A Novel Approach for Solving Volterra Integral Equations Involving Local Fractional Operator

The paper presents an approximation method called local fractional variational iteration method (LFVIM) for solving the linear and nonlinear Volterra integral equations of the second kind with local fractional derivative operators. Some illustrative examples are discussed to demonstrate the efficiency and the accuracy of the proposed method. Furthermore, this method does not require spatial discretization or restrictive assumptions and therefore reduces the numerical computation significantly. The results reveal that the local fractional variational iteration method is very effective and convenient to solve linear and nonlinear integral equations within local fractional derivative operators

Local Fractional Variational Iteration Method for Solving Nonlinear Partial Differential Equations within Local Fractional Operators

In this article, the local fractional variational iteration method is proposed to solve nonlinear partial differential equations within local fractional derivative operators. To illustrate the ability and reliability of the method, some examples are illustrated. A comparison between local fractional variational iteration method with the other numerical methods is given, revealing that the proposed method is capable of solving effectively a large number of nonlinear differential equations with high accuracy. In addition, we show that local fractional variational iteration method is able to solve a large class of nonlinear problems involving local fractional operators effectively, more easily and accurately, and thus it has been widely applicable in engineering and physics

A New Approach for Solving System of Local Fractional Partial Differential Equations

In this paper, we apply a new method for solving system of partial differential equations within local fractional derivative operators. The approximate analytical solutions are obtained by using the local fractional Laplace variational iteration method, which is the coupling method of local fractional variational iteration method and Laplace transform. Illustrative examples are included to demonstrate the high accuracy and fast convergence of this new algorithm. The obtained results show that the introduced approach is a promising tool for solving system of linear and nonlinear local fractional differential equations. Furthermore, we show that local fractional Laplace variational iteration method is able to solve a large class of nonlinear problems involving local fractional operators effectively, more easily and accurately; and thus it has been widely applicable in physics and engineering

Synthesis and Characterization of Some New Monemer and Polymers Containing Hetero Cyclic Rings With Study of Their Physical Properties.

Number of new polyester and polyamide are prepared as derivatives from 5,5`-(1,4-phenylene)-bis-(1,3,4-thiadiazole-2-amine) [C1], three series of heterocyclic compounds were synthesized.The first series includes the Schiff base [C2] prepared from the reaction between compound [C1] with p-hydroxy benzaldehyde in presence of acetic acid and absolute ethanol , then these derivatives have reaction with maleic anhydride , phthalic anhydride and sodium azide, respectively to obtain the compounds [C3-5] contaning (oxazepine and tetrazole) rings.The third series of compounds [C1-5] has transformed to their polymers [C6-15] by reaction with adipoyl chloride and glutroyl chloride , respectively. The reaction was followed by T.L.C and identified by FT-IR , 1H-NMR ,C.H.N analysis , softening point , viscosity, TGA , DSC and X-ray

Spectrophotometric study on reaction of non-naturally haem proteins with thiols in aqueous solutions .

Spectrophotometric titrations of dilute solution of tetra (p-sulphonaphthyl) porphinato Iron (II) [ TNPS4 Fe (II) ] in the presence of a large excess of thiols at high (PH=12.8) were studied. Evidence for high spin five coordinate iron (II) complexes were found . Thermodynamic parameters and stability constants , refer to exothermic reaction with negative values of ∆H and ∆G. LogKF , Log KD and (n) number of bounded ligands were calculated , and found to be (n=1-1.3) , which were assigned to five and six coordinate to the iron (II) atom. These results are discussed in relation to the high spin iron (II) state in the catalytic cycle of cytochrome (p-450

Intraperitoneal drain placement and outcomes after elective colorectal surgery: international matched, prospective, cohort study

Despite current guidelines, intraperitoneal drain placement after elective colorectal surgery remains widespread. Drains were not associated with earlier detection of intraperitoneal collections, but were associated with prolonged hospital stay and increased risk of surgical-site infections.Background Many surgeons routinely place intraperitoneal drains after elective colorectal surgery. However, enhanced recovery after surgery guidelines recommend against their routine use owing to a lack of clear clinical benefit. This study aimed to describe international variation in intraperitoneal drain placement and the safety of this practice. Methods COMPASS (COMPlicAted intra-abdominal collectionS after colorectal Surgery) was a prospective, international, cohort study which enrolled consecutive adults undergoing elective colorectal surgery (February to March 2020). The primary outcome was the rate of intraperitoneal drain placement. Secondary outcomes included: rate and time to diagnosis of postoperative intraperitoneal collections; rate of surgical site infections (SSIs); time to discharge; and 30-day major postoperative complications (Clavien-Dindo grade at least III). After propensity score matching, multivariable logistic regression and Cox proportional hazards regression were used to estimate the independent association of the secondary outcomes with drain placement. Results Overall, 1805 patients from 22 countries were included (798 women, 44.2 per cent; median age 67.0 years). The drain insertion rate was 51.9 per cent (937 patients). After matching, drains were not associated with reduced rates (odds ratio (OR) 1.33, 95 per cent c.i. 0.79 to 2.23; P = 0.287) or earlier detection (hazard ratio (HR) 0.87, 0.33 to 2.31; P = 0.780) of collections. Although not associated with worse major postoperative complications (OR 1.09, 0.68 to 1.75; P = 0.709), drains were associated with delayed hospital discharge (HR 0.58, 0.52 to 0.66; P < 0.001) and an increased risk of SSIs (OR 2.47, 1.50 to 4.05; P < 0.001). Conclusion Intraperitoneal drain placement after elective colorectal surgery is not associated with earlier detection of postoperative collections, but prolongs hospital stay and increases SSI risk

Reduced differential transform method for partial differential equations within local fractional derivative operators

The non-differentiable solution of the linear and non-linear partial differential equations on Cantor sets is implemented in this article. The reduced differential transform method is considered in the local fractional operator sense. The four illustrative examples are given to show the efficiency and accuracy features of the presented technique to solve local fractional partial differential equations

O P E N A C C E S S The influence of cultural and social factors on healthy lifestyle of Arabic women

ABSTRACT Cardiovascular diseases are the leading cause of mortality and morbidity globally. Similar to other Western and Gulf countries, the incidence of cardiovascular disease and coronary artery diseases such as acute myocardial infarction is rising rapidly in Qatar. Diabetes mellitus, smoking, and hypertension are the most common risk factors causing acute myocardial infarction, congestive heart failure, and stroke. Additionally, obesity resulting from physical inactivity and unhealthy diet can lead to metabolic changes and raise the risk of heart diseases. Studies show that these health problems can be prevented and/or controlled by modifying lifestyle risk behaviours related to physical activity, diet, and smoking habits. The ultimate goal of this study was to find ways to effectively promote cardiovascular/coronary artery disease prevention and management activities among Qatari women by exploring factors affecting the ways in which Qatari women (citizen and resident Arabic women) participate in physical activities, healthy diet and smoking. An exploratory qualitative research approach using a semi-structured questionnaire consisting of open-ended questions was used in this study. Study participants included 50 Qatari women, 30 years of age and over, having a confirmed diagnosis of coronary vascular disease /coronary artery diseases. Results showed that socio-cultural factors play a key role in Qatari women's decisions to participate in healthy lifestyles. Counselling and guidance for patients by health care providers, especially physicians, regarding smoking cessation, weight loss, and exercise should be key interventions to modify lifestyle behaviors among cardiac patients. Keywords: cardiovascular diseases, coronary artery diseases, healthy lifestyle, Qatari women, Arabic women, physical activities, diet, smoking INTRODUCTION Studies show that in Qatar, cardiovascular diseases are the leading cause of mortality and morbidity Excessive weight gain and obesity as a result of physical inactivity and unhealthy diet can lead to metabolic changes and raise the risk of heart disease [10]. This is a concern for Qatari women of whom, according to the WHS Although both sheesha (water-pipe) and cigarette smoking are contributing factors to heart disease, sheesha smoking is increasing across the Eastern Mediterranean region, especially among wome