Existence, uniqueness and stability results for fractional nonlinear Volterra-Fredholm integro-differential equations

In this paper, we establish some new conditions for the existence and uniqueness of solutions for a class of nonlinear Caputo fractional Volterra-Fredholm integrodifferential equations with integral boundary conditions. The desired results are proved by using Banach and Krasnoselskii’s fixed point theorems. In addition, the Ulam-Hyers stability and Ulam-Hyers-Rassias stability for solutions of the given problem are also discussed. An example is presented to guarantee the validity of our results.Publisher's Versio

Some new results on nonlinear fractional iterative Volterra-Fredholm integro differential equations

In this paper, we establish some new results concerning the existence and uniqueness of the solutions of iterative nonlinear Volterra-Fredholm integro differential equations subject to the initial conditions. The fractional derivatives are considered in the Caputo sense. Also these new results are obtained by applying the GronwallBellman’s inequality and the Banach contraction fixed point theorem. Moreover, the results of references [16, 17, 27] appear as a special case of our results.Emerging Sources Citation Index (ESCI)MathScinetScopu

IDIOMS AND CULTURE: EXPLORING THE INTER-INFLUENCE BETWEEN ENGLISH AND OTHER LANGUAGES

Purpose of the study: The aim of this paper is to study the interplay of multilingual idioms through source and time with a caveat that it is an endless pursuit. Methodology: In this research, logical analysis and modeling are used. Results: For the very reason that idioms are formed in a context, such learners and users must be very careful while using them. It is important for them to be well versed with the nuances and fine points of the foreign language before they venture into the use of idioms. Also, straightaway translating idioms from one’s native language into a foreign language can truly lead to disastrous communication glitches. Applications of this study: This research can be used for the universities, teachers, and students. Novelty/Originality of this study: In this research, the model of the Idioms and culture is presented in a comprehensive and complete manner

Numerical Simulation on Conventional Ventilation System for Hospital Operating Room

Communities in the poor countries suffer from poor quality of health services. In the Republic of Yemen as one of those countries, some hospitals especially medium and small suffer of many problems which adversely affect health community life. This paper presents a case study conducted in a hospital operating room in Yemen, also computational fluids dynamics (CFD) analysis of the airflow, and temperature distribution are presented and discussed. The operating room model includes a patient lying on an operating table, four surgical staff, two air supply and four air exhausts. Results of simulation show a good agreement with experimental data from the literature and adopted standard. It is found that the airflow and air velocity significantly affects the thermal comfort of all workers in the operating room. Therefore, the air that enters the operating room is very importance and affects the room temperature. It is observed that the application of CFD in hospitals will give rise to design the internal environment and improved health outcomes especially in a country like Yemen

Chloride-induced reinforcement corrosion in blended cement concretes expores to chloride-sulfate environments

This paper reports the results of a study conducted to investigate the influence of sulphate concentration and associated cation type on chloride-induced reinforcement corrosion in blended cement concretes. Reinforced concrete specimens were exposed to chloride plus sulphate solutions for a period of 1200 days. The exposure solutions contained a fixed concentration of 5% sodium chloride and the sulphate concentration was varied from 0 to 4% SO4 2 . The effect of cation type associated with sulphate ions, namely Naþ and Mgþþ, on chloride-induced reinforcement corrosion was also evaluated. Reinforcement corrosion was assessed by measuring corrosion potentials and corrosion current density at regular intervals. The results indicated that the presence of sulphate ions in the chloride solution increased the corrosion current density, but no significant effect on the time to initiation of reinforcement corrosion was noted. Further, the corrosion current density increased with increasing sulphate concentration and the period of exposure. The corrosion current density on steel in the blended cement concrete specimens was much less than that in the plain cement concrete specimens, indicating that the corrosion resistance of blended cements was much better than that of plain cements. The cation type associated with sulphate ions did not significantly influence either the initiation or rate of reinforcement corrosion

Some New Existence, Uniqueness and Convergence Results for Fractional Volterra-Fredholm Integro-Differential Equations

This paper demonstrates a study on some significant latest innovations in the approximated techniques to find the approximate solutions of Caputo fractional Volterra-Fredholm integro-differential equations. To this aim, the study uses the modified Adomian decomposition method (MADM) and the modified variational iteration method (MVIM). A wider applicability of these techniques are based on their reliability and reduction in the size of the computational work. This study provides an analytical approximate to determine the behavior of the solution. It proves the existence and uniqueness results and convergence of the solution. In addition, it brings an example to examine the validity and applicability of the proposed techniques

An exploratory study of a NoSQL database for a clinical data repository

The need to implement a distributed Clinical Data Repository (CDR) at a healthcare facility, rose in large part due to the high volume of data and the discrepancy of their sources. Over the years, Relational Database Management Systems (RDBMS) began to present difficulties in responding to the needs of various organizations when it comes to manipulating a large amount of data and to its scalability. Therefore, it was necessary to explore other techniques to choose the appropriate technology to build the CDR. In this way, NoSQL emerged as a new type of database that is quite useful to work with multiple and different types of data. In addition, NoSQL introduces a number of user-friendly features such as a distributed, scalable, elastic and also fault tolerant system. In this way, Oracle NoSQL Database was the NoSQL solution chosen to develop this case study, using the key-value storage. This article was motivated to propose a CDR architecture based on Oracle NoSQL Database functionalities. A one-single node database was deployed for better comprehension, in order to enhance their features for future implementation.The work has been supported by FCT – Fundação para a Ciência e Tecnologia within the Project Scope UID/CEC/00319/2019 and DSAIPA/DS/0084/2018

Analyzing Phytohormone Levels in Fruits of Date Palm Phoenix dactylifera L. Derived from Tissue Culture under Different Pollination Treatments

This study evaluated three male date palm varieties, namely, Red-Ganami, Red-Ganami + Khakri Al-Adi and Red-Ganami + Al-Canary, in three age of spathes  (early, late and middle) in a private orchard at Al-Seebah district, Basrah province. The plants were subjected to two pollination dates immediately after opening of female flowers and three days after opening of female flowers. The contents of auxin-like substances, gibberellin and abscisic acid in the flowers were determined. The second pollination date resulted in the highest contents of auxins, gibberellins and abscisic acid, with values of 24.305, 138.660 and 12.355 µg.gm-1, respectively. The mixture of Red-Ganami + canary cultivars had the highest concentrations of auxin 24.512 µg.gm -1 and gibberellins 136.842 µg.gm-1, whereas Red-Ganami had the highest concentration of abscisic acid 3.554 μg.gm-1. Early age of spathes showed significant differences in the concentrations of auxin and abscisic acid, with average values of 26.015 and 14.031 µg.gm-1, respectively. Late postmenopausal age recorded the highest concentration of gibberellins at 136.842 μg.gm-1. For the two- and three-way interactions, a statistically significant superiority was observed in most of the study coefficients. In conclusion, the contents of auxins, gibberellins and abscisic acid significantly differed with the pollination date and the pollin cultivar combinations showed the highest concentrations of these substances. The different ages of male puberty also affected pollination and fertilizatio