An efficient semi-analytical method for solving the generalized regularized long wave equations with a new fractional derivative operator
H. M. Srivastava, Sinan Deni̇z, Khaled M. Saad
Abstract
In this work, the newly developed optimal perturbation iteration technique with Laplace transform is applied to the generalized regularized long wave equations with a new fractional operator to obtain new approximate solutions. We transform the classical generalized regularized long wave equations to fractional differential form by using the Atangana-Baleanu fractional derivative which is defined with the Mittag-Leffler function. To show the efficiency of the proposed method, a numerical example is given for different values of physical parameters.
Topics & Concepts
Fractional calculusLaplace transformMathematicsOperator (biology)Applied mathematicsMathematical analysisMittag-Leffler functionDerivative (finance)Laplace transform applied to differential equationsPerturbation (astronomy)PhysicsEconomicsTranscription factorChemistryGeneQuantum mechanicsBiochemistryFinancial economicsRepressorFractional Differential Equations SolutionsIterative Methods for Nonlinear EquationsNumerical methods in engineering