16 results for “Fractional Order”

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Research ArticleOpen accessIn the abstractSwarm Optimization Techniques for Segmenting Gel Electrophoresis ImagesSara Ibrahim Ibrahim, Mohamed Abd Allah Makhlouf, Ghada.S. El-Tawel, M.E. WahedGel Electrophoresis (GE) are discussed as the main tool to dissociate DNA sequences. It helps in analyzing the genome such that each image resulting from it consists of lanes that include several bands. Image segmentation plays the foremost role in image processing. It helps in producing accurate results in medical diagnosis. Image segmentation works by dividing an image into regions … …Current Research in Bioinformatics, Vol. 5, Issue 1 · 18 Jun 2016 · 8,092 accessesView PDF Cite

Research ArticleOpen accessIn the abstractApproximate Series Solution of Nonlinear, Fractional Klein-Gordon Equations Using Fractional Reduced Differential Transform MethodEman Abuteen, Asad Freihat, Mohammed Al-Smadi et al.This analysis proposes an analytical-numerical approach for providing solutions of a class of nonlinear fractional Klein-Gordon equation subjected to appropriate initial conditions in Caputo sense by using the Fractional Reduced Differential Transform Method (FRDTM). This technique provides the solutions very accurately and efficiently in convergent series formula with easily computable coefficients. The behavior of the approximate series solution for different … …Journal of Mathematics and Statistics, Vol. 12, Issue 1 · 26 Mar 2016 · 7,901 accessesView PDF Cite

Research ArticleOpen accessIn the abstractCOMBINING LONG MEMORY AND NONLINEAR MODEL OUTPUTS FOR INFLATION FORECASTHeri Kuswanto, Irhamah, Laylia AfidahLong memory and nonlinearity have been proven as two models that are easily to be mistaken. In other words, nonlinearity is a strong candidate of spurious long memory by introducing a certain degree of fractional integration that lies in the region of long memory. Indeed, nonlinear process belongs to short memory with zero integration order. The idea of the forecast … …Journal of Mathematics and Statistics, Vol. 10, Issue 3 · 7 Jul 2014 · 6,981 accessesView PDF Cite

Research ArticleOpen accessIn the abstractFractional Quantum Field Theory on Multifractals SetsEl-Nabulsi Ahmad RamiProblem statement: This study is a contribution to the general program of describing complex dynamical systems using the tool of fractional calculus of variations. Approach: Following our previous work, fractional quantum field theory based on the fractional actionlike variational approach supported by Saxena-Kumbhat fractional integrals functionals, fractional derivative of order (α, β) and dynamical fractional exponent on multi-fractal sets is … …American Journal of Engineering and Applied Sciences, Vol. 4, Issue 1 · 15 Mar 2011 · 7,343 accessesView PDF Cite

Research ArticleOpen accessIn the abstractOn Certain Classes of Multivalent Analytic FunctionsRabha W. Ibrahim, Maslina DarusProblem statement: By means of the Hadamard product (or convolution), new class of function of power order was formed. This class was motivated by many authors namely MacGregor, Umezawa, Darus and Ibrahim and many others. The class indeed extended in the form of integral operator due to the work of Bernardi, Libera and Livingston. Approach: A new class of multivalent … …Journal of Mathematics and Statistics, Vol. 6, Issue 3 · 30 Sep 2010 · 7,438 accessesView PDF Cite

Research ArticleOpen accessAll words, across the recordNelson and Plosser Revisited: Evidence from Fractional ARIMA ModelsGuglielmo Maria Caporale, Luis A. Gil-AlanaIn this study fractionally integrated ARIMA (ARFIMA) models are estimated using an extended version of Nelson and Plosser[1]’s data set. The analysis employs[11]’s maximum likelihood procedure. Such a parametric approach requires the model to be correctly specified in order for the estimates to be consistent. A model-selection procedure based on diagnostic tests on the residuals, together with several likelihood criteria, … …American Journal of Applied Sciences, Vol. 2, Issue 4 · 30 Apr 2005 · 6,715 accessesView PDF Cite