Scopus İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651
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Book Citation - Scopus: 428Local Fractional Integral Transforms and Their Applications(Elsevier, 2015) Yang, X.J.; Baleanu, D.; Srivastava, H.M.Local Fractional Integral Transforms and Their Applications provides information on how local fractional calculus has been successfully applied to describe the numerous widespread real-world phenomena in the fields of physical sciences and engineering sciences that involve non-differentiable behaviors. The methods of integral transforms via local fractional calculus have been used to solve various local fractional ordinary and local fractional partial differential equations and also to figure out the presence of the fractal phenomenon. The book presents the basics of the local fractional derivative operators and investigates some new results in the area of local integral transforms. © 2016 Elsevier Ltd. All rights reserved.Article Citation - WoS: 13Citation - Scopus: 15O(N) Parallel Tight Binding Molecular Dynamics Simulation of Carbon Nanotubes(Elsevier, 2002) Özdogan, C; Dereli, G; Çagin, TWe report an O(N) parallel tight binding molecular dynamics simulation study of (10 x 10) structured carbon nanotubes (CNT) at 300 K. We converted a sequential O(N-3) TBMD simulation program into an O(N) parallel code, utilizing the concept of parallel virtual machines (PVM). The code is tested in a distributed memory system consisting of a cluster with 8 PC's that run under Linux (Slackware 2.2.13 kernel). Our results on the speed up, efficiency and system size are given. (C) 2002 Elsevier Science B.V. All rights reserved.Article Multidetermination of thiamine HCl and pyridoxine HCl in their mixture using continuous daubechies and biorthogonal wavelet analysis(Elsevier, 2003) Dinç, E.; Baleanu, DumitruA new graphical method based on the one-dimensional wavelet transform (WT) was proposed and tested on mixture of thiamine hydrochloride (THI) and pyridoxine hydrochloride (PYR) in the presence of strongly overlapping signals. We selected from the data of the UV-VIS absorption spectra a signal consisting of 1150 points corresponding to the concentration range 8-32 mg ml(-1) for each vitamin and we subjected it to Daubechies8 (DAUB8) and Biorthogonal6.8 (BIOR6.8) wavelet transforms. Since the peaks of the transformed signals were bigger than original ones a zero crossing method was applied to obtain the calibration graphs. In addition, the validity of Beer-Lambert law was assumed for the transformed signals. An appropriate scale setting was choosing to obtain an alternative calibration for each method. MATLAB 6.5 software was used for one-dimensional wavelet analysis and the basic concepts about wavelet method were given. The obtained results were successfully compared among each other as well as with those obtained by other literature methods. The method developed in this paper is rapid, easy to apply, not expensive and it is suitable for analyzing of the overlapping signals of compounds in their mixtures without any chemical pre-treatment. (C) 2002 Elsevier Science B.V. All rights reserved.Article Citation - WoS: 6Citation - Scopus: 7Reprint Of: Chaos Synchronization of the Discrete Fractional Logistic Map(Elsevier, 2015) Baleanu, Dumitru; Wu, Guo-ChengIn this paper, master slave synchronization for the fractional difference equation is studied with a nonlinear coupling method. The numerical simulation shows that the designed synchronization method can effectively synchronize the fractional logistic map. The Caputo-like delta derivative is adopted as the difference operator. (C) 2014 Elsevier B.V. All rights reserved.Article Citation - WoS: 26Citation - Scopus: 32On a More General Fractional Integration by Parts Formulae and Applications(Elsevier, 2019) Gomez-Aguilar, J. F.; Jarad, Fahd; Abdeljawad, Thabet; Atangana, AbdonThe integration by part comes from the product rule of classical differentiation and integration. The concept was adapted in fractional differential and integration and has several applications in control theory. However, the formulation in fractional calculus is the classical integral of a fractional derivative of a product of a fractional derivative of a given function f and a function g. We argue that, this formulation could be done using only fractional operators: thus, we develop fractional integration by parts for fractional integrals, Riemann-Liouville, Liouville-Caputo, Caputo-Fabrizio and Atangana-Baleanu fractional derivatives. We allow the left and right fractional integrals of order alpha > 0 to act on the integrated terms instead of the usual integral and then make use of the fractional type Leibniz rules to formulate the integration by parts by means of new generalized type fractional operators with binomial coefficients defined for analytic functions. In the case alpha = 1, our formulae of fractional integration by parts results in previously obtained integration by parts in fractional calculus. The two disciplines or branches of mathematics are built differently, while classical differentiation is built with the concept of rate of change of a given function, a fractional differential operator is a convolution. (C) 2019 Elsevier B.V. All rights reserved.Conference Object Citation - WoS: 5Citation - Scopus: 6Fault-Tolerant Control of Discrete-Event Systems With Lower-Bound Specifications(Elsevier, 2015) Moor, Thomas; Schmidt, Klaus WernerFault-tolerant control addresses the control of dynamical systems such that they remain functional after the occurrence of a fault. To allow the controller to compensate for a fault, the system must exhibit certain redundancies. Alternatively, one may relax performance requirements for the closed loop behaviour after the occurrence of a fault. To achieve fault tolerance for a hierarchical control architecture, a combination of both options appears to be advisable: on each individual level of the hierarchy, the controller may compensate the fault as far as possible, and then pass on responsibility to the next upper level. This approach, when further elaborated for discrete-event systems represented by formal languages, turns out to impose a hard lower-bound inclusion specification on the closed-loop behaviour. The present paper discusses the corresponding synthesis problem and presents a solution. (C) 2015, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.Article Citation - WoS: 153Citation - Scopus: 162Chaos Synchronization of the Discrete Fractional Logistic Map(Elsevier, 2014) Baleanu, Dumitru; Wu, Guo-ChengIn this paper, master-slave synchronization for the fractional difference equation is studied with a nonlinear coupling method. The numerical simulation shows that the designed synchronization method can effectively synchronize the fractional logistic map. The Caputo-like delta derivative is adopted as the difference operator. (C) 2014 Elsevier B.V. All rights reserved.Article About fractional quantization and fractional variational principles(Elsevier, 2009) Baleanu, Dumitruin this paper, a new method of finding the fractional Euler-Lagrange equations within Caputo derivative is proposed by making use of the fractional generalization of the classical Fad di Bruno formula. The fractional Euler-Lagrange and the fractional Hamilton equations are obtained within the 1 + 1 field formalism. One illustrative example is analyzed. (C) 2008 Elsevier B.V. All rights reserved.Article Citation - WoS: 64Citation - Scopus: 70Unsupervised Constrained Neural Network Modeling of Boundary Value Corneal Model for Eye Surgery(Elsevier, 2019) Amin, Fazli; Wahab, Hafiz Abdul; Baleanu, Dumitru; Umar, MuhammadIn this article, a numerical computing technique is developed for solving the nonlinear second order corneal shape model (CSM) using feed-forward artificial neural networks, optimized with particle swarm optimization (PSO) and active-set algorithms (ASA). The design parameter is approved initially with PSO known as global search, while for further prompt local refinements ASA is used. The performance of the design structure is scrutinized by solving a number of variants of CSM. The typical Adams numerical results are used for comparison of the proposed results, which establish the worth of the scheme in terms of convergence and accuracy. For more satisfaction, the present results are also compared with radial basis function (RBF) results. Moreover, statistical analysis based on mean absolute deviation, Theil's inequality coefficient and Nash Sutcliffe efficiency is presented (C) 2019 Published by Elsevier B.V.Article Citation - WoS: 9Citation - Scopus: 17Camera Auto-Calibration Using a Sequence of 2d Images With Small Rotations(Elsevier, 2004) Atalay, V; Hassanpour, RIn this study, we describe an auto-calibration algorithm with fixed but unknown camera parameters. We have modified Triggs' algorithm to incorporate known aspect ratio and skew values to make it applicable for small rotation around a single axis. The algorithm despite being a quadratic one is easy to solve. We have applied the algorithm to some artificial objects with known size and dimensions for evaluation purposes. In addition, the accuracy of the algorithm has been verified using synthetic data. The described method is particularly suitable for three dimensional human head modeling. (C) 2004 Elsevier B.V. All rights reserved.