Scopus İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651
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Article Citation - WoS: 8Citation - Scopus: 11Novel Diamond Alpha Bennett-Leindler Type Dynamic Inequalities and Their Applications(Springernature, 2022) Kayar, Zeynep; Kaymakcalan, BillurFor the exponent zeta > 1, the diamond alpha Bennett-Leindler type inequalities are established by developing two methods, one of which is based on the convex linear combinations of the related delta and nabla inequalities, while the other one is new and is implemented by using time scale calculus rather than algebra. These inequalities can be considered as the complementary to the classical ones obtained for 0 < zeta < 1. Since both methods provide different diamond alpha Bennett-Leindler type inequalities, we can obtain various diamond alpha unifications of the known delta and nabla BennettLeindler type inequalities. Moreover, the second method offers new Bennett-Leindler type inequalities even for the special cases such as delta and nabla ones. Moreover, an application of dynamic Bennett-Leindler type inequalities to the oscillation theory of the second-order half linear dynamic equation is developed and presented for the first time ever.Article On the Maximal Subspaces of Discrete Hamiltonian Systems(Springernature, 2024) Bairamov, Elgiz; Ugurlu, EkinIn this paper, we consider a discrete Hamiltonian system on nonnegative integers, and using Sylvester's inertia indices theory, we construct maximal subspaces on which the Hermitian form has a certain sign. After constructing nested ellipsoids, we introduce a lower bound for the number of linearly independent summable-square solutions of the discrete equation. Finally, we provide a limit-point criterion.Article Citation - WoS: 8Citation - Scopus: 8On Some Even-Sequential Fractional Boundary-Value Problems(Springernature, 2024) Ugurlu, EkinIn this paper we provide a way to handle some symmetric fractional boundary-value problems. Indeed, first, we consider some system of fractional equations. We introduce the existence and uniqueness of solutions of the systems of equations and we show that they are entire functions of the spectral parameter. In particular, we show that the solutions are at most of order 1/2. Moreover we share the integration by parts rule for vector-valued functions that enables us to obtain some symmetric equations. These symmetries allow us to handle 2-sequential and 4-sequential fractional boundary-value problems. We provide some expansion formulas for the bilinear forms of the solutions of 2-sequential and 4-sequential fractional equations which admit us to impose some unusual boundary conditions for the solutions of fractional differential equations. We show that the systems of eigenfunctions of 2-sequential and 4-sequential fractional boundary value problems are complete in both energy and mean. Furthermore, we study on the zeros of solutions of 2-sequential fractional differential equations. At the end of the paper we show that 6-sequential fractional differential equation can also be handled as a system of equations and hence almost all the results obtained in the paper can be carried for such boundary-value problems.Article Citation - WoS: 1Citation - Scopus: 5Functional Delay Random Semilinear Differential Equations(Springernature, 2023) Salim, Abdelkrim; Benchohra, Mouffak; Karapinar, Erdal; Benaissa, AmelIn this paper, we study the existence of integral solutions of a functional differential equation with delay and random effects. We base our arguments on some suitable random fixed point theorem with stochastic domain and the integrated semigroup.Article Citation - WoS: 7Citation - Scopus: 10Some New Results for Ψ - Hilfer Fractional Pantograph-Type Differential Equation Depending on Ψ - Riemann-Liouville Integral(Springernature, 2022) Bouriah, Soufyane; Benchohra, Mouffak; Karapinar, Erdal; Foukrach, DjamalThe aim of the present work is to study a large class of psi-Hilfer fractional differential equation of Pantograph-type depending on psi-Riemann-Liouville fractional integral operator associated with periodic-type fractional integral boundary conditions in a weighted space of continuous functions. We shall prove the existence and uniqueness results by means of Mawhin's coincidence degree theory. At the end, an illustrative example will be constructed to approve our findings.Article Citation - WoS: 10Citation - Scopus: 10Experimental Investigation of Bonding Behavior of Anchoraged Timber-To Joint(Springernature, 2021) Ghoroubi, Rahim; Mercimek, Omer; Sakin, Shaimaa; Anil, OzgurThe comprehensive experimental study examining the general load-displacement behavior, stress distributions and shear stress-shear-displacement behaviors in the connection area when wood structural elements are combined with adhesive or adhesive with mechanical anchorages have been found in very limited number of studies in the literature. Therefore, an experimental study was planned. In this study, the general load-displacement behavior of the timber connection regions which are connected by adhesive and mechanical anchorages together with adhesive, with varying lengths of 180, 240 and 350 mm are investigated experimentally. Besides, the effect of changing the number and location of mechanical anchorages used in the connection area on the general load-displacement behavior and shear stress-shear-displacement behavior was also investigated. Using the load-displacement graphs obtained as a result of the experimental study, a generalized material model is proposed for the shear stress-shear-displacement interfacial adhesion surface for wood-wood junction points. This material model, which is proposed for wood-wood connection points with mechanical anchors, is a model that can be useful and can be used in the analysis of structural systems containing such connections using finite element software. It is thought that the overall capacity and load-displacement behavior of structural systems containing such connection points can be calculated more realistically using the proposed interfacial material model.Article Citation - WoS: 32Citation - Scopus: 33Effect of Cnt Impregnation on the Mechanical and Thermal Properties of C/C-sic Composites(Springernature, 2020) Esen, Ziya; Dericioglu, Arcan F.; Tulbez, SimgeThe present study investigates the effect of additional carbon source, in the form of carbon nanotubes (CNTs), on mechanical and thermal properties of carbon fiber reinforced silicon carbide (C/C-SiC) ceramic matrix composites (CMC) produced by liquid silicon infiltration (LSI) technique. The CNTs used in this study were impregnated into the C/C preforms before the liquid silicon infiltration stage. The results showed that the addition of excess carbon to the C/C preforms in the form of CNTs enhanced Si infiltration efficiency significantly resulting in C/C-SiC composites with higher density and microstructural uniformity. Accordingly, the addition of CNTs improved the flexural strength of the composites by 40% with respect to no-CNT-containing composites due to a lower amount of residual porosity and additional reinforcement effect of the unreacted CNTs. The thermal conductivity of the resulting C/C-SiC composites has been also increased by 31% and 18% parallel and perpendicular to the carbon fiber-woven fabric surface, respectively, by CNT addition.Graphical abstractArticle Citation - WoS: 66Citation - Scopus: 75Some Further Results of the Laplace Transform for Variable-Order Fractional Difference Equations(Springernature, 2019) Wu, Guo-Cheng; Baleanu, DumitruThe Laplace transform is important for exact solutions of linear differential equations and frequency response analysis methods. In comparison with the continuous-time systems, less results can be available for fractional difference equations. This study provides some fundamental results of two kinds of fractional difference equations by use of the Laplace transform. Some discrete Mittag-Leffler functions are defined and their Laplace transforms are given. Furthermore, a class of variable-order and short memory linear fractional difference equations are proposed and the exact solutions are obtained.Article Citation - WoS: 6Citation - Scopus: 7Regular Fifth-Order Boundary Value Problems(Springernature, 2020) Ugurlu, EkinThe main purpose of this paper is to introduce a method to handle some boundary value problems generated by fifth-order formally symmetric differential equation and separated, real-coupled and complex-coupled boundary conditions. Moreover, the continuity properties of the eigenvalues of these problems on some data are studied and some Frechet derivatives of the eigenvalues are introduced.Article Citation - WoS: 4Citation - Scopus: 4Measurement of Para-Xylene Diffusivity in Zeolites and Analyzing Desorption Curves Using the Mittag-Leffler Function(Springernature, 2016) Baleanu, Dumitru; Petras, Ivo; Zaman, Sharif F.The new fractional calculus modeling based on Mittag-Leffler function has been employed to generate a better fit model to analyze the ZLC desorption curves for para-xylene diffusion in ZSM-5 zeolites. The diffusivity values generated herewith at 100, 125 and 150 degrees C are reported as 4.4 x 10(-13), 4.98 x 10(-13) and 5.2 x 10(-13) m(2)/s, respectively. The activation energy for this diffusion process is found 4.2 kJ/mol and diffusion proportional constant (D-0) is 1.85 x 10(-12) m(2)/s. The simplified model for ZLC response can be a better way to treat desorption data in ZLC experiments.