Application of the Aboodh Transform for Solving Fractional Delay Differential Equations
Mohamed Elarabi Benattia, Kacem Belghaba
Abstract
In this article, we extend the concept of the Aboodh transform to the solution of partial differential equations of fractional order using Caputo's fractional derivative. The transformation concerned is applicable to solve many classes of partial differential equations with derivatives of order and integrals. Consequently, the fractional Delay Differential Equations (DDEs) which we are going to study in this work. The resulting numerical proofs show that the method converges favorably towards the analytical solution.
Topics & Concepts
Fractional calculusMathematicsMathematical proofDelay differential equationNumerical partial differential equationsTransformation (genetics)Partial differential equationOrder (exchange)Applied mathematicsMathematical analysisDifferential equationDistributed parameter systemFirst-order partial differential equationGeneEconomicsChemistryGeometryFinanceBiochemistryFractional Differential Equations SolutionsIterative Methods for Nonlinear EquationsMathematical functions and polynomials