Fractional difference inequalities of Gronwall-Bellman type

Discrete inequalities, in particular the discrete analogues of the Gronwall–Bellman inequality, have been extensively used in the analysis of nite difference equations. The aim of the present paper is to establish some fractional difference inequalities of Gronwall–Bellman type which provide explicit bounds for the solutions of fractional difference equations

Fractional Order Difference Equations

A difference equation is a relation between the differences of a function at one or more general values of the independent variable. These equations usually describe the evolution of certain phenomena over the course of time. The present paper deals with the existence and uniqueness of solutions of fractional difference equations

Mortality and pulmonary complications in patients undergoing surgery with perioperative SARS-CoV-2 infection: an international cohort study

Background: The impact of severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) on postoperative recovery needs to be understood to inform clinical decision making during and after the COVID-19 pandemic. This study reports 30-day mortality and pulmonary complication rates in patients with perioperative SARS-CoV-2 infection. Methods: This international, multicentre, cohort study at 235 hospitals in 24 countries included all patients undergoing surgery who had SARS-CoV-2 infection confirmed within 7 days before or 30 days after surgery. The primary outcome measure was 30-day postoperative mortality and was assessed in all enrolled patients. The main secondary outcome measure was pulmonary complications, defined as pneumonia, acute respiratory distress syndrome, or unexpected postoperative ventilation. Findings: This analysis includes 1128 patients who had surgery between Jan 1 and March 31, 2020, of whom 835 (74·0%) had emergency surgery and 280 (24·8%) had elective surgery. SARS-CoV-2 infection was confirmed preoperatively in 294 (26·1%) patients. 30-day mortality was 23·8% (268 of 1128). Pulmonary complications occurred in 577 (51·2%) of 1128 patients; 30-day mortality in these patients was 38·0% (219 of 577), accounting for 81·7% (219 of 268) of all deaths. In adjusted analyses, 30-day mortality was associated with male sex (odds ratio 1·75 [95% CI 1·28–2·40], p\textless0·0001), age 70 years or older versus younger than 70 years (2·30 [1·65–3·22], p\textless0·0001), American Society of Anesthesiologists grades 3–5 versus grades 1–2 (2·35 [1·57–3·53], p\textless0·0001), malignant versus benign or obstetric diagnosis (1·55 [1·01–2·39], p=0·046), emergency versus elective surgery (1·67 [1·06–2·63], p=0·026), and major versus minor surgery (1·52 [1·01–2·31], p=0·047). Interpretation: Postoperative pulmonary complications occur in half of patients with perioperative SARS-CoV-2 infection and are associated with high mortality. Thresholds for surgery during the COVID-19 pandemic should be higher than during normal practice, particularly in men aged 70 years and older. Consideration should be given for postponing non-urgent procedures and promoting non-operative treatment to delay or avoid the need for surgery. Funding: National Institute for Health Research (NIHR), Association of Coloproctology of Great Britain and Ireland, Bowel and Cancer Research, Bowel Disease Research Foundation, Association of Upper Gastrointestinal Surgeons, British Association of Surgical Oncology, British Gynaecological Cancer Society, European Society of Coloproctology, NIHR Academy, Sarcoma UK, Vascular Society for Great Britain and Ireland, and Yorkshire Cancer Research

Analysis of Discrete Mittag - Leffler Functions

Discrete Mittag - Leffler functions play a major role in the development of the theory of discrete fractional calculus. In the present article, we analyze qualitative properties of discrete Mittag - Leffler functions and establish sufficient conditions for convergence, oscillation and summability of the infinite series associated with discrete Mittag - Leffler functions

Enhancing Farmer Income through Value Addition to Rice in Khammam District, India

Rice is the staple food to half of world’s population providing more than one fifth of the calories consumed worldwide. Cereal grains are rich sources of phenolic compounds present in cell walls that help in combating many life style diseases occurring due to oxidative stress. Rice has been domesticated more than 10000 years ago but even today the farmers prefer selling freshly harvested paddy at a lower price. Few entrepreneurial farmers have come up with the idea of primary processing the paddy as semi polished and brown rice that can fetch them more profits along with providing health benefits. Each Kg of paddy, white, semi polished and brown rice cost Rs. 17 – 18.50, 46 – 48, 58 – 60 and 65 respectively. Similarly, one Kg of brokens get Rs. 15, bran Rs. 12 during season and Rs. 20 during off season. The rice without any processing fetched the farmer profit of about Rs. 24400 to 36000 on an average per acre. But if the farmer subjected the rice to primary processing and sold as white, semi polished or brown rice, the profits generated per acre were Rs. 57156 – 66480 Rs. Rs. 82996 – 102400and Rs. 105910 – 120400 can be generated. As can be seen the decrease in processing produced lower quantity of brokens and bran and income from them was comparatively lower than on processed rice indicating that there can be rise in income with minimal processing with added health benefits. There can an increase in profits by 4 to 5 times due to primary processing benefiting the paddy growers. The white, semi polished and brown rice can increase the income of farmer by 76.92, 127.79 and 161.58% per one bag of paddy weighing 75 Kg. There was a significant decrease in brokens and bran produced in semi polished and brown rice that actually fetch less prize than the actual produce. The growing awareness of consumers towards health foods, improved eating habits and health consciousness is expanding brown rice market at higher compounded annual growth rate (CAGR) compared to overall rice market

Synthesis of novel 1,3-thiazole-triazole and 1,3-thiazole-isoxazole hybrids

811-815A focused library of thirteen compounds, 3-((1-benzyl-1H-1,2,3-triazol-4-yl)methyl)-4-arylthiazol-2(3H)-ones (6a-j) and 4-aryl-3-((3-arylisoxazol-5-yl)methyl)thiazol-2(3H)-one hybrids has been synthesized. Their chemical structures have been confirmed by HR-MS, IR, 1H and 13C NMR spectra