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Volume 8 Number 1 Year 2018

12 articles in this issue 

Mehmet Yavuz

In this work, we develop a formulation for the approximate-analytical solution of fractional partial differential equations (PDEs) by using conformable fractional derivative. Firstly, we redefine the conformable fractional Adomian decomposition method (CF... see more

Pags. 1 - 7  

Aysegül Yildiz Ulus

Optimal growth problem is an important optimization problem in the theory of economic dynamics. This paper provides an overview of the main approaches used in the existing literature in solving infinite horizon discrete time optimal growth problem and inc... see more

Pags. 102 - 116  

Yavuz Ozdemir,Pelin Alcan,Huseyin Basligil,Dursun Cakrak

Selection of the heating system is based on many characteristics from the customer side. Operating cost, comfort, ease of use and aesthetic of the systems are some of the most important ones of these characteristics. In this article, data is collected pri... see more

Pags. 117 - 126  

Ilknur Koca

In this paper we investigate a possible applicability of the newly established fractional differentiation in the field of epidemiology. To do this we extend the model describing the Rubella spread by replacing the time derivative with the time fractional ... see more

Pags. 17 - 25  

M. Hakan Akyüz

The Capacitated Multi-facility Weber Problem addresses optimally locating I capacitated facilities in the plane and satisfying demand of J customers so as to minimize the total transportation cost. It assumes that facilities can be&nbs... see more

Pags. 26 - 42  

S. S. Ravindran

Thermally coupled magneto-hydrodynamics (MHD) studies the dynamics of electro-magnetically and thermally driven flows,involving MHD equations coupled with heat equation. We introduce a partitioned method that allows one to decouplethe MHD equations from t... see more

Pags. 43 - 62  

Ozkan Guner

In this paper, solitary-wave ansatz and the (G'/G)-expansion methods have been used to obtain exact solutions of the fractional regularized long-wave (RLW) and coupled Nizhnik-Novikov-Veselov (NNV) equation. As a result, three types of exact analytical so... see more

Pags. 63 - 72  

Halil Ibrahim Demir,Onur Canpolat

Process planning, scheduling and due-date assignment are three important manufacturing functions in our life. They all try to get local optima and there can be enormous loss in overall performance value if they are handled separately. That is why they sho... see more

Pags. 73 - 83  

Asuman Zeytinoglu,Murat Sari,Bilender P. Allahverdiev

In this paper, a new hybrid approach based on sixth-order finite difference and seventh-order weighted essentially non-oscillatory finite difference scheme is proposed to capture numerical simulation of the regularized long wave-Burgers equation which rep... see more

Pags. 8 - 16  

Hakan Yazici,Mert Sever

This paper concerns with the optimal state derivative feedback LQR controller design for vibration control of an offshore steel jacket platform having active tuned mass damper against the wave induced disturbances. Considering that the state derivative si... see more

Pags. 84 - 91  

Ismail Aydogdu

Inspired by the Z2Z4-additive codes, linear codes over Z_{2}^r x  (Z_{2} + uZ_{2})^s have been introduced by Aydogdu et al. more recently. Although these family of codes are similar to each other, linear codes over Z_{2}^r x  (Z_{2} + uZ_{2})^s ... see more

Pags. 92 - 101