On Global Existence of the Fractional Reaction-Diffusion System’s Solution

The purpose of this paper is to prove the global existence of solution for one of most significant fractional partial differential system called the fractional reaction-diffusion system. This will be carried out by combining the compact semigroup methods with some L1-estimate methods. Our investigation can be applied to a wide class of fractional partial differential equations even if they contain nonlinear terms in their constructions

Clinical and biochemical features of type 2 diabetic patients in Gaza Governorate, Gaza Strip

BACKGROUND: Diabetes is a multifactorial disease characterized by severalmetabolic disorders. Its prevalence rate in Gaza Strip is alarming. OBJECTIVE: To describe the clinical and biochemical features of patients with Type 2 diabetes in Gaza Governorate. METHODS: Data were obtained through a questionnaire interview, patients’ records and of 99 type 2 diabetes patients and 95 healthy individuals. RESULTS: Family history and obesity were risk factors for diabetes. The mean age at diagnosis was 41.7±8.1 years. Fifty five (55.6%) patients had diabetes since d” 5 years. Distribution of diagnosed diabetic complications was low. Micro-and macroalbuminuria in controls and patients (8.4 v 22.2% and 9.5 v 22.2%, respectively) were associated with diabetes (÷ 2= 7.06, P= 0.007 and÷ 2= 5.87, P= 0.015, respectively). HbA1c% was significantly higher in diabetics (6.93+ 1.22 v 5.36+ 0.57, p< 0.001). Serum urea and creatinine were significantly decreased in diabetics than controls (mean= 23.5±6.9 v 27.2±7.4 and 0.49±0.15 v 0.58±0.14,% differences= 13.6 and 15.5, respectively, p= 0.000). Alkaline phosphatase (ALP) was increased in diabetics (136.9±38.7 v 117.4±23.5,% difference= 16.6, p= 0.001). Cholesterol, triglycerides and low density lipoprotein cholesterol (LDLC) were significantly higher in diabetics (207.6±36.5, 184.1±104.5 and 124.6±32.9) than controls (181.2±39.1, 139.8±76.1 and 102.2±37.4) with% differences of 14.6, 31.7 and 21.9%, respectively, p< 0.001. In contrast, high density lipoprotein cholesterol (HDLC) was significantly lower in diabetics (42.6±7.8 v 48.2±5.7,% difference= 11.6 and p< 0.001). CONCLUSIONS: Diabetes

A novel analytical approach for solving partial differential equations via a tensor product theory of Banach spaces

In this paper, we aim to propose a novel analytical method for obtaining atomic solutions to partial differential equations. A theory of tensor products in Banach spaces is utilized and some properties of atom operators are studied to achieve our goals. The proposed scheme is demonstrated through illustrative examples of inhomogeneous partial differential equations. The approach is indeed quite direct and effective in exactly solving partial differential equations

Fractional Ostrowski type inequalities for functions whose mixed derivatives are prequasiinvex functions

In this paper, the authors introduce two new classes of generalized convexfunctions of two independent variables, and establish a new integralidentity, from which they derive some new fractional Ostrowski's integralinequalities for functions whose second derivatives are in these new classesof functions