In this paper, our aim is to study variational formulation and solutions of 2-dimensional integrodifferential equations of fractional order. We will give a summery of representation to the variational formulation of linear nonhomogenous 2-dimensional Volterra integro-differential equations of the second kind with fractional order. An example will be discussed and solved by using the MathCAD software package when it is needed.

            In this paper the definition of fuzzy anti-normed linear spaces and its basic properties are used to prove some properties of a finite dimensional fuzzy anti-normed linear space.    

This paper aims to validate a proposed finite element model to be adopted in predicting displacement and soil stresses of a piled-raft foundation. The proposed model adopts the solid element to simulate the raft, piles, and soil mass. An explicit integration scheme has been used to simulate nonlinear static aspects of the piled-raft foundation and to avoid the computational difficulties associated with the implicit finite element analysis.

The validation process is based on comparing the results of the proposed finite element model with those of a scaled-down experimental work achieved by other researchers. Centrifuge apparatus has been used in the experimental work to generate the required stresses to simulate t

The huge competition in the field of services' provision and the strong motive for survival, continuity and evolution requires the search for effective methods by which the professionals can meet within legal frameworks that achieve effective guarantees in order to provide services to the public that based on the knowledge and efficiency of the company members, such as law firms, engineering and accounting consultants.

The professional may confront with a number of practical difficulties when starting a specific professional activity individually, which would require concerted efforts and teamwork within the framework of an organization known as the professional company.

Thus, the practice of the professional activity in

Since the emergence of the science of international relations as an independent academic scientific field,  various theories and trends have appeared and have tried to understand and explain the international reality and give a clear picture of what is happening within the international system of interactions and influences and the search for tools for stability and peace in international relations. Among these theories is the feminist theory, which is a new intellectual trend on the level of international relations theories,  which tried to give an explanation of what is happening in world politics and in international relations in particular. The main issue that feminist theory is concerned with is the lack of women’s subordination

Amoebas live freely in different climates and parts of the world. Several species of Free Living Amoeba (FLA) are capable of causing serious as well as fatal infections in human beings. The aim of this study was to identify and compare genotypes of water-polluting FLA in major rivers and lakes of Iraq and compare them with FLA isolates from Iran and Turkey. For this purpose, the study included 20 water samples from the Tigris River, Euphrates River , Najaf Sea and Dukan lake in Iraq, 20 water samples from  Marivan, Velasht, and Soleimanshah lakes and Caspian sea in Iran, and 20 water samples from Sabanca, Seyfi , Hazar and Yay lakes in Turkey. The samples were studied by culture methods, invert microscope, and molecular methods.

The expressive discourse, in the form of the rural singing, is considered one of the interactive framework and the metaphorical dialogues in creating the aesthetic climate that connects the circles of its basic elements, singing, playing music, expression, costumes, sham movements and so forth.  

     The rhetorical language in this field includes all those parts and turns them into an integrated idea within the culture of the musical science, specifically the heart of the rural singing. This research dealt with a number of topics of relevance in the expressive discourse for the form of the rural singing. The first chapter consists of the methodological framework of the research, represented by the r