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Öğe All arf or saturated numerical semigroups with multiplicity 7(Dicle Üniversitesi, 2016-12) Süer, MeralÖğe Annihilators of Cartier quotients(World Scientific, 2020) Yeşil, MehmetThis 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.Öğe Application of multivariate pade approximation for partial differential equations (PDE)(Batman Üniversitesi, 2012) Turut, VeyisThe implementation of Multivariate Padé Approximation (MPA) was examined in this paper. Multivariate Padé Approximation (MPA) was applied to the two examples solved by Adomian’s Decomposition Method (ADM). That is, power series solutions by Adomian’s Decomposition, was put into Multivariate Padé series form. Thus Numerical solutions of two examples were calculated and results were presented in tables and figures.Öğe Arf numerical semigroups with multiplicity eight(Yıldız Teknik Üniversitesi, 2017-05) Süer, Meral; İlhan, Sedat; Karakaş, İbrahimÖğe Arf sayısal yarıgrupları(Çankaya Üniversitesi, 2013-06) Süer, Meral; İlhan, SedatÖğe Bazı saturated sayısal yarıgruplar üzerine(Dicle Üniversitesi, 2016-12) Süer, Meral; İlhan, Sedat; Çelik, AhmetÖğe Bazı sayısal yarıgrupların tip dizileri(Erciyes Üniversitesi, 2010-08) Süer, Meral; İlhan, SedatÖğe Bazı teleskopik sayısal yarı grupların parametrizasyonu(Atılım Üniversitesi, 2017-09) Süer, MeralÖğe Betti numbers of some telescopic numerical semigroups(IKSAD Publishing House, 2018-05-01) Süer, Meral; Sezgin, Mehmet ŞirinLet be the set of nonnegative integers. A numerical semigroup is a nonempty subset M of that is closed under addition, contains the zero element, and whose complement in is finite. In this study, we will examine the Betti numbers of some telescopic numerical semigroup families with generated triply. And we will try to express in terms of generators of these numerical semigroup families. So we will find a formula for the Betti numbers of these numerical semigroup families.Öğe Biquasilinear functionals on quasilinear spaces and some related results(Erzincan Üniversitesi, 2020-03-20) Bozkurt, Hacer; Yılmaz, YılmazIn this paper, we will present the notion of the biquasilinear functional which is a new concept of quasilinear functional analysis. Just like bilinear functional, the notions of a biquasilinear functional and a quadratic form will not need to have the constitution of an inner product quasilinear space. We were able to define these functionals in any quasilinear space. After giving this new notion, we discuss some examples and prove some theorems for considerable exercises to the theory of biquasilinear functionals in Hilbert quasilinear spacesÖğe Comparing numerical methods for solving time-fractional reaction-diffusion equations(Hindawi, 2012-08-29) Turut, Veyis; Güzel, NuranMultivariate Pade approximation ´ MPA is applied to numerically approximate the solutions of time-fractional reaction-diffusion equations, and the numerical results are compared with solutions obtained by the generalized differential transform method GDTM. The fractional derivatives are described in the Caputo sense. Two illustrative examples are given to demonstrate the effectiveness of the multivariate Pade approximation ´ MPA. The results reveal that the multivariate Pade approximation ´ MPA is very effective and convenient for solving timefractional reaction-diffusion equationsÖğe Conditions of numerical semigroups having maximal or almost maximal length(International Journal of Physical Sciences, 2012-04-30) Süer, Meral; İlhan, SedatÖğe Delta sets of some pseudo-symmetric numerical semigroups(IKSAD Publishing House, 2018-05-01) Süer, Meral; Çelik, ÖzkanA numerical semigroup is a submonoid of , the set of nonnegative integers, under addition and with finite complement in . If the numerical semigroup is the form with an integer not divisible by tree, then is a pseudo symmetric numerical semigroup with embedding dimension and multiplicity three. We present procedures to calculate the delta of pseudo- symmetric numerical semigroups as given above. Also, we will give a relation between the betti numbers and the delta sets of these semigroups.Öğe An efficient nonlinear technique for systems of fractional differential equations(Istanbul Gelisim University, 2017) Turut, Veyis; Bayram, MustafaÖğe 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.Öğe Equivalent normed quasilinear spaces(Iksad Publications, 2018) Bozkurt, Hacer; Yılmaz, YılmazAseev introduced the concepts of quasilinear spaces and normed quasilinear spaces, in his article [1]. He used the partial order relation to define quasilinear spaces. He stated properties and results which are quasilinear counterparts of some results in classical linear functional analysis. Also, in [1], he defined the some new concepts which are only meaningful in normed quasilinear spaces. We give, in this presentation, some new results and examples on quasilinear spaces and normed quasilinear spaces. Further, we introduce the concept of equivalent norms on a quasilinear space. By novelty of the new definition, we state on the Hausdorff metric properties for equivalent norms which are extend to the quasilinear context some results of linear functional analysis.Öğe An explicit version of the correspondence between noetherian modules with cartier maps and artinian modules with frobenius maps(Hacettepe University, 2020-10-06) Yeşil, MehmetIn 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.Öğe Fibonacci simetrik sayısal yarıgrupların bir sınıfı(ODTÜ, 2015-06) Süer, Meral; İlhan, SedatÖğe First boundary value problem for cordes-type semilinear parabolic equation with discontinuous coefficients(Hindawi, 2020-06-19) Harman, Aziz; Harman, EzgiFor 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.Öğe Fixed point theorems for some multi-valued contraction mappings defined in partial Hausdorff metric spaces(2020-10-15) Bozkurt, HacerIn this paper, we give some fixed point theorems for satisfying different contractive conditions on complete partial Hausdorff metric spaces. Also, we prove some fixed point theorems for two operators that do not necessarily commute with each other to have a common fixed point as in metric spaces. We also state an example in support of our conclusions.