WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection
Permanent URI for this collectionhttps://hdl.handle.net/11147/7150
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Article Whitham–Broer–Kaup Systems in Multi-Dimensions: Quantum and Resonant NLS Connections(World Scientific Publ Co Pte Ltd, 2025) Pashaev, Oktay; Rogers, Colin; 01. Izmir Institute of Technology; 04.02. Department of Mathematics; 04. Faculty of ScienceAn overview is presented of quantum and resonant nonlinear Schro<spacing diaeresis>dinger equation links to Whitham-Broer-Kaup type systems. A novel n + 1 dimensional extension of the Whitham-Broer-Kaup hydrodynamic system is constructed with connection to an equivalent multi-dimensional resonant NLS equation. Hybrid Ermakov-Painleve II and associated Painleve XXXIV integrable similarity reductions are derived.Article Projectivity and Quasi-Projectivity With Respect To Epimorphisms To Simple Modules(World Scientific Publ Co Pte Ltd, 2025) Alagoz, Yusuf; Alagöz, Yusuf; Alizade, Rafail; Büyükaşık, Engin; Buyukasik, Engin; Alizade, Rafail; 04.02. Department of Mathematics; 01. Izmir Institute of Technology; 04. Faculty of ScienceUsing the notion of relative max-projectivity, max-projectivity domain of a module is investigated. Such a domain includes the class of all modules whose maximal submodules are direct summands (this class denoted as MDMod -R). We call a module max-p-poor if its max-projectivity domain is exactly the class MDMod -R. We establish the existence of max-p-poor modules over any ring. Furthermore, we study commutative rings whose simple modules are projective or max-p-poor. Additionally, we determine the right Noetherian rings for which all right modules are projective or p-poor. Max-p-poor abelian groups are fully characterized and shown to coincide precisely with p-poor abelian groups. We also further investigate modules that are max-projective relative to themselves, which are known as simple-quasi-projective modules. Several properties of these modules are provided, and the structure of certain classes of simple-quasi-projective modules is determined over specific commutative rings including the ring of integers and valuation domains.Article Citation - WoS: 5Citation - Scopus: 6Hydrocolloids for Tissue Engineering and 3d Bioprinting(World Scientific Publ Co Pte Ltd, 2024) Yildirim-Semerci, Ozum; Arslan Yıldız, Ahu; Bilginer-Kartal, Rumeysa; Arslan-Yildiz, Ahu; 01. Izmir Institute of Technology; 03. Faculty of Engineering; 03.01. Department of BioengineeringHydrocolloids, derived from plants, marine, and microbial sources, have become research favorites due to their unique properties. This article provides an overview of the extraction methods, from chemical to enzymatic, to obtain hydrocolloids. Distinctive properties of hydrocolloids, such as high swelling capacity, tunable features, and rapid gelation ability, have gained significant attention recently and have started to be used in tissue engineering and 3D bioprinting. Hydrocolloids will play substantial roles in advancing biomedical products and contributing to improving human health.Article An Efficient Chebyshev Wavelet Collocation Technique for the Time-Fractional Camassa-Holm Equation(World Scientific Publ Co Pte Ltd, 2025) Aghazadeh, Nasser; Aghazadeh, Nasser; 04.02. Department of Mathematics; 04. Faculty of Science; 01. Izmir Institute of TechnologyBy employing the third-order Chebyshev collocation technique along with relevant wavelets, we tackle a third-order singular fractional partial differential equation (PDE). We directly build the Chebyshev operation matrix of the third kind, avoiding the use of the block-pulse function or any approximations. To reduce the order of equation in this approach, we transform the higher-order PDEs into a system of PDEs. Next, we utilize the third-kind Chebyshev wavelet collocation method to convert the resulting system from the prior step into a set of algebraic equations. To demonstrate the method's effectiveness, we apply it to the time-fractional Camassa-Holm equation and a third-order time-singular PDE. The outcomes are compared with those from several established methods to illustrate the method's efficiency and practicality.Article Virtually Regular Modules(World Scientific Publ Co Pte Ltd, 2025) Buyukasik, Engin; Büyükaşık, Engin; Demir, Ozlem Irmak; 04.02. Department of Mathematics; 04. Faculty of Science; 01. Izmir Institute of TechnologyIn this paper, we call a right module M (strongly) virtually regular if every (finitely generated) cyclic submodule of M is isomorphic to a direct summand of M. M is said to be completely virtually regular if every submodule of M is virtually regular. In this paper, characterizations and some closure properties of the aforementioned modules are given. Several structure results are obtained over commutative rings. In particular, the structures of finitely presented (strongly) virtually regular modules and completely virtually regular modules are fully determined over valuation domains. Namely, for a valuation domain R with the unique nonzero maximal ideal P, we show that finitely presented (strongly) virtually regular modules are free if and only if P is not principal; and that P = Rp is principal if and only if finitely presented virtually regular modules are of the form R-n circle plus (R/Rp)(n)(1) circle plus (R/Rp(2))(n)(2) circle plus center dot center dot center dot circle plus (R/Rp(k))(n)(k) for nonnegative integers n, k, n(1), n(2),...,n(k). Similarly, we prove that P = Rp is principal if and only if finitely presented strongly virtually regular modules are of the form R-n circle plus (R/Rp)(m), where m,n are nonnegative integers. We also obtain that, R admits a nonzero finitely presented completely virtually regular module M if and only if P = Rp is principal. Moreover, for a finitely presented R-module M, we prove that: (i) if R is not a DVR, then M is completely virtually regular if and only if M congruent to( R/Rp)(m); and (ii) if R is a DVR, then M is completely virtually regular if and only if M congruent to R-n circle plus ( R/Rp)(m). Finally, we obtain a characterization of finitely generated virtually regular modules over the ring of integers.Article On the Rings Whose Injective Right Modules Are Max-Projective(World Scientific Publ Co Pte Ltd, 2024) Alagoz, Yusuf; Büyükaşık, Engin; Buyukasik, Engin; Alagöz, Yusuf; Yurtsever, Haydar Baran; 01. Izmir Institute of Technology; 04.02. Department of Mathematics; 04. Faculty of ScienceRecently, right almost-QF (respectively, max-QF) rings that is the rings whose injective right modules are R-projective (respectively, max-projective) were studied by the first two authors. In this paper, our aim is to give some further characterizations of these rings over more general classes of rings, and address several questions about these rings. We obtain characterizations of max-QF rings over several classes of rings including local, semilocal right semihereditary, right non-singular right Noetherian and right non-singular right finite dimensional rings. We prove that for a ring R being right almost-QF and right max-QF are not left-right symmetric. We also show that right almost-QF and right max-QF rings are not closed under factor rings. This leads us to consider the rings all of whose factor rings are almost-QF and max-QF.Article Citation - WoS: 4Citation - Scopus: 4The Bell-Based Super-Coherent States: Uncertainty Relations, Golden Ratio and Fermion-Boson Entanglement(World Scientific Publ Co Pte Ltd, 2024) Pashaev, Oktay; Kocak, Aygul; 04.02. Department of Mathematics; 04. Faculty of Science; 01. Izmir Institute of TechnologyThe set of maximally fermion-boson entangled Bell super-coherent states is introduced. A superposition of these states with separable bosonic coherent states, represented by points on the super-Bloch sphere, we call the Bell-based super-coherent states. Entanglement of bosonic and fermionic degrees of freedom in these states is studied by using displacement bosonic operator. It acts on the super-qubit reference state, representing superposition of the zero and the one super-number states, forming computational basis super-states. We show that the states are completely characterized by displaced Fock states, as a superposition with non-classical, the photon added coherent states, and the entanglement is independent of coherent state parameter alpha alpha and of the time evolution. In contrast to never orthogonal Glauber coherent states, our entangled super-coherent states can be orthogonal. The uncertainty relation in the states is monotonically growing function of the concurrence and for entangled states we get non-classical quadrature squeezing and representation of uncertainty by ratio of two Fibonacci numbers. The sequence of concurrences, and corresponding uncertainties hF(n)/Fn+1, in the limit n ->infinity n ->infinity, convergent to the Golden ratio uncertainty h/phi, where phi=1+root 5/2 is found.Article Citation - WoS: 5Unifying Behavioral and Feature Modeling for Testing of Software Product Lines(World Scientific Publ Co Pte Ltd, 2024) Ufuktepe, Ekincan; Tuğlular, Tuğkan; Belli, Fevzi; 03.04. Department of Computer Engineering; 03. Faculty of Engineering; 01. Izmir Institute of TechnologyExisting software product line (SPL) engineering testing approaches generally provide positive testing that validates the SPL's functionality. Negative testing is commonly neglected. This research aims to unify behavioral and feature models of an SPL, enable testing before and after variability binding for domain-centric and product-centric testing, and combine positive and negative testing for a holistic testing view. This study suggests behavioral modeling with event sequence graphs (ESGs). This heterogeneous modeling strategy supports bottom-up domain testing and top-down product testing with the feature model. This new feature-oriented ESG test creation method generates shorter test sequences than the original ESG optimum test sequences. Statechart and original ESG test-generating methods are compared. Positive testing findings are similar. The Statechart technique generated 12 test cases with 59 events, whereas the ESG technique created six test cases with 60 events. The ESG technique generated 205 negative test cases with 858 events with the Test Suite Designer tool. However, the Conformiq Designer tool for the Statechart technique does not have a negative test case generation capability. It is shown that the proposed ESG-based holistic approach confirms not only the desirable (positive) properties but also the undesirable (negative) ones. As an additional research, the traditional ESG test-generating approach is compared to the new feature-oriented method on six SPLs of different sizes and features. Our case study results show that the traditional ESG test generation approach demonstrated higher positive test generation scores compare to the proposed feature-oriented test generation approach. However, our proposed feature-oriented test generation approach is capable of generating shorter test sequences, which could be beneficial for reducing the execution time of test cases compared to traditional ESG approach. Finally, our case study has also shown that regardless of the test generation approach, there has been found no significant difference between the Bottom-up and Top-down test strategies with respect to their positive test generation scores.Article Citation - WoS: 1Citation - Scopus: 1Green Synthesis of Silver Nanoparticles Using Plant Extract Blends and Its Impact on Antibacterial and Biological Activity(World Scientific Publ Co Pte Ltd, 2024) Ozturk, Selin Naz; Tomak, Aysel; Tomak, Aysel; Öksel Karakuş, Ceyda; Karakus, Ceyda Oksel; 03.01. Department of Bioengineering; 03. Faculty of Engineering; 01. Izmir Institute of TechnologyThere is a strong interest in using green resources for synthesizing nanoparticles (NPs) of industrial and biomedical utility in a way to maintain desired material properties throughout use while not inducing any harmful effects. The use of various plant extracts as reducing, capping, or stabilizing agents is widely attempted in green nanotechnology. However, very little has been explored about incorporating plant extract blends into green NP synthesis routes. Here, we used the combination of tea and olive leaf extracts for the synthesis of silver NPs and evaluated the advantages it provided over both chemical and single-plant-mediated synthesis routes. Four different reducing agents (tannic acid, black tea leaves extract, olive leaves extract and their blend) were used to synthesize silver NPs (Ag NP) from silver nitrate (AgNO3). The synthesized Ag NP was characterized by scanning electron microscopy (SEM), dynamic light scattering (DLS), and ultraviolet-visible (US-Vis) spectroscopy. The antimicrobial properties of Ag NP were assessed against Escherichia coli (E. Coli) and Staphylococcus aureus (S. Aureus) using the colony-forming unit (CFU) assay and the minimum inhibitory concentration (MIC) assay. The cytotoxic potential of Ag NP on human colorectal adenocarcinoma (Caco-2) cells was assessed by the WST-1 assay. Results showed that Ag NP synthesized using plant extract mixtures had a primary particle size of 40nm and were very effective antibacterial agents, with the MIC values ranging from 5 mu g/mL to 10 mu g/mL. While the particle size obtained in chemical synthesis was slightly lower, the resultant Ag NP did not serve as an effective antibacterial agents at low doses. Further understanding of how best to integrate extracts of different plants into green NP synthesis routes will enable wider and safer biomedical applications.