Dynamical Behaviors of Separated Homotopy Method Defined by Conformable Operator

Authors : Mehmet Yavuz

Pages : 1-6

View : 20 | Download : 12

Publication Date : 2019-04-15

Article Type : Research Paper

Abstract :In this paper, we consider some linear/nonlinear differential equations insert ignore into journalissuearticles values(DEs); containing conformable derivative operator insert ignore into journalissuearticles values(CDO);. We obtain approximate solutions of these mentioned DEs in the form of infinite series which converges swiftly to its exact value by using separated homotopy method insert ignore into journalissuearticles values(SHM);. Using the conformable operator in solutions of different types of DEs makes the solution steps are computable easily. As well as some theoretical results of the conformable operator, it has been used in modelling the DEs and describing certain problems such as engineering, material sciences, economic and other areas of application. In this context, the aim of this study is to apply the mentioned method to some illustrative linear/nonlinear problems and to solve them as mathematically. In addition, comparing the exact solutions with the obtained solutions is considered by the presentation of some plots. Therefore, the results of this study show the reliability and simplicity of the methods constructed with the conformable operator.
Keywords : Conformable operator, separated homotopy method, approximate solution, nonlinear equation