The necessary optimality conditions with Lagrange multipliers are studied and derived for a new class that includes the system of Caputo–Katugampola fractional derivatives to the optimal control problems with considering the end time free. The formula for the integral by parts has been proven for the left Caputo–Katugampola fractional derivative that contributes to the finding and deriving the necessary optimality conditions. Also, three special cases are obtained, including the study of the necessary optimality conditions when both the final time and the final state are fixed. According to convexity assumptions prove that necessary optimality conditions are sufficient optimality conditions.
Many Iraqi students are reluctant to actively participate in the English
language classroom. This reluctance is attributed to a number of factors, above which
is students' lack of thinking skills necessary to express their points of view. This
eventually results in passive learning, a real problem in English language learning in
Iraq.
A need for educational reforms and innovations seems essential. These involve
developing relevant teaching materials, adopting learner-centered approach,
promoting learner autonomy, and enhancing critical thinking.
This study is hoped to assist teachers of English to initiate change and foster
the expansion of thinking, and adopt various new strategies to increase classroom
par
In this research , we tried to identify the meaning empowerment in the development literatures , and inquire the most enabling prominent actions to promote women , as we considered the most important international conferences that take up the subject of women's empowerment .
In the context of research on the subject of empowering women to occupy leadership positions , we tried to diagnose the target of the empowerment , and we clarify the correlation between human development and empowerment of women , also the research touched on the decision (1325) issued by the United Nations , which includes provisions regarding the importance of women participation at all levels in the process of decision-making .
We realized that there are so
Many Iraqi students are reluctant to actively participate in the English
language classroom. This reluctance is attributed to a number of factors, above which
is students' lack of thinking skills necessary to express their points of view. This
eventually results in passive learning, a real problem in English language learning in
Iraq.
A need for educational reforms and innovations seems essential. These involve
developing relevant teaching materials, adopting learner-centered approach,
promoting learner autonomy, and enhancing critical thinking.
This study is hoped to assist teachers of English to initiate change and foster
the expansion of thinking, and adopt various new strategies to increase classroom
par
In the present paper, we have introduced some new definitions On D- compact topological group and D-L. compact topological group for the compactification in topological spaces and groups, we obtain some results related to D- compact topological group and D-L. compact topological group.
This study discussed the importance of studying political thought and its stages of development
Research summed up as follows: Quranic personalities, as a source of learning resources, the researcher explained through it, Quranic personal importance, in terms of moral and educational values, or in terms of the lesson and sermon, and the nature of these characters through the values of good and evil. The first chapter: Definition of research: (the importance of research, the research problem, the goal of the research, the limits of the research, research methodology, the definition of terms). The second chapter: the Quranic personalities that are good in terms of: (view verses own personality, definition, interpretation of the verses, personal characteristics, and notes on personal features). The third chapter: sinister characters i
... Show Moreأن نظرة المرأة اليوم نحو الحمل والانجاب قد تغيرت نتيجة بعض العوامل وكان التلوث البيئي من أكثر العوامل تأثيرآ ، لانه يمثل أكثر الاخطار التي تبيد الجنس البشري وتقطع جذوره وتهدم سلالته الاصليه من خلال عملية التغاير في الجينات الوراثية وانتقالها عبر الاجيال . وأن أثاره لم تقتصر على الجانب الصحي للأم بل تعداه الى الجانب النفسي فاتجاهات الامهات اليوم نحو الحمل والانجاب ليس كما هو ف
... Show MoreThe effect of the tensor term in the Skyrme interaction has been estimated in calculating the static and dynamic nuclear properties in sd and fp-shell model spaces nuclei. The nuclear shell gaps have been studied with different Skyrme parameterizations; Skxta and Skxtb with tensor interaction, SkX, SkM, and SLy4 without tensor interaction, and Skxcsb with consideration of the effect of charge symmetry breaking. We have examined the stability of N = 28 for 42Si and 48Ca. The results showed that the disappearance of the magicity occurs in the shell closure of 42Si. Furthermore, excitation energy, quadrupole deformation, neutron separation energy, pairing energy, and density profile have also been calculated. Quadrupole deformation indicates a
... Show MoreThrough an experimental program of eighteen specimens presented in this paper, the bond strength between reinforcing bar and rubberized concrete was produced by adding waste tire rubber instead of natural aggregate. The fine and coarse aggregate was replaced in 0%, 25%, and 50% with the small pieces of a waste tire. Natural aggregate replacement ratio, rebar size, embedded rebar length, the rebar yield stress of rebar, cover, and concrete compressive strength were studied in this investigation. Ultimate bond stress, bond stress-slip response, and failure modes were presented. The experimental results reported that a reduction of 19% in bond strength was noticed in 50% replaced rubberized concrete compared with convention
... Show MoreReverse Osmosis (RO) has already proved its worth as an efficient treatment method in chemical and environmental engineering applications. Various successful RO attempts for the rejection of organic and highly toxic pollutants from wastewater can be found in the literature over the last decade. Dimethylphenol is classified as a high-toxic organic compound found ubiquitously in wastewater. It poses a real threat to humans and the environment even at low concentration. In this paper, a model based framework was developed for the simulation and optimisation of RO process for the removal of dimethylphenol from wastewater. We incorporated our earlier developed and validated process model into the Species Conserving Genetic Algorithm (SCG
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