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Geodesics And Natural Complex Magnetic Trajectories On Tangent Bundles, Mohamed Tahar Kadaoui Abbassi, Noura Amri
Geodesics And Natural Complex Magnetic Trajectories On Tangent Bundles, Mohamed Tahar Kadaoui Abbassi, Noura Amri
Turkish Journal of Mathematics
In this paper, we investigate geodesics of the tangent bundle $TM$ of a Riemannian manifold $(M,g)$ endowed with an arbitrary pseudo-Riemannian $g$-natural metric of Kaluza-Klein type. Then considering a class of naturally defined almost complex structures on $TM$, constructed by V. Oproiu, we construct a class of magnetic fields and we characterize the corresponding magnetic curves on $TM$, when $(M,g)$ is a space form.
Curves And Stick Figures Not Contained In A Hypersurface Of A Given Degree, Edoardo Ballico
Curves And Stick Figures Not Contained In A Hypersurface Of A Given Degree, Edoardo Ballico
Turkish Journal of Mathematics
A stick figure $X\subset \mathbb{P}^r$ is a nodal curve whose irreducible components are lines. For fixed integers $r\ge 3$, $s\ge 2$ and $d$ we study the maximal arithmetic genus of a connected stick figure (or any reduced and connected curve) $X\subset \mathbb{P}^r$ such that $\deg (X)=d$ and $h^0(\mathcal{I}_X(s-1))=0$. We consider Halphen's problem of obtaining all arithmetic genera below the maximal one.
Contiguity Distance Between Simplicial Maps, Ayşe Borat, Mehmetci̇k Pamuk, Tane Vergi̇li̇
Contiguity Distance Between Simplicial Maps, Ayşe Borat, Mehmetci̇k Pamuk, Tane Vergi̇li̇
Turkish Journal of Mathematics
For simplicial complexes and simplicial maps, the notion of being in the same contiguity class is defined as the discrete version of homotopy. In this paper, we study the contiguity distance, $SD$, between two simplicial maps adapted from the homotopic distance. In particular, we show that simplicial versions of $LS$-category and topological complexity are particular cases of this more general notion. Moreover, we present the behaviour of $SD$ under the barycentric subdivision, and its relation with strong collapsibility of a simplicial complex.
On The Hilbert Series Of The Tangent Cones For Some 4-Generated Pseudosymmetric Monomial Curves, Ni̇l Şahi̇n
On The Hilbert Series Of The Tangent Cones For Some 4-Generated Pseudosymmetric Monomial Curves, Ni̇l Şahi̇n
Turkish Journal of Mathematics
In this article, we study Hilbert series of non-Cohen-Maculay tangent cones for some 4-generated pseudosymmetric monomial curves. We show that the Hilbert function is nondecreasing by explicitly computing it. We also compute standard bases of these toric ideals.
Scattering Solutions And Scattering Function Of A Klein-Gordon S-Wave Equation With Jump Conditions, Hali̇t Taş, Yelda Aygar Küçükevci̇li̇oğlu, Elgi̇z Bayram
Scattering Solutions And Scattering Function Of A Klein-Gordon S-Wave Equation With Jump Conditions, Hali̇t Taş, Yelda Aygar Küçükevci̇li̇oğlu, Elgi̇z Bayram
Turkish Journal of Mathematics
In this work, we are interested in a boundary value problem (BVP) generated by a Klein -Gordon equation (KG) with Jump conditions and a boundary condition. First, we introduce scattering solutions and Jost solution of the problem. Then, we give the scattering function and we prove some properties of it. Lastly, we conclude the paper by a special example.
Numerical Solutions Of Differential Equations Having Cubic Nonlinearity Using Boole Collocation Method, Kübra Erdem Bi̇çer, Hale Gül Dağ
Numerical Solutions Of Differential Equations Having Cubic Nonlinearity Using Boole Collocation Method, Kübra Erdem Bi̇çer, Hale Gül Dağ
Turkish Journal of Mathematics
The aim of the study is to develop a numerical method for the solution of cubic nonlinear differential equations in which the numerical solution is based on Boole polynomials. That solution is in the form of the truncated series and gives approximate solution for nonlinear equations of cubic type. In this method, firstly, the matrix form of the serial solution is set and the nonlinear differential equation is converted into a matrix equation system. By adding the effect of both the conditions of the problem and the collocation points to this system of equations, we obtain the new system of …
Metrical Almost Periodicity, Metrical Approximations Of Functions And Applications, Belkacem Chaouchi, Marko Kostic, Daniel Velinov
Metrical Almost Periodicity, Metrical Approximations Of Functions And Applications, Belkacem Chaouchi, Marko Kostic, Daniel Velinov
Turkish Journal of Mathematics
In this paper, we analyze Levitan and Bebutov metrical approximations of functions $F :\Lambda \times X \rightarrow Y$ by trigonometric polynomials and $\rho$-periodic type functions, where $\emptyset \neq \Lambda \subseteq {\mathbb R}^{n}$, $X$ and $Y$ are complex Banach spaces, and $\rho$ is a general binary relation on $Y$. We also analyze various classes of multidimensional Levitan almost periodic functions in general metric and multidimensional Bebutov uniformly recurrent functions in general metric. We provide several applications of our theoretical results to the abstract Volterra integro-differential equations and the partial differential equations.
Clairaut Riemannian Maps, Kiran Meena, Akhilesh Yadav
Clairaut Riemannian Maps, Kiran Meena, Akhilesh Yadav
Turkish Journal of Mathematics
In this paper, first we define Clairaut Riemannian map between Riemannian manifolds by using a geodesic curve on the base space and find necessary and sufficient conditions for a Riemannian map to be Clairaut with a nontrivial example. We also obtain necessary and sufficient condition for a Clairaut Riemannian map to be harmonic. Thereafter, we study Clairaut Riemannian map from Riemannian manifold to Ricci soliton with a nontrivial example. We obtain scalar curvatures of $rangeF_\ast$ and $(rangeF_\ast)^\bot$ by using Ricci soliton. Further, we obtain necessary conditions for the leaves of $rangeF_\ast$ to be almost Ricci soliton and Einstein. We also …
Lyapunov-Type Inequalities For $(\Mathtt{N},\Mathtt{P})$-Type Nonlinear Fractional Boundary Value Problems, Paul W. Eloe, Muralee Bala Krushna Boddu
Lyapunov-Type Inequalities For $(\Mathtt{N},\Mathtt{P})$-Type Nonlinear Fractional Boundary Value Problems, Paul W. Eloe, Muralee Bala Krushna Boddu
Turkish Journal of Mathematics
This paper establishes Lyapunov-type inequalities for a family of two-point $(\mathtt{n},\mathtt{p})$-type boundary value problems for Riemann-Liouville fractional differential equations. To demonstrate how the findings can be applied, we provide a few examples, one of which is a fractional differential equation with delay.
Generating Functions For Reciprocal Catalan-Type Sums: Approach To Linear Differentiation Equation And ($P$-Adic) Integral Equations, Damla Gün, Yilmaz Şi̇mşek
Generating Functions For Reciprocal Catalan-Type Sums: Approach To Linear Differentiation Equation And ($P$-Adic) Integral Equations, Damla Gün, Yilmaz Şi̇mşek
Turkish Journal of Mathematics
This article is inspired by the reciprocal Catalan sums associated with problem 11765, proposed by David Beckwith and Sag Harbor. For this reason, partial derivative equations, the first-order linear differentiation equation and integral representations for series and generating functions for reciprocal Catalan-type sums containing the Catalan-type numbers are constructed. Some special values of these series and generating functions, which are given solutions of problem 11765, are found. Partial derivative equations of the generating function for the Catalan-type numbers are given. By using these equations, recurrence relations and derivative formulas involving these numbers are found. Finally, applying the $p$-adic Volkenborn integral …
Closure Operators, Irreducibility, Urysohn's Lemma, And Tietze Extension Theorem For Proximity Spaces, Samed Özkan, Muammer Kula, Sümeyye Kula, Tesni̇m Meryem Baran
Closure Operators, Irreducibility, Urysohn's Lemma, And Tietze Extension Theorem For Proximity Spaces, Samed Özkan, Muammer Kula, Sümeyye Kula, Tesni̇m Meryem Baran
Turkish Journal of Mathematics
In this paper, we introduce two notions of closure in the category of proximity spaces which satisfy (weak) hereditariness, productivity, and idempotency, and we characterize each of $T_{i}, i=0,1,2$, proximity spaces by using these closure operators and show how these subcategories are related. Furthermore, we characterize the irreducible proximity spaces and investigate the relationship among each of irreducible, connected and $T_{i}, i=1,2$, proximity spaces. Finally, we present Tietze extension theorem and Urysohn's lemma for proximity spaces.
Unipotence In Positive Characteristic For Groups Of Finite Morley Rank, Jules Gael Tindzogho Ntsiri
Unipotence In Positive Characteristic For Groups Of Finite Morley Rank, Jules Gael Tindzogho Ntsiri
Turkish Journal of Mathematics
In this article we define a new form of unipotence in groups of finite Morley rank which extends Burdges unipotence to any characteristic. In particular, we show that every connected solvable group of finite Morley rank $G$ has a definable connected subgroup $H$ whose derived subgroup $H'$ is a good unipotent subgroup of finite Morley rank.
Effect Of Fractional Analysis On Some Special Curves, Aykut Has, Beyhan Yilmaz
Effect Of Fractional Analysis On Some Special Curves, Aykut Has, Beyhan Yilmaz
Turkish Journal of Mathematics
In this study, the effect of fractional derivatives, whose application area is increasing day by day, on curves is investigated. As it is known, there are not many studies on a geometric interpretation of fractional calculus. When examining the effect of fractional analysis on a curve, the Caputo fractional analysis that fits the algebraic structure of differential geometry is used. This is because the Caputo fractional derivative of the constant function is zero. This is an important advantage and allows a variety of fractional physical problems to be based on a geometric basis. This effect is examined with the help …
Boundary Value Problem For A Loaded Fractional Diffusion Equation, Arsen V. Pskhu, Murat I. Ramazanov, Minzilya Kosmakova
Boundary Value Problem For A Loaded Fractional Diffusion Equation, Arsen V. Pskhu, Murat I. Ramazanov, Minzilya Kosmakova
Turkish Journal of Mathematics
In this paper we consider a boundary value problem for a loaded fractional diffusion equation. The loaded term has the form of the Riemann-Liouville fractional derivative or integral. The BVP is considered in the open right upper quadrant. The problem is reduced to an integral equation that, in some cases, belongs to the pseudo-Volterra type, and its solvability depends on the order of differentiation in the loaded term and the behavior of the support line of the load in a neighborhood of the origin. All these cases are considered. In particular, we establish sufficient conditions for the unique solvability of …
Foraminiferal Micropaleontology Of The Harami Formation (Elazığ, Eastern Turkey), And Reassessment Of Its Age Based On Larger Benthic Foraminifera, Si̇bel Kayğili
Turkish Journal of Earth Sciences
The age and depositional environment of the Harami Formation were reevaluated based on the new larger benthic foraminiferal (LBF) data. LBF assemblage including Orbitoides medius (d'Archiac), O. megaloformis Papp and Küpper, O. gruenbachensis Papp, Pseudomphalocyclus blumenthali Meriç, Omphalocyclus macroporus (Lamarck), Sirtina cf. orbitoidiformis Brönnimann and Wirz, Hellenocyclina beotica Reichel, Lepidorbitoides campaniensis Van Gorsel, L. bisambergensis (Jaeger), L. cf. minor (Schlumberger), Pseudosiderolites vidali (Douville), and Siderolites gr. calcitrapoides Lamarck were determined in the formation. Based on this LBF assemblage data, the late Campanian-Maastrichtian age was assigned to the formation. The paleontological and sedimentological data indicate that the Harami Formation was deposited …
Update For Reactive Transport Modeling Of The Kızıldere Geothermal Field To Reduce Uncertainties In The Early Inspections, Selçuk Erol, Taylan Akin, Serhat Akin
Update For Reactive Transport Modeling Of The Kızıldere Geothermal Field To Reduce Uncertainties In The Early Inspections, Selçuk Erol, Taylan Akin, Serhat Akin
Turkish Journal of Earth Sciences
The development of carbon capture and storage techniques has become essential to reduce and mitigating CO2 emissions to the atmosphere. CarbFix1 and CarbFix2 projects carried out in Iceland demonstrated that the emissions of waste CO2 gas from geothermal power plants can be captured and mixed with the effluent geofluid and subsequently injected back into the geothermal reservoir. This experience gained in the CarbFix projects expanded into other geothermal fields around Europe, and one of the demonstration sites is the geothermal field in Turkey, Kızıldere. This paper focuses on the results of an updated study on early field evaluations with reactive …
New Triassic Finding In Andız Peninsula (İzmir, Western Turkey) And Comparison Of Pre-Neogene Sequences Of Andız And Karaburun Peninsulas: Stratigraphic And Tectonic Implications, İsmai̇l İşi̇ntek
Turkish Journal of Earth Sciences
This study aims to review the geology of the Andız Peninsula and compare the pre-Neogene Andız succession with the middle part of the Karaburun Peninsula to discuss the nature of the Paleozoic-Mesozoic boundary in the Karaburun Peninsula. The pre-Neogene units of the Andız Peninsula are represented by the Paleozoic Dikendağı, Triassic Gu?vercinlik, and Jurassic Nohutalan Formations. In this study, the Triassic carbonate rocks in the Andız Peninsula are paleontologically defined for the first time. The Megalodont-bearing Gu?vercinlik Formation contains a late Norian-Rhaetian characteristic foraminiferal assemblage consisting of Aulotortus gr. sinuosus, A. tenuis, A. friedli, A. impressus, and Triasina hantkeni. The …
Relationship Of Petrographic And Mineralogical Characteristics With Mechanical Strength Properties Of Granitic Rocks: A Case Study From The Biga Peninsula, Nw Turkey, Güven Eroğlu, Ayten Çalik
Relationship Of Petrographic And Mineralogical Characteristics With Mechanical Strength Properties Of Granitic Rocks: A Case Study From The Biga Peninsula, Nw Turkey, Güven Eroğlu, Ayten Çalik
Turkish Journal of Earth Sciences
This study was carried out on granitic rocks from the Biga Peninsula in order to investigate petrographic, and mineralogical properties in comparison with mechanical strength properties. This study was conducted in four different locations where granitic rocks outcrop from north to south in the Biga Peninsula: Lapseki (Şevketiye granite), Ezine (Kestanbol granite), Bayramiç (Yassıbağ granite), and Edremit (Eybek granite). Field observations and detailed petrographic studies of representative samples indicate that they are quartz monzodiorite (Şevketiye and Yassıbağ), quartz monzonite (Kestanbol), and granodiorite (Eybek) in composition. All the rocks have similar mineral composition, comprising mainly feldspar (plagioclase-alkali feldspar), quartz, mafic minerals …
Characterizations Of The Commutators Involving Idempotents In Certain Subrings Of $M_{2}(\Mathbb{Z})$, Tufan Özdi̇n, Günseli̇ Gümüşel
Characterizations Of The Commutators Involving Idempotents In Certain Subrings Of $M_{2}(\Mathbb{Z})$, Tufan Özdi̇n, Günseli̇ Gümüşel
Turkish Journal of Mathematics
In this paper, we characterize the idempotency, cleanness, and unit-regularity of the commutator $[E_1, E_2]=E_1E_2-E_2E_1$ involving idempotents $E_1,E_2$ in certain subrings of $M_{2}(\mathbb{Z})$.
Calcareous Nannofossils, Planktonic Foraminifera, And Revised Stratigraphy Of The Eocene Çayraz Formation; The Final Stage Of Marine Sedimentation In Central Anatolia, Turkey, Ali̇ Osman Yücel, Ercan Özcan, Rita Catanzariti, Aynur Hakyemez, Aral Okay, Tahsi̇n Atti̇la Çi̇ner, Ali̇ Akin
Calcareous Nannofossils, Planktonic Foraminifera, And Revised Stratigraphy Of The Eocene Çayraz Formation; The Final Stage Of Marine Sedimentation In Central Anatolia, Turkey, Ali̇ Osman Yücel, Ercan Özcan, Rita Catanzariti, Aynur Hakyemez, Aral Okay, Tahsi̇n Atti̇la Çi̇ner, Ali̇ Akin
Turkish Journal of Earth Sciences
New field observations and discovery of calcareous nannofossils and planktonic foraminifera from the 'shallow-marine' Çayraz Formation (Haymana Basin, Central Anatolia), a contributing Eocene section to the shallow benthic zonation (SBZ) in the Tethys, allow us to revise its stratigraphy and establish an integrated biostratigraphic scheme for the first time. The hemipelagic marls in the uppermost part of the Eskipolatlı Formation that underlies the Çayraz Formation yielded nannofossil assemblages of Zone CNE3, pinning down the initiation of the Çayraz shelf system into the 'middle' Ypresian. The prominent marly part (Member B) between the carbonate-clastic packages of the Çayraz Formation with prolific …
Fired Shards From Selected Ancient Anatolian Ceramics: A Brief Review Of Their Mineralogical Nature And Pedological?Microstructural Evolution, Seli̇m Kapur, Selahatti̇n Kadi̇r, Gilbert Kelling, Erhan Akça, Mustafa Topaksu, Necdet Sakarya, Zehra Yeği̇ngi̇l, Muhsi̇n Eren, Ewart Adsil Fitzpatrick
Fired Shards From Selected Ancient Anatolian Ceramics: A Brief Review Of Their Mineralogical Nature And Pedological?Microstructural Evolution, Seli̇m Kapur, Selahatti̇n Kadi̇r, Gilbert Kelling, Erhan Akça, Mustafa Topaksu, Necdet Sakarya, Zehra Yeği̇ngi̇l, Muhsi̇n Eren, Ewart Adsil Fitzpatrick
Turkish Journal of Earth Sciences
This review is concerned with some key features observed within grouped samples of ancient ceramics that provide important evidence concerning the selection of appropriate raw materials and the evolution of the firing technologies employed in their production. It also demonstrates the importance of distinguishing and accounting for the mineralogical and microstructural attributes and identifying the processes responsible for the microstructural evolution of these ancient ceramics. The mineralogy largely reflects both the nature of the raw materials used and the maximum temperatures achieved during firing, deduced from the presence of specific high temperature minerals (HTMs). The microstructural evolution processes, deduced by …
On The Frobenius Norm Of Commutator Of Cauchy-Toeplitz Matrix And Exchange Matrix, Süleyman Solak, Mustafa Bahşi̇
On The Frobenius Norm Of Commutator Of Cauchy-Toeplitz Matrix And Exchange Matrix, Süleyman Solak, Mustafa Bahşi̇
Turkish Journal of Mathematics
Matrix commutator and anticommutator play an important role in mathematics, mathematical physic, and quantum physic. The commutator and anticommutator of two $n\times n$ complex matrices $A$ and $B$ are defined by $\left[ A,B% \right] =AB-BA$ and $\left( A,B\right) =AB+BA$, respectively. Cauchy-Toeplitz matrix and exchange matrix are two of the special matrices and they have excellent properties. In this study, we mainly focus on Frobenius norm of the commutator of Cauchy-Toeplitz matrix and exchange matrix. Moreover, we give upper and lower bounds for the Frobenius norm of the commutator of Cauchy-Toeplitz matrix and exchange matrix.
What Can Lattices Do For Hypersemigroups?, Niovi Kehayopulu
What Can Lattices Do For Hypersemigroups?, Niovi Kehayopulu
Turkish Journal of Mathematics
This is from Birkhoff, the "father of lattice theory" in Trends in Lattice Theory. Van Nostrand 1970: "Lattices can do things for you, no matter what kind of mathematician you are!". The aim of this paper is to show that the $le$-semigroups (lattice ordered semigroups possessing a greatest element) play the main role in studying the ordered hypersemigroups. From many results on lattice ordered semigroups corresponding results on ordered semigroups can be obtained. The converse is also possible but the beauty and simplicity of "order" makes it easier to investigate the lattice ordered semigroup at first. After getting the results …
Boundedness Of Bergman Projections Acting On Weighted Mixed Norm Spaces, Ivana Savkovic
Boundedness Of Bergman Projections Acting On Weighted Mixed Norm Spaces, Ivana Savkovic
Turkish Journal of Mathematics
We prove that Bergman projections on weighted mixed norm spaces on smoothly bounded domains in $\mathbb{R}^n$ are bounded for a certain range of parameters of such spaces and assuming certain conditions on weights. The proof relies on estimates of integral means of $M_p(P_\gamma f, r)$ in terms of integral means of $f$. This result complements earlier result on boundedness of $P_\gamma$ on a closely related space $L^{p,q}_\alpha(\Omega).$
Between Graphical Zonotope And Graph-Associahedron, Marko Pesovic, Tanja Stojadinovic
Between Graphical Zonotope And Graph-Associahedron, Marko Pesovic, Tanja Stojadinovic
Turkish Journal of Mathematics
This manuscript introduces a finite collection of generalized permutohedra associated to a simple graph. The first polytope of this collection is the graphical zonotope of the graph, and the last is the graph-associahedron associated to it. We describe the weighted integer points enumerators for polytopes in this collection as Hopf algebra morphisms of combinatorial Hopf algebras of decorated graphs. In the last section, we study some properties related to $\mathcal{H}$-polytopes.
Micropaleontological Findings And Absolute Ages Mark The Termination Of The Last Glacial Maximum In The Eastern Mediterranean Region: New Electron Spin Resonance Data From Gediz Delta (Western Turkey), Eki̇n Gökçe Benli̇, Hülya Aslin, İsmai̇l İşi̇ntek, Bi̇rol Engi̇n, Berna Şengöçmen Geçki̇n
Micropaleontological Findings And Absolute Ages Mark The Termination Of The Last Glacial Maximum In The Eastern Mediterranean Region: New Electron Spin Resonance Data From Gediz Delta (Western Turkey), Eki̇n Gökçe Benli̇, Hülya Aslin, İsmai̇l İşi̇ntek, Bi̇rol Engi̇n, Berna Şengöçmen Geçki̇n
Turkish Journal of Earth Sciences
Sediments and fossil content of Gediz Delta (Eastern Aegean Sea-İzmir) were examined from the samples collected from three drilling cores from the west (seaward) to east (landward) of the delta. Each drilling core contains Quarternary marine deposits with a marine fauna of foraminifers, bivalves, gastropods, echinoids, and ostracods at the bottom and Quaternary continental delta deposits at the top. According to our Electron Spin Resonance (ESR) age model marine sediments of the Aegean Sea started to cover the western Gediz Delta area before 19.9 ka (thousand years). Following the Last Glacial Maximum (LGM), after the transgression due to deglaciation occurred …
Some Estimates On The Exponential Stability Of Solutions Of Nonlinear Neutral Type Systems With Periodic Coefficients, Yener Altun
Some Estimates On The Exponential Stability Of Solutions Of Nonlinear Neutral Type Systems With Periodic Coefficients, Yener Altun
Turkish Journal of Mathematics
In this present study, we pay attention to a class of nonlinear neutral type systems (NNSs) with periodic coefficients and construct some assumptions guaranteeing the exponential stability (ES) of the trivial solutions of the system considered. To get specific conditions guaranteeing the ES, we use a modified Lyapunov functional. In conclusion, we get some estimates for the exponential decay of the solutions at infinity with the constructed sufficient conditions. We give two examples to demonstrate the applicability of the results obtained with the constructed assumptions.
Development And Validation Of A Scale For Measuring Pet Owners' Loyalty To Their Pet*, Seda Çavuş Alan, Abdullah Özen, Nurhan Hali̇sdemi̇r
Development And Validation Of A Scale For Measuring Pet Owners' Loyalty To Their Pet*, Seda Çavuş Alan, Abdullah Özen, Nurhan Hali̇sdemi̇r
Turkish Journal of Veterinary & Animal Sciences
Loyalty is a person's willingness to devote oneself to a cause and consists of concepts such as fidelity, not giving up, continuity, and stability. For this reason, this relationship stems from loyalty to be able to talk about a strong attachment between humans and animals. This study aimed to develop a measurement tool for the evaluation of the loyalty levels of people toward their pets. The qualitative method for determining the judgments in the scale will be called the pet loyalty scale; the quantitative methods (explanatory factor analysis and confirmatory factor analysis) were used to determine the validity and reliability …
Synthesis And Characterization Of Nicr$_{2}$O$_{3}$- Ceo$_{2nrs}$ Anode Electrocatalyst For Ethanol Electrooxidation Reaction In Alkaline Media, Emi̇ne Sena Kazan, Mahmut Rahi̇m Bayramoğlu
Synthesis And Characterization Of Nicr$_{2}$O$_{3}$- Ceo$_{2nrs}$ Anode Electrocatalyst For Ethanol Electrooxidation Reaction In Alkaline Media, Emi̇ne Sena Kazan, Mahmut Rahi̇m Bayramoğlu
Turkish Journal of Chemistry
In this paper, ceria (CeO$_{2}$) nanorod (NR) supported Ni-Cr$_{2}$O$_{3}$ anode electrocatalysts were synthesized as nonnoble metalbased anode electrocatalysts for ethanol electrooxidation reaction (EOR) in alkaline media. Physicochemical characterization of the electrocatalysts was investigated by XRD, SEM, and TEM techniques. Electrochemical performances of the catalysts were investigated via cyclic voltammetry (CV), linear sweep voltammetry (LSV), and chronoamperometry (CA) techniques. The data from linear LSV were used for the diffusion coefficient of the electrocatalysts. The CA experiments' results showed the tolerance for catalytic poisoning and durability of the synthesized electrocatalysts.