Exact Solution of Two-Dimensional Fractional Partial Differential Equations
Dumitru Bǎleanu, Hassan Kamil Jassim
Abstract
In this study, we examine adapting and using the Sumudu decomposition method (SDM) as a way to find approximate solutions to two-dimensional fractional partial differential equations and propose a numerical algorithm for solving fractional Riccati equation. This method is a combination of the Sumudu transform method and decomposition method. The fractional derivative is described in the Caputo sense. The results obtained show that the approach is easy to implement and accurate when applied to various fractional differential equations.
Topics & Concepts
Fractional calculusMathematicsDecomposition method (queueing theory)Partial differential equationDecompositionDerivative (finance)Riccati equationApplied mathematicsDifferential equationMathematical analysisDiscrete mathematicsEconomicsBiologyFinancial economicsEcologyFractional Differential Equations SolutionsNonlinear Waves and SolitonsIterative Methods for Nonlinear Equations