Teoman Özer

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We generate conservation laws for the one dimensional nonconservative Fokker–Planck (FP) equation, also known as the Kolmogorov forward equation, which describes the time evolution of the probability density function of position and velocity of a particle, and associate these, where possible, with Lie symmetry group generators. We determine the conserved(More)
We consider a class of complex networks with both delayed and nondelayed coupling. In particular, we consider the situation for both time delay-independent and time delay-dependent complex dynamical networks and obtain sufficient conditions for their asymptotic synchronization by using the Lyapunov-Krasovskii stability theorem and the linear matrix(More)
This work is concerned with the series solutions for the flow of third-grade non-Newtonian fluid with variable viscosity. Due to the nonlinear, coupled, and highly complicated nature of partial differential equations, finding an analytical solution is not an easy task. The homotopy analysis method HAM is employed for the presentation of series solutions.(More)
In this study FTIR was used to determine and identify 12 species of freshwater microalgae. Cyanobacteria, Chlorophyta and Bacillarophyta species were cultured in Allen media in batch culture. These algae were collected from different freshwaters in Ankara, Turkey. FTIR spectroscopy is easy to use and a robust technique allowed for macromolecular analysis(More)
1 Division of Mechanics, Faculty of Civil Engineering, İstanbul Technical University, Maslak, 34469 İstanbul, Turkey 2 Department of Plasma Theory, Institute for Nuclear Research, National Academy of Sciences of Ukraine, Kyiv 03680, Ukraine 3 Department of Mathematics and Statistics, Dalhousie University, Halifax NS, Canada B3H 4R2 4 Research Laboratory for(More)
In the present study, we investigate the symmetry groups of Benney equations that are the system of nonlinear integro-differential equations. We first investigate the symmetry groups of the Benney equations by using the method. Then we obtain all reduced forms of the system of integro-differential equations with fewer variables based on symmetry groups; and(More)
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