This study presents a practical method for solving fractional order delay variational problems. The fractional derivative is given in the Caputo sense. The suggested approach is based on the Laplace transform and the shifted Legendre polynomials by approximating the candidate function by the shifted Legendre series with unknown coefficients yet to be determined. The proposed method converts the fractional order delay variational problem into a set of (n + 1) algebraic equations, where the solution to the resultant equation provides us the unknown coefficients of the terminated series that have been utilized to approximate the solution to the considered variational problem. Illustrative examples are given to show that the recommended approach is applicable and accurate for solving such kinds of problems.
—This paper studies the control motion of a single link flexible joint robot by using a hierarchical non-singular terminal sliding mode controller (HNTSMC). In comparison to the conventional sliding mode controller (CSMC), the proposed algorithm (NTSMC) not only can conserve characteristics of the convention CSMC, such as easy implementation, guaranteed stability and good robustness against system uncertainties and external disturbances, but also can ensure a faster convergence rate of the systems states to zero in a finite time and singularity free. The flexible joint robot (FJR) is a two degree of freedom (2DOF) nonlinear and underactuated system. The system here is modeled as a fourth order system by using Lagrangian method. Based on t
... Show MoreThe she/teacher is considered one of the basics of the educational process for its essential role in education and teaching the kindergarten child, thus its lack to construct social relations in side the kindergarten environment working in it regarded one of the shortcoming factors she is suffering from which should be manipulated, because it could effect its enthusiasm to work in the kindergarten according to what has mentioned, the researcher presents the following objective:-
- Identifying level of social enhancement for the kindergarten teachers via the test of the following hypothesis:-
Abstract
The research aims to determine the nature of the Iraqi market in terms of banking financial stability and the extent impact of the operational efficiency on it, Accordingly, chosen 15 relational banks were chosen as an intentional sample that could represent the Iraqi banking system for the period 2010-2020. The operational efficiency variable was measured according to the data envelope model, and banking financial stability used CAMELS model which includes five indicators (capital adequacy, asset quality, management quality, profitability, and liquidity), so for testing the research hypotheses used the random regression model by adopting the S
... Show MoreIn This paper, we introduce the associated graphs of commutative KU-algebra. Firstly, we define the KU-graph which is determined by all the elements of commutative KU-algebra as vertices. Secondly, the graph of equivalence classes of commutative KU-algebra is studied and several examples are presented. Also, by using the definition of graph folding, we prove that the graph of equivalence classes and the graph folding of commutative KU-algebra are the same, where the graph is complete bipartite graph.
يهتم هذا البحث بدراسة الأجوبة المسكتة,وهي أجوبة سريعة وحاسمة تقطع حجة الخصم وتفحمه وتغلقالحوار.وقد أرتكز البحث على منهجية تداولية تنظرإلى فاعلية الجواب المسكت في المحاورة وإنهائها من زواياإنجازية و حجاجية.وقد تكون البحث من ديباجة ممهدةوثلاثة مباحث.وسلطتالديباجةالممهدةالضوء علىمفهومالجواب المسكتوشيوعهفي كتب الأدبوالأخبارونوادر الكلاموكيف يمكن النظر لهبوصفه وحدة حوارية تنبنيمنها المحادثة؟أما المبحث ا
... Show MoreBelgium is one of the countries that headed towards federalism through a peaceful transition, and over a few decades the country has witnessed deep transformations in its institutions, from a unified and central state in the early nineteenth century to a federal union, regional operations began since 1970 up and constitutionally established its diversity Linguistic and regional, the so -called "state reforms" have been implemented, which led to the emergence of political repercussions. The country has suffered about two decades ago, which caused many national governments that are considered to be among the Luxor in the modern political history of Belgium, However, institutional reforms to achieve the stability of the political system began,
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