The aim of this article is to solve the Volterra-Fredholm integro-differential equations of fractional order numerically by using the shifted Jacobi polynomial collocation method. The Jacobi polynomial and collocation method properties are presented. This technique is used to convert the problem into the solution of linear algebraic equations. The fractional derivatives are considered in the Caputo sense. Numerical examples are given to show the accuracy and reliability of the proposed technique.

The city of Ghana is one of the important commercial cities in the country of Sudan, as it was a major source of commercial exchanges, and a commercial mediator across the countries of the Maghreb and the metropolises of the countries of Sudan. Many, and most of them take the desert road,    Which traders had to endure the hardships of these roads from the insecurity, high winds and dust that sometimes destroyed the trade convoys, in order to obtain gold, which is one of the most important minerals that Ghana traded with various countries, in addition to the different goods that the merchants carried In particular, salt and its trade with Ghana, and also taxes, which were an important financial resource imposed by some gov

the contemporary Arab scholars deal with semiotics as an approach that helps them understand the texts, its meaning, and its structural functionalism . that’s why every now and then we find some
studies and researches using semiotics as an approach in study and comparatives, some of them even used the semiotic approach in analyzing old and new texts, while others think that semiotic holds and important place in critical approaches .
even though some of them considers semiotic just a trend of fashion this really didn’t lessen the value of semiotic as a scientific and procedural approach in literary and media studies as well as in analyzing literary and journalistic texts. for this reason it is considered as an important approa

The current research dealt with (the deliberative dimension of the visual sign in the contemporary Iraqi poster) in an attempt to identify the importance of the contemporary poster and the role of the international dimension of the visual sign of exceptional importance.
What is the international dimension of the visual mark?
- What is the effect of the visual label on the contemporary Iraqi poster?

The current research aims to identify the pragmatic dimension in the contemporary Iraqi poster.
Across the temporal and spatial research boundaries of the year (2000-2020) in Iraq. The limits of the objective research The limits of this study on the pragmatics in the visual sign and the determination of the relationship betwee

The present study aims at examining the stylistic development in the crafts of the sculptor Mohammed Ghani Hikmat. It gives answers to the following two questions: what is the nature of the stylistic development? And what are these principles and techniques led him to this development? The researcher has used the descriptive, analytic approach in examining the selected five samples out of the sculptor’s displayed crafts. The observational technique is used as a tool of examination. Among the main findings are: integrating space in the cubic crafts, represented by the existence of holes within this general construction of that space; the evident influence of critical contemporary orientations through the direct insertion of recipients i

The sciences related to the Book of God are many, and the benefits of every science in it are abundant, and among those sciences is the science of readings, which is for the sake of science and the most honorable, due to its strong attachment to the Book of God Almighty. From this care, and aims to show the attention of scholars to the science of readings in general and the scholars of the fifth century in particular, as the literature on it abounded until it became the principal for those who came after them.

The research consists of an introduction that includes the objectives of the research, the reasons for choosing it, previous studies, research questions, and research terms, then a preface dealing with the im

Background: The incisive canal is an anatomical structure with an important location in the anterior maxilla, analyzing this canal and its relation to the bone anterior to the canal is necessary during dental implant. Aim of this study is evaluated effect of gender, age and tooth loss in area of maxillary central incisors teeth on the dimensions of incisive canal and buccal bone anterior to the canal using spiral computed tomography. Materials and Methods: Sample consists of prospective study for 156 subjects for both gender, they divided into two groups, 120 dentate group (60 male and 60 female) with age ranging from (20-70) and 36 edentate group (with missing maxillary central incisors) (18 male and 18 female) with age ranging from (50-70

The current research aims to :
•know the level of social intelligence of the sample as a whole .
. •taraf statistically significant differences in social intelligence between disadvantaged and
non-disadvantaged peers .
To achieve these objectives, the selected sample of Talbhalmrahlh medium and specifically
students of the second grade average, were chosen randomly stratified's (360) students
included sex (male, female) and (deprived of the Father and the non-deprived) for the
academic year (2013-2014) for the province of Baghdad on both sides (Rusafa-Karkh (
As applied to them measurements of social intelligence, which is prepared by the researcher,
having achieved _khasaúsma of psychometric (valid and re