Scopus İndeksli Yayınlar Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651

Browse

Filters

2016 - 201932020 - 202412

Settings

Publisher: search.filters.publisher.Springernature

Search Results

Now showing 1 - 10 of 15
  • Article
    Citation - WoS: 8
    Citation - Scopus: 11
    Novel Diamond Alpha Bennett-Leindler Type Dynamic Inequalities and Their Applications
    (Springernature, 2022) Kayar, Zeynep; Kaymakcalan, Billur
    For 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, Ekin
    In 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: 8
    Citation - Scopus: 8
    On Some Even-Sequential Fractional Boundary-Value Problems
    (Springernature, 2024) Ugurlu, Ekin
    In 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: 6
    Citation - Scopus: 9
    Neutral Functional Sequential Differential Equations With Caputo Fractional Derivative on Time Scales
    (Springernature, 2022) Lazreg, Jamal Eddine; Benkhettou, Nadia; Benchohra, Mouffak; Karapinar, Erdal
    In this paper, we establish the existence and uniqueness of a solution for a class of initial value problems for implicit fractional differential equations with Caputo fractional derivative. The arguments are based upon the Banach contraction principle, the nonlinear alternative of Leray-Schauder type and Krasnoselskii fixed point theorem. As applications, two examples are included to show the applicability of our results.
  • Article
    Citation - WoS: 48
    Citation - Scopus: 50
    Hermite-Hadamard Type Inequalities for Interval-Valued Preinvex Functions Via Fractional Integral Operators
    (Springernature, 2022) Sahoo, Soubhagya Kumar; Mohammed, Pshtiwan Othman; Baleanu, Dumitru; Kodamasingh, Bibhakar; Srivastava, Hari Mohan
    In this article, the notion of interval-valued preinvex functions involving the Riemann-Liouville fractional integral is described. By applying this, some new refinements of the Hermite-Hadamard inequality for the fractional integral operator are presented. Some novel special cases of the presented results are discussed as well. Also, some examples are presented to validate our results. The established outcomes of our article may open another direction for different types of integral inequalities for fractional interval-valued functions, fuzzy interval-valued functions, and their associated optimization problems.
  • Article
    Citation - WoS: 8
    Citation - Scopus: 10
    Numerical Solution of Reaction-Diffusion Equations With Convergence Analysis
    (Springernature, 2023) Ghovatmand, M.; Skandari, M. H. Noori; Baleanu, D.; Heidari, M.
    In this manuscript, we implement a spectral collocation method to find the solution of the reaction-diffusion equation with some initial and boundary conditions. We approximate the solution of equation by using a two-dimensional interpolating polynomial dependent to the Legendre-Gauss-Lobatto collocation points. We fully show that the achieved approximate solutions are convergent to the exact solution when the number of collocation points increases. We demonstrate the capability and efficiency of the method by providing four numerical examples and comparing them with other available methods.
  • Article
    Citation - WoS: 1
    Citation - Scopus: 5
    Functional Delay Random Semilinear Differential Equations
    (Springernature, 2023) Salim, Abdelkrim; Benchohra, Mouffak; Karapinar, Erdal; Benaissa, Amel
    In 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: 7
    Citation - Scopus: 10
    Some 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, Djamal
    The 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: 10
    Citation - Scopus: 10
    Experimental Investigation of Bonding Behavior of Anchoraged Timber-To Joint
    (Springernature, 2021) Ghoroubi, Rahim; Mercimek, Omer; Sakin, Shaimaa; Anil, Ozgur
    The 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: 33
    Citation - Scopus: 33
    A General Fractional Pollution Model for Lakes
    (Springernature, 2022) Baleanu, Dumitru; Shiri, Babak
    A model for the amount of pollution in lakes connected with some rivers is introduced. In this model, it is supposed the density of pollution in a lake has memory. The model leads to a system of fractional differential equations. This system is transformed into a system of Volterra integral equations with memory kernels. The existence and regularity of the solutions are investigated. A high-order numerical method is introduced and analyzed and compared with an explicit method based on the regularity of the solution. Validation examples are supported, and some models are simulated and discussed.