Research ArticleOpen accessIn the keywordsFractional 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 · 6,661 accessesView PDFCite
Research ArticleOpen accessIn the abstractSOLITARY WAVE MODULATION IN AN ARTERY WITH STENOSIS FILLED WITH A VISCOUS FLUIDYaan Yee Choy, Kim Gaik Tay, Chee Tiong OngIn this study, the derivation of mathematical model for the wave modulation through an incompressible viscous fluid contained in a prestressed thin stenosed elastic tube is presented. The artery is assumed to be incompressible, prestressed thin walled elastic tube with a symmetrical stenosis, whereas the blood is considered to be incompressible and Newtonian fluid. By utilizing the nonlinear equations of … …Journal of Mathematics and Statistics, Vol. 9, Issue 3 · 4 Sep 2013 · 7,085 accessesView PDFCite