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https://hdl.handle.net/20.500.12402/1912

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Annihilators of Cartier quotients
(World Scientific, 2020) Yeşil, Mehmet
This paper studies Cartier modules with a computational perspective, and describes an algorithm which produces annihilators of quotients of a given finitely generated Cartier module with a surjective structural map.
Entropy-based multi-item solid transportation problems with uncertain variables
(Springer Nature, 2019-07-01) Dalman, Hasan;
This paper focuses on modeling and optimization of entropy-based uncertain multi-item solid transportation problems (MISTPs), in which direct costs, supplies, demands, conveyance capacities are uncertain nature. The purpose is to minimize the total uncertain cost via maximum entropy which ensures uniform delivery of products from sources to destinations through conveyances. The expected value programming and expected constrained programming models for optimizing the entropy-based uncertain MISTPs are constructed. These models are based on uncertainty theory. Subsequently, the constructed models are converted into their deterministic equivalences which are solved using two known mathematical programming methods. Finally, a numerical example is given to illustrate the models.
An explicit version of the correspondence between noetherian modules with cartier maps and artinian modules with frobenius maps
(Hacettepe University, 2020-10-06) Yeşil, Mehmet
In this paper, we introduce an explicit version of the correspondence between Noetherian modules with Cartier maps and Artinian modules with Frobenius maps which recovers the correspondence given by R. Y. Sharp and Y. Yoshino, and the correspondence given by M. Blickle and G. Böckle.
First boundary value problem for cordes-type semilinear parabolic equation with discontinuous coefficients
(Hindawi, 2020-06-19) Harman, Aziz; Harman, Ezgi
For a class of semilinear parabolic equations with discontinuous coefficients, the strong solvability of the Dirichlet problem is studied in this paper. The problem ∑i,j=1naijt,xuxixj-ut+gt,x,u=ft,x,uΓQT=0, in QT=Ω×0,T is the subject of our study, where Ω is bounded C2 or a convex subdomain of En+1,ΓQT=∂QT\∖t=T. The function gx,u is assumed to be a Caratheodory function satisfying the growth condition gt,x,u≤b0uq, for b0>0,q∈0,n+1/n-1,n≥2, and leading coefficients satisfy Cordes condition b0>0,q∈0,n+1/n-1,n≥2.
A fuzzy logic based approach to solve interval multiobjective nonlinear transportation problem
(Springer Nature, 2019-06-01) Dalman, Hasan; Sivri, Mustafa
This paper presents the solution procedure of multiobjective nonlinear transportation problem (MNOTP) where the cost coefficients of the objective functions, and the supply and the unknown demand parameters have been formulated as interval numbers by the decision maker. This problem has been converted into a conventional MNOTP where to minimize the interval nonlinear objective functions, the order relations that define the choice between intervals have been determined by the interval arithmetic. Also, the constraints with interval supply and unknown demand parameters have been transformed into its deterministic forms. Then the deterministic problems have been solved by two compromise programming methods. Finally, a numerical example is presented to illustrate the efficiency of the proposed procedure as well.
A generalization of the Katzman-Zhang algorithm
(Elsevier, 2021-03) Yeşil, Mehmet
In this paper, we study the notion of special ideals. We generalize the results on those as well as the algorithm obtained for finite dimensional power series rings by Mordechai Katzman and Wenliang Zhang to finite dimensional polynomial rings.
Interactive goal programming algorithm with Taylor series and interval type 2 fuzzy numbers
(Springer Nature, 2019-06-01) Dalman, Hasan; Bayram, Mustafa
This paper presents an interactive fuzzy goal programming (FGP) approach for solving Multiobjective Nonlinear Programming Problems (MONLPP) with interval type 2 fuzzy numbers (IT2 FNs). The cost and time of the objective functions, and the requirements of each kind of resources are taken to be trapezoidal IT2 FNs. Here, the considered fuzzy problem is first transformed into an equivalent crisp MONLPP, and then the MONLPP is converted into an equivalent multiobjective linear programming problem (MOLPP). By using an algorithm based on Taylor series, this problem is also reduced into a single objective linear programming problem (LPP) which can be easily solved by Maple 2017 optimization toolbox. Finally, the proposed solution procedure is illustrated by a numerical example.
Multivariate padé approximation for solving nonlinear partial differential equations of fractional order
(Hindawi, 2013-03-16) Turut, Veyis; Güzel, Nuran
Two tecHniques were implemented, the Adomian decomposition method (ADM) and multivariate Pade approximation (MPA), for ´ solving nonlinear partial differential equations of fractional order. The fractional derivatives are described in Caputo sense. First, the fractional differential equation has been solved and converted to power series by Adomian decomposition method (ADM), then power series solution of fractional differential equation was put into multivariate Pade series. Finally, numerical results were ´ compared and presented in tables and figures
Multivariate padé approximation for solving partial differential equations (PDE)
(Wiley-Blackwell, 2011-07-30) Turut, Veyis; Çelik, Ercan; Yiğider, Muhammed
In this paper, numerical solution of partial differential equations (PDEs) is considered by multivariate padé approximations. We applied these method to two examples. First, PDE has been converted to power series by two-dimensional differential transformation, Then the numerical solution of equation was put into multivariate padé series form. Thus, we obtained numerical solution of PDE.
Multivariate pade approximations for solving nonlinear diffusion equations
(Walter de Gruyter, 2015-11-24) Turut, Veyis
In this paper, multivariate Pade approximation is applied to power series solutions of nonlinear diffusion equations. As it is seen from tables, multivariate Pade approximation (MPA) gives reliable solutions and numerical results.
New inner product quasilinear spaces on interval numbers
(Hindawi, 2016) Bozkurt, Hacer; Yılmaz, Yılmaz
Primarily we examine the new example of quasilinear spaces, namely, "IRn interval space." We obtain some new theorems and results related to this new quasilinear space. After giving some new notions of quasilinear dependence-independence and basis on quasilinear functional analysis, we obtain some results on IRn interval space related to these concepts. Secondly, we present Is,Ic0,Il∞, and Il2 quasilinear spaces and we research some algebraic properties of these spaces. We obtain some new results and provide an important contribution to the improvement of quasilinear functional analysis.
On a class of pseudo-symmetric numerical semigroups
(Pushpa Publishing House, 2011-12) Süer, Meral; İlhan, Sedat
On a family of saturated numerical semigroups with multiplicity four
(TÜBİTAK, 2017-01-16) Süer, Meral; İlhan, Sedat
In this study, we will give some results on Arf numerical semigroups of multiplicity four generated by {4, k, k + 1, k + 2} where k is an integer not less than 5 and k ≡ 1(mod 4).
On the saturated numerical semigroups
(Open Mathematics, 2016-11) Süer, Meral; İlhan, Sedat
In this study, we characterize all families of saturated numerical semigroups with multiplicity four. We also present some results about invariants of these semigroups.
The theoretical and experimental study on double-Gaussian distribution in inhomogeneous barrier-height Schottky contacts
(Elsevier, 2010-11) Yıldırım, Nezir; Turut, Abdulmecit; Turut, Veyis
We have considered multi-Gaussian distribution of barrier-heights for non-interactive barrier inhomogeneities in the inhomogeneous Schottky diodes, and we have shown the presence of the intersecting behavior in the forward-bias current-voltage (I-V) curves for the double-Gaussian distribution model at low temperatures. We have tried to eliminate this effect by generating I-V curves at lower temperatures with the bias-dependent barrier-height expression which leads to the ideality factors greater than unity. For this calculation, we have obtained the expressions for the barrier-height change and ideality factor, and for bias-dependency of the BH for the multi-Gaussian model by following the literature. We have shown that the experimental forward-bias I-V curves coincide with the theoretical ones using the bias-dependent inhomogeneous BH expression at low and high temperatures in the double-Gaussian distribution of BHs.

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