Scopus İndeksli Yayınlar Koleksiyonu

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

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Now showing 1 - 10 of 29
  • Correction
    Citation - WoS: 5
    Citation - Scopus: 1
    Meir-Keeler Α-Contractive Fixed and Common Fixed Point Theorems (Vol 2013, Pg 19, 2013)
    (Springer international Publishing Ag, 2013) Gopal, Dhananjay; Abdeljawad, Thabet
    In this note we correct some errors that appeared in the article (Abdeljawad in Fixed Point Theory Appl. 2013:19, 2013) by modifying some conditions in the main theorems and by giving an example to support. MSC: 47H10, 54H25.
  • Article
    Citation - WoS: 7
    Citation - Scopus: 10
    Common Fixed Point Theorems for Generalized (φ,ψ)-Weak Contraction Condition in Complete Metric Spaces
    (Springer international Publishing Ag, 2015) Tas, Kenan; Patel, Uma Devi; Murthy, Penumarthy Parvateesam
    The intent of this manuscript is to establish some common fixed point theorems in a complete metric space under weak contraction condition for two pairs of discontinuous weak compatible maps. The results proved herein are the generalization of some recent results in literature. We give an example to support our results.
  • Article
    Citation - WoS: 58
    Citation - Scopus: 64
    On Two Fractional Differential Inclusions
    (Springer international Publishing Ag, 2016) Hedayati, Vahid; Rezapour, Shahram; Al Qurashi, Maysaa' Mohamed; Baleanu, Dumitru
    We investigate in this manuscript the existence of solution for two fractional differential inclusions. At first we discuss the existence of solution of a class of fractional hybrid differential inclusions. To illustrate our results we present an illustrative example. We study the existence and dimension of the solution set for some fractional differential inclusions.
  • Article
    Citation - WoS: 10
    Citation - Scopus: 15
    A Novel Computational Approach To Approximate Fuzzy Interpolation Polynomials
    (Springer international Publishing Ag, 2016) Jafari, Raheleh; Al Qurashi, Maysaa Mohamed; Baleanu, Dumitru; Jafarian, Ahmad; Mohamed Al Qurashi, Maysaa
    This paper build a structure of fuzzy neural network, which is well sufficient to gain a fuzzy interpolation polynomial of the form y(p) = a(n)x(p)(n) +... + a(1)x(p) + a(0) where a(j) is crisp number (for j = 0,..., n), which interpolates the fuzzy data (x(j), y(j)) (for j = 0,..., n). Thus, a gradient descent algorithm is constructed to train the neural network in such a way that the unknown coefficients of fuzzy polynomial are estimated by the neural network. The numeral experimentations portray that the present interpolation methodology is reliable and efficient.
  • Article
    Citation - WoS: 9
    Citation - Scopus: 16
    A Serious Game for Improving the Decision Making Skills and Knowledge Levels of Turkish Football Referees According To the Laws of the Game
    (Springer international Publishing Ag, 2016) Gulec, Ulas; Yilmaz, Murat
    Digital game-based learning environments provide emerging opportunities to overcome learning barriers by combining newly developed technologies and traditional game design. This study proposes a quantitative research approach supported by expert validation interviews to designing a game-based learning framework. The goal is to improve the learning experience and decision-making skills of soccer referees in Turkey. A serious game was developed and tested on a group of referees (N = 54). The assessment results of these referees were compared with two sample t-test and the Wilcoxon signed-ranked test for both the experimental group and the control group. The findings of the current study confirmed that a game-based learning environment has greater merit over the paper-based alternatives.
  • Article
    Citation - WoS: 25
    Citation - Scopus: 29
    A New Approach for One-Dimensional Sine-Gordon Equation
    (Springer international Publishing Ag, 2016) Inc, Mustafa; Kilicman, Adem; Baleanu, Dumitru; Akgul, Ali
    In this work, we use a reproducing kernel method for investigating the sine-Gordon equation with initial and boundary conditions. Numerical experiments are studied to show the efficiency of the technique. The acquired results are compared with the exact solutions and results obtained by different methods. These results indicate that the reproducing kernel method is very effective.
  • Article
    Citation - WoS: 23
    Citation - Scopus: 26
    Numerical Solution of Linear Integral Equations System Using the Bernstein Collocation Method
    (Springer international Publishing Ag, 2013) Nia, Safa A. Measoomy; Golmankhaneh, Alireza K.; Baleanu, Dumitru; Jafarian, Ahmad
    Since in some application mathematical problems finding the analytical solution is too complicated, in recent years a lot of attention has been devoted by researchers to find the numerical solution of this equations. In this paper, an application of the Bernstein polynomials expansion method is applied to solve linear second kind Fredholm and Volterra integral equations systems. This work reduces the integral equations system to a linear system in generalized case such that the solution of the resulting system yields the unknown Bernstein coefficients of the solutions. Illustrative examples are provided to demonstrate the preciseness and effectiveness of the proposed technique. The results are compared with the exact solution by using computer simulations.
  • Article
    Citation - WoS: 52
    Citation - Scopus: 57
    Damped Wave Equation and Dissipative Wave Equation in Fractal Strings Within the Local Fractional Variational Iteration Method
    (Springer international Publishing Ag, 2013) Baleanu, Dumitru; Yang, Xiao-Jun; Jafari, Hossein; Su, Wei-Hua
    In this paper, the local fractional variational iteration method is given to handle the damped wave equation and dissipative wave equation in fractal strings. The approximation solutions show that the methodology of local fractional variational iteration method is an efficient and simple tool for solving mathematical problems arising in fractal wave motions. MSC: 74H10, 35L05, 28A80.
  • Article
    Citation - WoS: 52
    Citation - Scopus: 57
    On a Nonlinear Fractional Differential Equation on Partially Ordered Metric Spaces
    (Springer international Publishing Ag, 2013) Mohammadi, Hakimeh; Rezapour, Shahram; Baleanu, Dumitru
    In this paper, by using a fixed point result on ordered metric spaces, we prove the existence and uniqueness of a solution of the nonlinear fractional differential equation (, ) via the periodic boundary condition , where and is a continuous increasing function and denotes the Caputo fractional derivative of order alpha. Also, we solve it by using the anti-periodic boundary conditions with and with and separately.
  • Article
    Citation - WoS: 96
    Citation - Scopus: 117
    A Jacobi Operational Matrix for Solving a Fuzzy Linear Fractional Differential Equation
    (Springer international Publishing Ag, 2013) Suleiman, Mohamed; Salahshour, Soheil; Baleanu, Dumitru; Ahmadian, Ali
    This paper reveals a computational method based using a tau method with Jacobi polynomials for the solution of fuzzy linear fractional differential equations of order . A suitable representation of the fuzzy solution via Jacobi polynomials diminishes its numerical results to the solution of a system of algebraic equations. The main advantage of this method is its high robustness and accuracy gained by a small number of Jacobi functions. The efficiency and applicability of the proposed method are proved by several test examples.