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## Dynamical Behaviors of Separated Homotopy Method Defined by Conformable Operator

#### Mehmet Yavuz [1]

##### 90 148

In this paper, we consider some linear/nonlinear differential equations (DEs) containing conformable derivative operator (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 (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.

Conformable operator, separated homotopy method, approximate solution, nonlinear equation
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Primary Language en Engineering Articles Orcid: 0000-0002-3966-6518Author: Mehmet Yavuz (Primary Author)Institution: FACULTY OF SCIENCECountry: Turkey Publication Date: April 15, 2019
 Bibtex @research article { konuralpjournalmath543592, journal = {Konuralp Journal of Mathematics (KJM)}, issn = {}, eissn = {2147-625X}, address = {Mehmet Zeki SARIKAYA}, year = {2019}, volume = {7}, pages = {1 - 6}, doi = {}, title = {Dynamical Behaviors of Separated Homotopy Method Defined by Conformable Operator}, key = {cite}, author = {Yavuz, Mehmet} } APA Yavuz, M . (2019). Dynamical Behaviors of Separated Homotopy Method Defined by Conformable Operator. Konuralp Journal of Mathematics (KJM), 7 (1), 1-6. Retrieved from http://dergipark.org.tr/konuralpjournalmath/issue/31492/543592 MLA Yavuz, M . "Dynamical Behaviors of Separated Homotopy Method Defined by Conformable Operator". Konuralp Journal of Mathematics (KJM) 7 (2019): 1-6 Chicago Yavuz, M . "Dynamical Behaviors of Separated Homotopy Method Defined by Conformable Operator". Konuralp Journal of Mathematics (KJM) 7 (2019): 1-6 RIS TY - JOUR T1 - Dynamical Behaviors of Separated Homotopy Method Defined by Conformable Operator AU - Mehmet Yavuz Y1 - 2019 PY - 2019 N1 - DO - T2 - Konuralp Journal of Mathematics (KJM) JF - Journal JO - JOR SP - 1 EP - 6 VL - 7 IS - 1 SN - -2147-625X M3 - UR - Y2 - 2019 ER - EndNote %0 Konuralp Journal of Mathematics (KJM) Dynamical Behaviors of Separated Homotopy Method Defined by Conformable Operator %A Mehmet Yavuz %T Dynamical Behaviors of Separated Homotopy Method Defined by Conformable Operator %D 2019 %J Konuralp Journal of Mathematics (KJM) %P -2147-625X %V 7 %N 1 %R %U ISNAD Yavuz, Mehmet . "Dynamical Behaviors of Separated Homotopy Method Defined by Conformable Operator". Konuralp Journal of Mathematics (KJM) 7 / 1 (April 2019): 1-6. AMA Yavuz M . Dynamical Behaviors of Separated Homotopy Method Defined by Conformable Operator. Konuralp J. Math.. 2019; 7(1): 1-6. Vancouver Yavuz M . Dynamical Behaviors of Separated Homotopy Method Defined by Conformable Operator. Konuralp Journal of Mathematics (KJM). 2019; 7(1): 6-1.