JAEM 2025, Vol 15, No 1 koleksiyonunu içerir. http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/6174 2026-04-08T18:56:10Z 2026-04-08T18:56:10Z Priyanka, G.B. Catherine Grace John, J. Xavier, P. http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/6194 2025-01-03T09:05:05Z 2025-01-01T00:00:00Z

Divisor equitable domination in fuzzy graphs Priyanka, G.B.; Catherine Grace John, J.; Xavier, P. The dominance of graph theory in a number of domains, including coding theory, facility location issues, biological network modelling and bus routing, has been credited with a wide range of applications. Finding the right group of representatives challenges, maintaining communication and electricity networks and land surveying all involve concepts from dominance. Hence, in this article, we introduced divisor equitable dominating sets in fuzzy graphs. We defined divisor equitable domination number and divisor minimal equitable dominating set. We also discussed the characterizations of minimal divisor equitable dominating sets. Further we studied the relation between divisor equitable independent sets and minimal divisor equitable dominating sets.

2025-01-01T00:00:00Z Yasmin, A. Venkatesan, Ramasamy http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/6193 2025-01-03T08:49:50Z 2025-01-01T00:00:00Z

An innovative RNA cryptosystem using moore machine Yasmin, A.; Venkatesan, Ramasamy RNA Cryptography plays an exciting role in research, that has capability to provide a novel approach for the secure communication in the internet from terrible assailant. This paper presents the novel technique of RNA cryptosystem based on moore machine. The sender generates 512-bit secret key using the receiver credentials and used for encrypt the data. The randomly constructed moore machine provides the substitute RNA component during the data encryption. In this model, the RNA codons used for carrying the secure information and at the end, we discussed complexity, frequency and some of security attacks to prove that this novel scheme is efficient and secure cryptosystem.

2025-01-01T00:00:00Z Shahmansoorian, Aref Varseie, Mohammadreza http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/6192 2025-01-03T08:36:04Z 2025-01-01T00:00:00Z

Fault estimation based on observer for fractional-order Lu system with bifurcation problem Shahmansoorian, Aref; Varseie, Mohammadreza Control systems have been susceptible to faults in recent years due to the complexities of their equipment and long-term function. These faults can reduce system performance, impose losses and casualties, and/or reduce final product quality. In order to detect such defects in a control system, fault estimation (FE) has been adopted in several studies. In this paper Estimating the sensor-based fault of a fractional-order Lu system with disturbances such as noise was investigated. This fault estimation problem is implemented using a bifurcation problem in the fractional-order Lu system. This study tries to synthesize the perception of bifurcation problem and fault estimation. Noise disturbance in nonlinear systems makes fault diagnosis a complex problem that should be managed over Takagi-Sugeno (TS) approximated fuzzy models. This approximation method can predict the faults and states of system. To model the observer, the TS fuzzy model was incorporated with a proportional plus integral. The results proved that the observer has a desirable performance to measure states and fault of sensor. Based on the estimations, the actual value of the parameters gives us the deviation value, which is equal to the low amount of deviation here, due to the bifurcation that happens in the system.

2025-01-01T00:00:00Z Ünal, Metin http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/6191 2025-01-03T08:13:23Z 2025-01-01T00:00:00Z

Travelling wave solutions for the time-fractional equations by the Sine-Gordon expansion method Ünal, Metin The aim of this paper is to explore travelling wave solutions by utilising the novel sine-Gordon expansion method for the time-fractional (1 + 1)-dimensional Hirota Satsuma equation and the time-fractional (2 + 1) -dimensional Caudrey-Dodd-GibbonKotera-Sawada equations. Using the traveling wave transformation, the fractional PDE turns into an ODE. Applying the auxiliary equation from the described method, we get an algebraic polynomial, setting the like power to zero, we get a system of algebraic equations. Solving these equations by using mathematical software program, we acquire the solution sets for the constants. Abundant travelling wave solutions are obtained and expressed in terms of hyperbolic functions. Some graphics of the solutions have also been presented. The proposed method is direct and effective in solving nonlinear evolution equations.

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