Research ArticleOpen accessEvery word in the titleIntegral Dissipative Set-valued MapsM. O. Ogundiran, T. A. AdemolaIntegral dissipativity arises over a period of time. This dissipativity for multivalued maps has some intrinsic properties together with their convexification. The space of Aumann integrable maps endowed with Hausdorff topology having this dissipativity condition is a complete metric space. …Journal of Mathematics and Statistics, Vol. 4, Issue 1 · 31 Mar 2008 · 6,917 accessesView PDFCite
Research ArticleOpen accessIn the keywordsBifurcation and Stability Analysis of a Food Web in a ChemostatS.M. Sohel RanaIn this study, a classical model describing a food web in a chemostat involving three species competing for non-reproducing, growth rate-limiting nutrient in which one of the competitors predates on one of the other competitors is considered. Quantitative analyses of non-negativity and boundedness of solution trajectories, dissipativity, behavior around equilibria, global stability and persistence of the model equations are analyzed. … …Journal of Mathematics and Statistics, Vol. 12, Issue 4 · 22 Oct 2016 · 7,081 accessesView PDFCite
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
EditorialOpen accessIn the abstractInternational Journal of Structural Glass and Advanced Materials Research: A New Open Platform for Materials ScienceChiara Bedon, Mario D’Aniello, Andreas Luible, Flavio StochinoEditorial The International Journal of Structural Glass and Advanced Materials Research (IJSGAMR) is a new peer-reviewed, open access journal, which covers all aspects of theoretical and practical research of materials science. The journal aims to promote international exchange of knowledge and broad discussion on advancements, outcomes and recent developments in materials research for engineering applications. In the last years, the … …International Journal of Structural Glass and Advanced Materials Research, Vol. 1, Issue 1 · 17 May 2017 · 13,690 accessesView PDFCite
Research ArticleOpen accessIn the abstractON SMOOTH SOLUTIONS OF NON LINEAR DYNAMICAL SYSTEMS, fn+1 = u(fn), PART IKyriakos KefalasWe consider the dynamical system, fn+1 = u(fn), (1) (where usually n, is time) defined by a continuous map u. Our target is to find a flow of the system for each initial state f0, i.e., we seek continuous solutions of (1), with the same smoothness degree as u. We start with the introduction of continued forms which are a … …Physics International, Vol. 5, Issue 1 · 7 May 2014 · 8,668 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
Research ArticleOpen accessIn the abstractDynamics of Coherent Structures in the Coupled Complex Ginzburg-Landau EquationsTat-Leung YeeProblem statement: In this study, we study the analytical construction of some exact solutions of a system of coupled physical differential equations, namely, the Complex Ginzburg-Landau Equations (CGLEs). CGLEs are intensively studied models of pattern formation in nonlinear dissipative media, with applications to biology, hydrodynamics, nonlinear optics, plasma physics, reaction-diffusion systems and many other fields. Approach: A system of two … …Journal of Mathematics and Statistics, Vol. 8, Issue 3 · 6 Nov 2012 · 6,990 accessesView PDFCite