26 articles for “First Derivative”

Research ArticleOpen accessIn the abstractOn Almost Periodic Solutions of Abstract Semilinear Fractional Inclusions with Weyl-Liouville Derivatives of Order γ ∈ (0, 1]Marko KostićThe main aim of this paper is to examine the existence and uniqueness of almost periodic solutions for a class of (semilinear) fractional relaxation inclusions with Stepanov almost periodic coefficients. We deal with the Weyl-Liouville fractional derivatives of order γ ∈ (0, 1], paying special attention to the analysis of semilinear differential inclusions of first order. We use the results … …Journal of Mathematics and Statistics, Vol. 13, Issue 3 · 26 Jul 2017 · 6,787 accessesView PDF Cite

Research ArticleOpen accessIn the abstractDescription of a Novel Probiotic Concept: Implications for the Modulation of the Immune SystemStefania Pacini, Marco RuggieroIt is estimated that the first processed food products consumed by humans pertained to the category of fermented foods and beverages such as beer, wine, sauerkraut, fermented sausage as well as fermented milk derivatives such as yogurt and kefir. Thus, fermented foods are endowed with undisputed healthy properties due to the presence of probiotic microbes that not only help supporting … …American Journal of Immunology, Vol. 13, Issue 2 · 28 Jan 2017 · 9,237 accessesView PDF Cite

Research ArticleOpen accessIn the abstractA Non-Linear Absolutely-Stable Explicit Numerical Integration Algorithm for Stiff Initial-Value ProblemsEssam R. El-ZaharThe time-step in integration process has two restrictions. The first one is the time step restriction due to accuracy requirement τac and the second one is the time-step restriction due to stability requirement τst. The most of explicit methods have small stability regions and consequently small τst. It obliges us to solve stiff problems with small step size τst << … …American Journal of Applied Sciences, Vol. 10, Issue 11 · 11 Sep 2013 · 7,559 accessesView PDF Cite

Research ArticleOpen accessIn the abstractA Multiderivative Collocation Method for 5th Order Ordinary Differential EquationsS. J. Kayode, D. O. AwoyemiProblem statement: The conventional methods of solving higher order differential equations have been by reducing them to systems of first order equations. This approach is cumbersome and increases computational time. Approach: To address this problem, a numerical algorithm for direct solution of 5th order initial value problems in ordinary differential equations (odes), using power series as basis function, is proposed … …Journal of Mathematics and Statistics, Vol. 6, Issue 1 · 31 Mar 2010 · 8,928 accessesView PDF Cite

Research ArticleOpen accessIn the abstractOn Application of Carhart Atom Pairs to Predict Anticonvulsant ActivityAlan Talevi, Julian J. Prieto, Luis E. Bruno-Blanch, Eduardo CastroAbout 50 million people in the world suffer from epilepsy, especially in childhood, adolescence and old age. Available treatment fails to control epilepsy in up to 30% of affected people. In developing countries, however, the amount of patients that do not receive adequate treatment climbs up to 75%. Moreover, the new generation of antiepileptic drugs (AEDs) causes important central and … …American Journal of Biochemistry and Biotechnology, Vol. 2, Issue 3 · 30 Sep 2006 · 6,857 accessesView PDF Cite

Research ArticleOpen accessIn the abstractNa,K-ATPase α Subunit-like Immunoreactive Proteins in Human Body FluidsJeng-Hsiung F. PengNa,K-ATPase was recently considered a target for breast cancer treatment since its potent inhibitors ouabain and related digitalis compounds that were reported circulating in body fluids before, were found to possess potent anti-breast cancer activity. Based on this finding, it is hypothesized that Na,K-ATPase derivatives could be circulating in the body and potential candidate biomarkers for early disease detection. Western … …American Journal of Immunology, Vol. 2, Issue 1 · 31 Mar 2006 · 6,892 accessesView PDF Cite