A New Scheme for Solving a Fractional Differential Equation and a Chaotic System
Ahmad Qazza, Mohamed A. Abdoon, Rania Saadeh, Mohammed Berir
Abstract
The subject of this study is the solution of a fractional Bernoulli equation and a chaotic system by using a novel scheme for the fractional derivative and comparison of approximate and exact solutions. It is found that the suggested method produces solutions that are identical to the exact solution. We can therefore generalize the strategy to different systems to get more accurate results. We think that the novel fractional derivative scheme that has been offered and the algorithm that has been suggested will be utilized in the future to construct and simulate a variety of fractional models that can be used to solve more difficult physics and engineering challenges.
Topics & Concepts
MathematicsFractional calculusScheme (mathematics)ChaoticBernoulli's principleApplied mathematicsConstruct (python library)Variety (cybernetics)Derivative (finance)Mathematical optimizationMathematical analysisComputer scienceArtificial intelligenceAerospace engineeringEconomicsStatisticsProgramming languageFinancial economicsEngineeringFractional Differential Equations Solutions