In this paper, we consider a new approach to solve type of partial differential equation by using coupled Laplace transformation with decomposition method to find the exact solution for non–linear non–homogenous equation with initial conditions. The reliability for suggested approach illustrated by solving model equations such as second order linear and nonlinear Klein–Gordon equation. The application results show the efficiency and ability for suggested approach.

يدور هذا البحث حول خواص البولي ايثيلين (PE) باستخدام اللاكتام مع مركبات أكسيد النانو المعدنية المستخرجة من نبات (القرنفل) وهي براعم زهرة شجرة القرنفل كمثبت وعامل اختزال . حيث يستقر أكسيد النانو ويغطي البوليمر الطبيعي. الهدف من الدراسة هو أن أكسيد النانو يؤدي أفضل ترابط للمركبات المحضرة ، بسبب زيادة مساحة السطح ، وبالتالي القدرة على الارتباط بالبوليمر المحضر. والقدرة على الثبات الإلكتروني بسبب كثرة الروابط

Background: Polyetheretherketone (PEEK) is a promising implant material due to its superior biomechanical strength. However, due to its hydrophobic nature and lack of cellular adhesion properties, it has poor integration with bone tissue. Methods: A fractional CO2 laser was used with various parameters for surface texturing of PEEK substrate to enhance its surface properties. An optical microscope and field-emission scanning electron microscope (FESEM) were used to examine the surface morphology of untextured and laser-textured samples. Energy dispersive X-ray spectroscopy (EDX) was performed to determine the effect of the laser on the microstructure of PEEK. Surface microroughness, atomic force microscopy (AFM), and wettability were invest

In this article, the solvability of some proposal types of the multi-fractional integro-partial differential system has been discussed in details by using the concept of abstract Cauchy problem and certain semigroup operators and some necessary and sufficient conditions.