Authors : Taylan Demir
DOI : 10.13140/rg.2.2.21984.25609
Volume : 1
Issue : 1
Year : 2023
Page No : 1-41
In this study, initially definitions of fractional differential operators were given [1]-[2]. Later, difference equations were mentioned [3]. Particularly , difference operators, first-order linear difference equations and solving linear equations were explained [3]. In as much as; we usually used fractional operators in this part. After, by researching fractional order difference equations, we used Riemann-Liouville and Caputo definitions on fractional difference equations [1]-[2]-[3]. Final part, fractional order systems were mentioned and Caputo type fractional operators were modelled with linear, nonlinear, Cornu, Lorenz, Chen-type systems and heat transfer systems [1]-[2]-[3]-[4]-[5]. Results of these applications, some successive approximations were obtained on both linear and nonlinear systems [1]-[2]-[3]-[4].Finally, we used Laplace transformation on linear and nonlinear systems to analyze these systems on frequence domain [2]-[4].