi, Rasool Shah
Abstract
In this paper, we present an efficient solution method for solving fractional system partial differential equations (FSPDEs) using the Laplace residual power series (LRPS) method. The LRPS method is a powerful technique for solving FSPDEs, as it allows for the efficient computation of the solution in the form of a power series expansion. The method is based on the Laplace transform and the residual power series, and is applied to a system of coupled FSPDEs. The method is validated using several test problems, and the results show that the LRPS method is a reliable and efficient method for solving FSPDEs.
Topics & Concepts
Laplace transformResidualPower seriesSeries (stratigraphy)MathematicsApplied mathematicsLaplace transform applied to differential equationsComputationPartial differential equationGreen's function for the three-variable Laplace equationInverse Laplace transformMathematical optimizationMathematical analysisAlgorithmBiologyPaleontologyFractional Differential Equations SolutionsIterative Methods for Nonlinear EquationsAdvanced Control Systems Design