JAEM 2017, Vol 7, No 1
Recent Submissions

A note on line graphs
(Işık University Press, 20170220)The line graph and 1quasitotal graph are wellknown concepts in graph theory. In Satyanarayana, Srinivasulu, and Syam Prasad [13], it is proved that if a graph G consists of exactly m connected components Gi (1 ≤ i ≤ m) ... 
Numerical solution of a 2D diffusion reaction problem modelling the density of divacancies and vacancies in a metal
(Işık University Press, 20170103)A decomposition solution of a diffusion reaction problem, which models the density of divacancies and vacancies in a metal is presented. The results are compared with the numerical solutions. Zero  diffusion solutions ... 
Partitioning a graph into monopoly sets
(Işık University Press, 2017)In a graph G = (V, E), a set M ⊆ V (G) is said to be a monopoly set of G if every vertex v ∈ V − M has, at least, d(v)/2 neighbors in M. The monopoly size of G, denoted by mo(G), is the minimum cardinality of a monopoly ... 
Adaptive methods for solving operator equations by using frames of subspaces
(Işık University Press, 2017)In this paper, using a frame of subspaces we transform an operator equation to an equivalent `2problem. Then, we propose an adaptive algorithm to solve the problem and investigate the optimality and complexity properties ... 
A discussion on some recent coupled fixed point results via new generalized nonlinear contractive conditions
(Işık University Press, 2017)Recently, Samet et al. [34], by using the equivalence of the three basic metrics showed that certain coupled fixed point results can be obtained immediately from the wellknown fixed point theorems. In the setting of ... 
A new heuristic algorithm for multiple traveling salesman problem
(Işık University Press, 2017)The Multiple Traveling Salesman Problem (mTSP) is a combinatorial optimization problem in NPhard class. The mTSP aims to acquire the minimum cost for traveling a given set of cities by assigning each of them to a different ... 
Numerical solution of the interrelated differential equation of motion in phonon engineering
(Işık University Press, 2017)In this work, we study numeric calculations of phonon modes in nanostructures. The motion equation of atoms in a crystal with some simplification, results in a second order ordinary differential equation and two interrelated ... 
On complex multiplicative integration
(Işık University Press, 2017)In the present paper, we extend the multiplicative integral to complexvalued functions of complex variable. The main difficulty in this way, that is, the multivalued nature of the complex logarithm is avoided by division ... 
Certain integral transforms and fractional integral formulas for the extended hypergeometric functions
(Işık University Press, 2017)In this present paper, we derive various integral transforms, including Euler, Varma, Laplace, and Whittaker integral transforms for the extended hypergeometric functions which has recently been introduced by Choi et al.[3]. ... 
Solutions of complex equations with adomian decomposition method
(Işık University Press, 2017)In this study, first order linear complex differential equations have been solved with adomian decomposition method. 
On approximate methods for fractal vehicular traffic flow
(Işık University Press, 2017)In this paper, we find the approximate solutions for partial differential equations arising in fractal vehicular traffic flow by using the local fractional Laplace decomposition method (LFLDM) and local fractional series ... 
On relation of two processes with independent increments applied in queueing systems
(Işık University Press, 2017)In the paper, by using two processes ξt and η (t), t ≥ 0 with independent increments, one of which is without negative overshoots and the second one is homogeneous in time, we study a homogeneous Markov process ξt, t ≥ 0, ... 
Combining genetic algorithm and SincGalerkin method for solving an inverse diffusion problem
(Işık University Press, 2017)A numerical approach combining the use of a genetic algorithm with the solution of the SincGalerkin method is proposed for the determination of an unknown timedependent diffusivity a(t) in an inverse diffusion problem ... 
Coincidence and common fixed point theorems for faintly compatible maps
(Işık University Press, 2017)The paper is aimed to generalize and improve the results of Bisht and Shahzad [Faintly compatible mappings and common fixed points, fixed point theory and applications, 2013, 2013:156]. The significance of this paper lies ... 
Common coupled fixed point theorem under weak ψ − ϕ contraction for hybrid pair of mappings with application
(Işık University Press, 2017)We establish a common coupled fixed point theorem for hybrid pair of mappings under weak ψ − ϕ contraction on a noncomplete metric space, which is not partially ordered. It is to be noted that to find coupled coincidence ... 
On the construction of general solution of the generalized sylvester equation
(Işık University Press, 2017)The problem of construction the general solution of the generalized matrix Sylvester equation is considered. Conditions of existence of solution of this equation are obtained and the algorithm for construction of this ... 
Extremum seeking control of uncertain systems
(Işık University Press, 2017)Extremum seeking is used in control problems where the reference trajectory or reference set point of the system is not known but it is searched in real time in order to maximize or minimize a performance function representing ...