In this paper, a fixed point theorem of nonexpansive mapping is established to study the existence and sufficient conditions for the controllability of nonlinear fractional control systems in reflexive Banach spaces. The result so obtained have been modified and developed in arbitrary space having Opial’s condition by using fixed point theorem deals with nonexpansive mapping defined on a set has normal structure. An application is provided to show the effectiveness of the obtained result.

The purpose  of the research is interpretation of what quality transformations In the Arab commercial banks' management, and determine which fields that have been achieved in the third millennium, and elicitation the governance trends for future vision to manage them and estimate the expected value for these transformations, the importance of the idea of ​​research in investment the implicit and the apparent of practical knowledge stocks in the minds of managers by specialized language with the application of electronic business philosophy in response to the challenges of the information age and who should occupies those banks the center of Arab leadership and excellence, and try to upgrade to command centers in their co

If the sovereignty of the state is reflected in the taxation of its citizens, this sovereignty can not be completed and completed only if it works on its part to collect its debts, whether voluntary or compulsory, and the debt of the debt arises from the will of the individual and the will of the state alone, The existing management of seizure and collection is based on an unequal relationship between the State and the debtor from which the obligation arises. Naturally, this relationship has obligations and rights on both parties. The researcher used a set of studies and previous research, books and other sources related to the subject of research. This was done through the theoretical and practical aspects, which focused on direct and i

Periodontitis is a persistent bacterial-causing disease which damages the supporting periodontium of the teeth. The complexity of supporting tissue structure makes the regeneration a challenge for periodontists. Early investigations were focused on discovering therapeutic substitutes that are biocompatible, simple to prepare and economic. This might cause a local release of growth factors that accelerate the healing process of the soft and hard tissue. Recently, platelet-rich fibrin (PRF) has received a wide attention as a biocompatible regenerative material in both dental and medical fields. PRF is a natural fibrin-derived biomaterial, and it is easy to obtain. It can be gotten from individual blood without the use of any external anticoag

The rapid breakthrough achieved by technological progress in the field of designing and implementing women's fashion has resulted in the emergence of the need for quality control and control to improve the completed visual image of fashion as an aesthetic and functional product and not clothed in its abstract qualities.
The quality in women’s fashion and the importance of showing the design and conveying the design message to the recipient depends on the level of its implementation, starting from the selection of textile fibers and determining their appropriate characteristics for the functional purpose and design prepared by the designer and ending with the final operations of the costume. This calls for spreading awareness and c