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The Lattice of Intuitionistic Fuzzy Topologies Generated by Intuitionistic Fuzzy Relations
Get PDFWe generalize the notion of fuzzy topology generated by fuzzy relation given by Mishra and Srivastava to the setting of intuitionistic fuzzy sets. Some fundamental properties and necessary examples are given. More specifically, we provide the lattice structure to a family of intuitionistic fuzzy topologies generated by intuitionistic fuzzy relations. To that end, we study necessary structural characteristics such as distributivity, modularity and complementary of this lattice
Iron based catalysts in biomass processing
No full textThe interest in the use of non-noble metal catalysis is quite relevant to biomass processing due to costs, environmental concerns and the substantial scale of these operations. The aim of this article is to cover all aspects of the use of iron based catalysts in various biomass processing applications, especially focusing on the developments in the last five years. The appeal of metallic iron and its compounds in catalysis as well as the diversity of the type of transformations are discussed in the introduction sections of this review. The recent advances in the use of iron or its compounds in biomass pretreatment, saccharification, liquefaction and pyrolysis are reviewed as major topics in the review article. In addition, the use iron based catalysts in processing biomass derived small molecules to fuel; polymer and chemical feedstocks are also discussed in the article
A comparison of kombucha SCOBY bacterial cellulose purification methods
No full textKombucha SCOBY pellicle formed as a waste product in the kombucha tea fermentation industry can be used as a potential source for bacterial cellulose. We have compared four simple, scalable purification methods for the purification of this jelly like cellulosic matrix containing bacteria, yeast cells, proteins and polyphenols as impurities. The method using two successive 1.0 M NaOH washings at 90 °C, followed by the treatment with 1.5% (w/w) aq. NaOCl for 2 h, was the most effective method and gave the purified cellulose sample with the highest leucometer whiteness value of 81.4 ± 4.8. The purified cellulose samples were analyzed using FT-IR, TGA, SEM, EDX, X-ray and water absorption at room temperature
Finite and Infinite Integral Formulas Involving the Family of Incomplete H-Functions
Get PDFRecent research focuses on the integral representations of the various type of special functions due to their potential applicability in different disciplines. In this line, we deal with several finite and infinite integrals involving the family of incomplete H-functions. Further, we point out some known and new special cases of these integrals. Finally, we establish the integral representation of incomplete H-functions
Some Quadratic Transformations and Reduction Formulas associated with Hypergeometric Functions
Get PDFIn this paper, we construct four summation formulas for terminating Gauss’ hypergeometric series having argument “two and with the help of our summation formulas. We establish two quadratic transformations for Gauss’ hypergeometric function in terms of finite summation of combination of two Clausen hypergeometric functions. Further, we have generalized our quadratic transformations in terms of general double series identities as well as in terms of reduction formulas for Kampé de Fériet’s double hypergeometric function. Some results of Rathie-Nagar, Kim et al. and Choi-Rathie are also obtained as special cases of our findings
Ruscheweyh-Goyal Derivative of Fractional Order, its Properties Pertaining to Pre-starlike Type Functions and Applications
Get PDFThe study of the operators possessing convolution form and their properties is considered advantageous in geometric function theory. In 1975 Ruscheweyh defined operator for analytic functions using the technique of convolution. In 2005, Goyal and Goyal generalized the Ruscheweyh operator to fractional order (which we call here Ruscheweyh-Goyal differential operator) using Srivastava-Saigo fractional differential operator involving hypergeometric function. Inspired by these earlier efforts, we discuss the properties of the Ruscheweyh-Goyal derivative of arbitrary order. We define a class of pre-starlike type functions involving the Ruscheweyh-Goyal fractional derivative and obtain the inclusion relation. Further, we prove that Ruscheweyh-Goyal derivative operator preserve the convexity and starlikeness for an analytic function. The majorization results for fractional Ruscheweyh-Goyal derivative has been discussed using a newly defined subclass
Existence and Stability Results of Nonlinear Fractional Differential Equations with Nonlinear Integral Boundary Condition on Time Scales
Get PDFIn this paper, we establish the existence and uniqueness of the solution to a nonlinear fractional differential equation with nonlinear integral boundary conditions on time scales.We used the fixed point theorems due to Banach, Schaefer’s, nonlinear alternative of Leray Schauder’s type and Krasnoselskii’s to establish these results. In addition, we study Ulam-Hyer’s (UH) type stability result. At the end, we present two examples to show the effectiveness of the obtained analytical results
Heat and Mass Transfer in Micropolar Model for Blood Flow Through a Stenotic Tapered Artery
Get PDFHeat and mass transfer in blood flow through a tapered artery with mild stenosis is examined. The blood is considered to be an incompressible, micropolar fluid flowing through a vessel with nonsymmetric axial and symmetric radial axes. The geometry of the model takes into account the shape parameter, tapered angle and height of the stenosis.The variation in the shape parameter is used to describe the changes in the axial shape of the stenosis in the artery. The governing equations for the model, comprising the continuity, momentum, energy, and mass transfer equations are transformed and simplified under the assumption of mild stenosis. Analytical solutions for the equations are obtained. The effect of different parameters on temperature, concentration, velocity, resistance, shear stress, pressure drop, Nusselt number, and Sherwood number are presented in graphical form, analysed and discussed. It is discovered that the blood temperature increases as micropolar spin parameter or the particle size increases. Also, its concentration is slowed down with an increase in the micropolar parameter or coupling number. The temperature in the converging artery is higher than that of diverging artery when compared under the same conditions
A Mathematical Model of Avian Influenza for Poultry Farm and its Stability Analysis
Get PDFThis paper aims to estimate the basic reproduction number for Avian Influenza outbreak in local and global poultry industries. In this concern, we apply the SEIAVR compartmental model which is developed based on the well-known SEIR model. The SEIAVR model provides the mathematical formulations of the basic reproduction number, final size relationship and a relationship between these two phenomena. The developed model Equations are solved numerically with the help of Range-Kutta method and the values of initial parameters are taken from the several literatures and reports. The calculated result of basic reproduction number shows that it is locally and globally stable if it is less than and greater than one at disease free equilibrium and at endemic equilibrium, respectively. Furthermore, we have compared among the calculated susceptive, expose, infective, removal, virus and asymptotic compartments where infection rate and expose period are observed very sensitive compared to other parameters. In addition, the model result of infective is compared with the field data and other’s model where the present model shows good performance against the field data
The Impact of Human Papillomavirus Educational Intervention Study on the Knowledge, Health Beliefs, Health Behaviors and Increasing the Use of Gardasil in Women of Color
Get PDFLack of human papillomavirus (HPV) knowledge and cervical cancer awareness are factors contributing to a disproportion in African American (AA) women with cervical cancer. The purpose of this intervention study was to use gender specific and culturally appropriate HPV educational materials to increase HPV knowledge and cervical cancer awareness, to increase health beliefs, and the intent for AA women to use the HPV vaccine. Convenience sampling was used to describe a sample of 98 AA women recruited from an Ambulatory Women’s health clinic between 2015 and 2017. HPV educational videos and pamphlets materials were used to collect baseline and post intervention knowledge using a self-administered questionnaire, video, and pamphlet. Results revealed an increase in HPV and cervical cancer knowledge, and recommended use of HPV vaccine with family members. HPV educational materials increased women’s knowledge of HPV and cervical cancer, increased healthy behaviors, and the intent to use HPV vaccine with family members, without personal intent to take the HPV vaccine. Future research is needed to examine the decrease in AA women’s’ intent to receive the HPV vaccine