Analysis of the Time Fractional-Order Coupled Burgers Equations with Non-Singular Kernel Operators
Noufe H. Aljahdaly, Ravi P. Agarwal, Rasool Shah, Thongchai Botmart
Abstract
In this article, we have investigated the fractional-order Burgers equation via Natural decomposition method with nonsingular kernel derivatives. The two types of fractional derivatives are used in the article of Caputo–Fabrizio and Atangana–Baleanu derivative. We employed Natural transform on fractional-order Burgers equation followed by inverse Natural transform, to achieve the result of the equations. To validate the method, we have considered a two examples and compared with the exact results.
Topics & Concepts
Invertible matrixFractional calculusMathematicsKernel (algebra)Burgers' equationOrder (exchange)Applied mathematicsInverseMathematical analysisPartial differential equationPure mathematicsEconomicsFinanceGeometryFractional Differential Equations SolutionsNonlinear Waves and SolitonsNumerical methods in engineering