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.
Primary Language  en 

Subjects  Engineering 
Journal Section  Articles 
Authors 

Dates 
Publication Date: April 15, 2019 
Bibtex  @research article { konuralpjournalmath543592,
journal = {Konuralp Journal of Mathematics (KJM)},
issn = {},
eissn = {2147625X},
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), 16. 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): 16 <http://dergipark.org.tr/konuralpjournalmath/issue/31492/543592> 
Chicago  Yavuz, M . "Dynamical Behaviors of Separated Homotopy Method Defined by Conformable Operator". Konuralp Journal of Mathematics (KJM) 7 (2019): 16 
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  2147625X 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 2147625X %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): 16. 
AMA  Yavuz M . Dynamical Behaviors of Separated Homotopy Method Defined by Conformable Operator. Konuralp J. Math.. 2019; 7(1): 16. 
Vancouver  Yavuz M . Dynamical Behaviors of Separated Homotopy Method Defined by Conformable Operator. Konuralp Journal of Mathematics (KJM). 2019; 7(1): 61. 