On approximate solutions for fractional system of differential equations with Caputo-Fabrizio fractional operator
Hassan Kamil Jassim, Mohammed Abed Shareef Hussain
Abstract
In this paper, we apply the Daftardar-Jafari method (DJM) and Sumudu decomposition method (SDM) to obtain the approximate analytical solutions of the fractional system of differential equations with Caputo-Fabrizio fractional derivative operator. The results obtained by DJM are compared with the results obtained by SDM. The results reveal that the suggested algorithms are very effective and simple and can be applied for linear and nonlinear problems in sciences and engineering.
Topics & Concepts
Fractional calculusMathematicsOperator (biology)Applied mathematicsDifferential equationMathematical analysisBiochemistryChemistryRepressorTranscription factorGeneFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisDifferential Equations and Boundary Problems