Scopus İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651
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Conference Object Citation - WoS: 2Citation - Scopus: 2Difference Discrete Variational Principles(Amer inst Physics, 2006) Baleanu, Dumitru; Jarad, FahdThe paper provides the discrete Lagrangian and Hamiltonian formulations of mechanical systems for both non-singular and singular cases. The Lagrangians with linear velocities and with higher velocities are investigated and the corresponding difference Euler-Lagrange equations and Hamiltonians are found.Conference Object Citation - WoS: 1Citation - Scopus: 1Fmml: a Feature Model Markup Language(Amer inst Physics, 2011) Nabdel, Leili; Karatas, Ahmet Serkan; Oguztuzun, Halit; Dogru, AliFeature modeling is a common way of representing commonality and variability in Software Product Line Engineering. Alternative notations are available to represent feature models. Compared with graphical notations, text-based notations can be more amenable to automated processing and tool interoperability. In this paper, we propose an XML-based feature modeling language to represent extended feature models with complex relationships.Conference Object Reproducing Kernel Method for Strongly Non-Linear Equation(Amer inst Physics, 2018) Akgul, Esra Karatas; Baleanu, Dumitru; Akgul, AliIn this paper, we search the efficiency of the reproducing kernel method (RKM) in solving the strongly nonlinear equation. An example is presented to prove the power of the technique. The results attained from the technique are compared with the other techniques. Results prove that the presented technique is very effective.Conference Object Citation - WoS: 2Citation - Scopus: 1Invariant Investigation on the System of Hirota-Satsuma Coupled Kdv Equation(Amer inst Physics, 2018) Balmeh, Z.; Akgul, A.; Akgul, E. K.; Baleanu, D.; Hashemi, M. S.We show how invariant subspace method can be extended to the system time fractional differential equations and construct their exact solutions. Effectiveness of the method has been illustrated by the time fractional Hirota-Satsuma Coupled KdV(HSCKdV) equation.Conference Object Citation - WoS: 1Citation - Scopus: 2A Homotopy Perturbation Solution for Solving Highly Nonlinear Fluid Flow Problem Arising in Mechanical Engineering(Amer inst Physics, 2018) Akgul, Ali; Faraz, Naeem; Inc, Mustafa; Akgul, Esra Karatas; Baleanu, Dumitru; Khan, YasirIn this paper, a highly nonlinear equations are treated analytically via homotopy perturbation method for fluid mechanics problem. The non-linear differential equations are transformed to a coupled non-linear ordinary, differential equations via similarity transformations. Graphical results are presented and discussed for various physical parameters.Conference Object Fractals Arising From Newton's Method(Amer inst Physics, 2012) Cilingir, FigenWe consider the dynamics as a special class of rational functions that are obtained from Newton's method when applied to a polynomial equation. Finding solutions of these equations leads to some beautiful images in complex functions. These images represent the basins of attraction of roots of complex functions. We seek the answer "What is the dynamics near the chosen parabolic fixed points?". In addition, we will provide a detailed history of Fractal and Dynamical System Theory.