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267 articles for “S-9 Fraction”
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Research ArticleOpen accessEvery word in the titleStudy of Fractional Order Integro-Differential Equations by using Chebyshev Neural NetworkSarkhosh S. Chaharborj, Shahriar S. Chaharborj, Yaghoub MahmoudiRecently fractional integro-differential equations have been proposed for the modeling of many complex systems. Simulation of these equations requires the development of suitable numerical methods. This paper is devoted to finding the numerical solution of some classes of fractional integro-differential equations by employing the Chebyshev Neural Network (ChNN). The accuracy of proposed method is shown by comparing the numerical results … …Journal of Mathematics and Statistics, Vol. 13, Issue 1 · 11 Feb 2017 · 7,406 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleOptimization of Biodiesel Production from Spent Palm Cooking Oil Using Fractional Factorial Design Combined with the Response Surface MethodologyS.M. Zakir Hossain, Nahid Sultana, Muhammad Faisal Irfan et al.Fractional Factorial Design (FFD) of the experiments combined with the response surface methodology was used to determine the optimum conditions for the production of biodiesel from Used Cooking Oil (UCO) in a batch reactor. Spent palm olein cooking oil was used as a raw material for biodiesel production as it is commonly used in most of the restaurants in Bahrain. … …American Journal of Applied Sciences, Vol. 13, Issue 11 · 22 Nov 2016 · 8,446 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleFractional Lion Algorithm-An Optimization Algorithm for Data ClusteringSatish Chander, P. Vijaya, Praveen DhyaniClustering divides the data available as bulk into meaningful, useful groups (Clusters) without any prior knowledge about the data. Cluster analysis provides an abstraction from individual data objects to the clusters in which those objects reside. It is a key technique in the data mining and has become an important issue in many fields. This paper presents a novel Fractional … …Journal of Computer Science, Vol. 12, Issue 7 · 12 Aug 2016 · 7,680 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleApproximate 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 · 7,907 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleAn Expansion Iterative Technique for Handling Fractional Differential Equations Using Fractional Power Series SchemeRadwan Abu-Gdairi, Mohammed Al-Smadi, Ghaleb GumahIn this study, we present a new analytical numerical technique for solving a class of time Fractional Differential Equations (FDEs) with variable coefficients based on the generalized Taylor series formula in the Caputo sense. This method provided the solution in the form of a rapidly convergent power series under a multiple fractional differentiability with easily computable components. An efficacious experiment … …Journal of Mathematics and Statistics, Vol. 11, Issue 2 · 18 Sep 2015 · 7,815 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleFractional Reserve Banking and Price Stability: Evidence from Gulf Cooperation Council (GCC) CountriesOsman Sayid Hassan Musse, Abdelghani Echchabi, Hassanuddeen Abdul AzizThis study aims at investigating the possible influence of the current money creation process applied by the commercial banks through the fractional reserve system on the overall prices stability in the Gulf Cooperation Council (GCC) countries. The study uses yearly data spanning from 2008 through 2013 for Qatar, Kuwait, Oman, Saudi Arabia and United Arab Emirates and applies panel regression … …American Journal of Economics and Business Administration, Vol. 7, Issue 3 · 11 Aug 2015 · 7,098 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleRadiation-Induced Cognitive Dysfunction After Different Schemes of Fractionated Whole Brain IrradiationZorkina Yana Alexandrovna, Zubkov Eugene Andreevich, Yusubalieva Gaukhar Maratovna et al.Radiation-induced cognitive dysfunction is a serious complication of radiation therapy. In humans, numerous cases of radiation damage have been recorded after irradiation for therapeutic purposes. The degree of cognitive dysfunctions and its dependence on biological effective doses should be tested in animal preclinical models to minimize radiation side effects. Fractionated whole brain irradiation was performed according to the following schemes: … …Neuroscience International, Vol. 5, Issue 2 · 14 Jan 2015 · 7,261 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleLOCAL FRACTIONAL VARIATIONAL ITERATION METHOD FOR SOLVING VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS WITHIN LOCAL FRACTIONAL OPERATORSAmmar Ali NeamahThe paper uses the Local fractional variational Iteration Method for solving the second kind Volterra integro-differential equations within the local fractional integral operators. The analytical solutions within the non-differential terms are discussed. Some illustrative examples will be discussed. The obtained results show the simplicity and efficiency of the present technique with application to the problems for the integral equations. …Journal of Mathematics and Statistics, Vol. 10, Issue 3 · 9 Oct 2014 · 6,516 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleLimit Theorems for a Class of Additive Functionals of Symmetric Stable Process and Fractional Brownian Motion in Besov-Orlicz SpacesM. Ait Ouahra, A. Kissami, A. SghirWe use the Potter's Theorem and the tightness criterion in Besov-Orlicz spaces, recently proved, to generalize some limit theorem for occupation times problem of certain self-similar process, namely symmetric stable process of index 1<α≤ and fractional Brownian motion of Hurst parameter 0<H<1. We give also strong approximation version of our limit theorem, more precisely, we show Lp-estimate version. …Journal of Mathematics and Statistics, Vol. 8, Issue 4 · 22 Feb 2013 · 6,759 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleFractional Calculus Theoretical Evolution for Radiation QuantitiesAmin Al-Okour, Sherin A. Sareireh, Abdullah Ajlouni, Abdul-Wali AjlouniProblem statement: Radiation dosimetry features depend on semi-empirical formulas that lack a strong mathematical framework. This is due to the fact that the microscopic radiation interaction with matter includes energy losses that have never been described properly in quantum mechanics, which deals with conserved energy systems. Approach: Using the recent theory of the quantization of nonconservative systems using fractional calculus. … …Journal of Mathematics and Statistics, Vol. 8, Issue 1 · 2 Feb 2012 · 6,664 accessesView PDFCite