Burak OĞUL

Article | 2019 | MANAS Journal of Engineering (MJEN)7 ( 2 )

The behaivour of the solutions of the following system of difference equations is examined, x(n+1)=x(n-20)/[1+x(n-2)x(n-5)x(n-8)x(n-11)x(n-14)x(n-17)] where the initial conditions are positive real numbers. The initial conditions of the equation are arbitrary positive real numbers. Also, we discuss and illustrate the stability of the solutions in the neighborhood of the critical points and the periodicity of the considered equations

Ercan ÇELİK

Article | 2023 | Journal of Function Spaces

In this study, the modification of the concept of exponentially convex function, which is a general version of convex functions, given on the coordinates, is recalled. With the help of an integral identity which includes the Riemann-Liouville (RL) fractional integral operator, new Hadamard-type inequalities are proved for exponentially convex functions on the coordinates. Many special cases of the results are discussed. Keywords: hadamard-type inequalities; rectangle

Ercan ÇELİK

Article | 2023 | Optical and Quantum Electronics55 ( 8 )

Fractional calculus is a field that is currently used in the world’s applications in many science and engineering fields where many models are still being developed and researched. The conformable time-fractional gives the full history of this function, which is the advantage of using fractional calculus to solve physical problems. In this study, the conformable time-fractional extended (2  1)-dimensional quantum Zakharov-Kuznetsov and the time-fractional modified Korteweg-de Vries equations are investigated by using the the modified exp (−Ω(ξ))-expansion function approach. Some new prototype analytical solutions such the hyperbolic . . . and trigonometric function solutions are successfully reached. The importance of current research is to derive new solutions using a strong analytical approach. All the reported solutions in this study have verified their corresponding model. Under the choice of suitable values of the parameters involved, the 3D and 2D to the obtained solutions are successfully plotted. Keyword: conformable derivative; hyperbolic function; the MEFM; trigonometric functio More less

Dağıstan ŞİMŞEK | Peyil Esengul Kızı

Article | 2018 | MANAS Journal of Engineering (MJEN)6 ( 2 )

In this paper the solutions of the following difference equation is examined

Gülşat MUHAMETJANOVA

Article | 2021 | International Journal of Mental Health and Addiction21 ( 2 )

The purpose of this study is to investigate the gaming habits, personality traits, and Internet gaming disorder (IGD) of Kyrgyz adolescents. Sociodemographic questions, gaming-related questions, Internet Gaming Disorder Test (IGD-10), and Big Five Inventory (BFI-10) were used to collect data from 248 Kyrgyz adolescents between the ages of 11 and 21 years. The study revealed that most of the participants play digital games for 1 to 10 h a week. Among the game categories, action games are the most preferred one by the participants. Structural equation modelling (SEM) was used to investigate the relationship between Big Five personalit . . .y traits and IGD. The results indicated that neuroticism has a positive and significant relationship with IGD. On the other hand, agreeableness has a negative and significant relationship with IGD. The results indicated that some personality traits have substantial predictive power in determining IGD among Kyrgyz adolescents More less

Ercan ÇELİK

Article | 2023 | Advances in Mathematical Physics2023

In this study, the Lie symmetry analysis is given for the time-fractional telegraph equation with the Riemann-Liouville derivative. This equation is useable to describe the physical processes of models possessing memory. By applying classical and nonclassical Lie symmetry analysis for the telegraph equation with & alpha;,& beta; time-fractional derivatives and some technical computations, new infinitesimal generators are obtained. The actual methods give some classical symmetries while the nonclassical approach will bring back other symmetries to these equations. The similarity reduction and conservation laws to the fractional teleg . . .raph equation are found More less

İsmet ALTINTAŞ

Article | 2022 | Mathematical Methods in the Applied Sciences45 ( Special Issue: 18 )

Altintas (2018) introduced a new concept with the name of disoriented knot. He defined a disoriented knot as an embedding of a disoriented circle with two arcs into Double-struck capital R3. In this paper, we redefine a disoriented knot as an embedding of a disoriented circle with 2n arcs into Double-struck capital R3 and expand the diagrammatic invariants and methods of classical knot theory such as connected sum, Reidemeister moves, Gauss codes, and Gauss diagrams to disoriented knot theory. Thus, we create the basic diagrammatic invariants and methods of disoriented knot theory.

Asan ÖMÜRALİEV | Ramiz RAFATOV

Article | 2011 | Automation and Remote Control72 ( 1 )

For the singularly perturbed parabolic problem, a regularized asymptotics of the solution of the problem of optimal control was constructed. The solution asymptotics involves parabolic boundary-layer functions obeying a special function called the “complementary probability integral.

İsmet ALTINTAŞ

Article | 2023 | Turkish Journal of Mathematics47 ( 1 )

In this paper, we define a two-variable polynomial invariant of regular isotopy, M_K for a disoriented link diagram K. By normalizing the polynomial M_K using complete writhe, we obtain a polynomial invariant of ambient isotopy, N_K, for a disoriented link diagram K. The polynomial N_K is a generalization of the expanded Jones polynomial for disoriented links and is an expansion of the Kauffman polynomial F to the disoriented links. Moreover, the polynomial M_K is an expansion of the Kauffman polynomial L to the disoriented links.

Fahreddin ABDULLAYEV

Article | 2019 | Mathematica Slovaca69 ( 6 )

In the Orlicz type spaces S-M, we prove direct and inverse approximation theorems in terms of the best approximations of functions and moduli of smoothness of fractional order. We also show the equivalence between moduli of smoothness and Peetre K-functionals in the spaces S-M. (C) 2019 Mathematical Institute Slovak Academy of Sciences

Asan ÖMÜRALİEV | Ella ABILAYEVA

Article | 2022 | Journal of Mathematical Sciences264 ( 4 )

In this paper we construct the asymptotics of the solution of the Cauchy problem for a singularly perturbed hyperbolic system by using the regularization method for singularly perturbed problems of S.A. Lomov. The regularization method for singularly perturbed problems of S.A. Lomov is used for the first time to construct the asymptotic solution of a hyperbolic system.

Ömer AKIN

Article | 2018 | MANAS Journal of Engineering (MJEN)6 ( 2 )

In this paper we have frstly defned a metric in intuitionistic fuzzy environment and studied its properties. Then we have proved that the metric space of fuzzy number valued functions is complete under this metric. We have studied the concept of Aumann integration for intuitionistic fuzzy number valued functions in terms of α and β cuts. We have given the relation between Hukuhara derivative and Aumann integral for intuitionistic fuzzy valued functions by using the fundamental theorem of calculus.