WoS İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8653
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Article Citation - WoS: 23Citation - Scopus: 23Conditional Optimization Problems: Fractional Order Case(Springer/plenum Publishers, 2013) Baleanu, Dumitru; Majd, Vahid Johari; Razminia, AbolhassanIn this manuscript, we introduce a new formulation for the constrained optimization problems in which the objective function is considered in the fractional integral form. The constraints are applied in two separate cases, namely, fractional differential and fractional isoperimetric constraints. In both cases, by using the extended Euler-Lagrange equations and the Lagrange multiplier method, the necessary conditions are obtained. An example is given in order to illustrate the effectiveness of the reported results.Article Citation - WoS: 44Citation - Scopus: 52New Numerical Approach for Fractional Variational Problems Using Shifted Legendre Orthonormal Polynomials(Springer/plenum Publishers, 2017) Hafez, Ramy M.; Bhrawy, Ali H.; Baleanu, Dumitru; El-Kalaawy, Ahmed A.; Ezz-Eldien, Samer S.This paper reports a new numerical approach for numerically solving types of fractional variational problems. In our approach, we use the fractional integrals operational matrix, described in the sense of Riemann-Liouville, with the help of the Lagrange multiplier technique for converting the fractional variational problem into an easier problem that consisting of solving an algebraic equations system in the unknown coefficients. Several numerical examples are introduced, combined with their approximate solutions and comparisons with other numerical approaches, for confirming the accuracy and applicability of the proposed approach.Article Citation - WoS: 80Citation - Scopus: 93A New Formulation of the Fractional Optimal Control Problems Involving Mittag-Leffler Nonsingular Kernel(Springer/plenum Publishers, 2017) Jajarmi, Amin; Hajipour, Mojtaba; Baleanu, DumitruThe aim of this paper is to propose a new formulation of the fractional optimal control problems involving Mittag-Leffler nonsingular kernel. By using the Lagrange multiplier within the calculus of variations and by applying the fractional integration by parts, the necessary optimality conditions are derived in terms of a nonlinear two-point fractional boundary value problem. Based on the convolution formula and generalized discrete Gronwall's inequality, the numerical scheme for solving this problem is developed and its convergence is proved. Numerical simulations and comparative results show that the suggested technique is efficient and provides satisfactory results.Article Synthesis, Molecular Structure and Dft Study of 2-(n Benzoate(Springer/plenum Publishers, 2011) Kazak, Canan; Ozdogan, Cem; Guvenc, Ziya B.; Buyukgungor, Orhan; Arslan, Figen; Odabasoglu, Mustafa; Yuksektepe, CigdemThe biologically important 2-amino-3-hydroxypyridine reacts with benzoyl chloride to give 2-(N-benzoylbenzamido)pyridine-3-yl benzoate. This synthesized compound has been studied by elemental analysis, X-ray crystallography and also theoretically by density functional theory (DFT) framework with B3LYP/6-311++G(d, p) level of theory. The molecules of this compound crystallize in the orthorhombic space group of P2(1)2(1)2(1) and the crystal packing involves both hydrogen-bonding and C-Ha <-pi interaction. The vibrational normal modes of the molecular structure are investigated by ab initio method for both infrared intensities (IR) and for Raman activities. Furthermore, the corresponding assignments are discussed. Hydrogen and carbon atoms of the benzene rings are found to be highly active. Also, experimentally obtained IR spectrum is presented and compared with the available theoretical data. Experimentally and theoretically obtained IR spectrum are in good agreement.