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The Necessary and Sufficient Optimality Conditions for a System of FOCPs with Caputo–Katugampola Derivatives

The necessary optimality conditions with Lagrange multipliers  are studied and derived for a new class that includes the system of CaputoKatugampola 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 CaputoKatugampola 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.

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Publication Date
Tue Jan 01 2019
Journal Name
Journal Of Global Pharma Technology
Synthesis of New Derivatives of Cephalexin with Isatin and Glycine Schiff Bases

Objectives: Two derivatives of cephalexin were synthesized by reaction with isatin-glycine Schiff base and bromoisatin-glycine Schiff base separately. Methods: Cephalexin was linked through the amine group to isatin glycine and bromoisatin glycine Schiff bases by amide bond formation. Results: These derivatives were characterized by FT-IR, H-NMR, elemental CHN analysis and then tested for their antimicrobial activity compared to cephalexin against gram-positive, gram-negative bacteria and Candida albicans fungi. Conclusion: The two compounds showed better activity against Staphylococcus aureus, compound 3b is more active against Escherichia coli, and compound 3a is more active against Klebsiella pneumonia.

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Publication Date
Wed Oct 01 2014
Journal Name
Iosr Journal Of Mathematics
Flow through an Oscillating Rectangular Duct for Generalized Oldroyd-B Fluid with Fractional Derivatives

The analytic solution for the unsteady flow of generalized Oldroyd- B fluid on oscillating rectangular duct is studied. In the absence of the frequency of oscillations, we obtain the problem for the flow of generalized Oldroyd- B fluid in a duct of rectangular cross- section moving parallel to its length. The problem is solved by applying the double finite Fourier sine and discrete Laplace transforms. The solutions for the generalized Maxwell fluids and the ordinary Maxwell fluid appear as limiting cases of the solutions obtained here. Finally, the effect of material parameters on the velocity profile spotlighted by means of the graphical illustrations

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Publication Date
Tue Feb 05 2019
Journal Name
Journal Of The College Of Education For Women
Ability to solve the problems of high orders for students of University

It is known that life is as series of variety of difficult problems that individual looks
forward to overcome so as to achieve adaptation and to reach the desired aims .The transition
of the students from the school stage to the stage of the university is actually regarded a
dramatic change where students face when they enter university life that differs from what
they lived in secondary school.
The executive functions are considered the main element that participate in solving the
problems of high orders , because it involves the mental abilities that assist individual to
think and initiative as well as solving problems .
These functions include operational planning and the activated memory and inhibition of
q

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Publication Date
Thu Aug 31 2023
Journal Name
Journal Of Legal Sciences
The Legal Subjectivity of the Iraqi State Council’s Fatwa in Disputes of a Financial Nature

The state council has gone through many development an stages in view of disputes in all its forms.

Whether of a financial nature or of an administrative nature it is within the jurisdiction of the ordinary judiciary to a specialty jurisdiction between the ordinary and administrative then to a general and comprehensive jurisdiction to the judiciary and to get to the corridors of this facts.

And to stop on the jurisdiction of the state council in settling disputes of a financial nature it should be determine what those conflicts are by defining it and then defining what falls within its competence of the state council or otherwise settled.

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Publication Date
Tue Feb 01 2022
Journal Name
Baghdad Science Journal
Ghrelin and Leptin and Their Relations with Insulin Resistance in Diabetes Mellitus Type 2 Patients

Ghrelin and leptin are hunger hormones related to type 2 diabetes mellitus (T2DM), and the pathogenesis of T2DM is the abnormality in insulin secretion and insulin resistance (IR). The aim of this study is to evaluate ghrelin and leptin concentrations in blood and to specify the relationship of these hormones as dependent variables with some biochemical and clinical measurements in T2DM patients. In this study, forty one T2DM and forty three non-diabetes mellitus (non-DM) subjects, aged between 40-60 years and with normal weight, were enrolled. Fasting serum ghrelin and leptin were estimated by enzyme-linked immunosorbent assay (ELISA). In our results ghrelin was significantly increased, and leptin was significantly decreased, in T2DM pa

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Publication Date
Wed Jan 01 2020
Journal Name
Journal Of Southwest Jiaotong University
A Recognition System for Subjects' Signature Using the Spatial Distribution of Signature Body

This investigation proposed an identification system of offline signature by utilizing rotation compensation depending on the features that were saved in the database. The proposed system contains five principle stages, they are: (1) data acquisition, (2) signature data file loading, (3) signature preprocessing, (4) feature extraction, and (5) feature matching. The feature extraction includes determination of the center point coordinates, and the angle for rotation compensation (θ), implementation of rotation compensation, determination of discriminating features and statistical condition. During this work seven essential collections of features are utilized to acquire the characteristics: (i) density (D), (ii) average (A), (iii) s

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Publication Date
Sat Dec 24 2022
Journal Name
Journal Of Legal Sciences
Commitment to what is Necessary As an Idea to Embody the Element of Morality in Law

Some actions do not come from the law, but rather from the moral will of a person, and these actions are necessary for people to do because a person is a moral being whose existence is determined by his relationship with values. And, since ethics is one of the normative sciences that link the end to the means, that is, of a person study is not limited to what is an object, or a current situation, but it should be. Therefore, task of a person is to set conditions that must be met in human will and actions in order to become the subject of legal and ethical rulings. This is because there is a close relationship between law and morality, and despite the absence of a legal rule that obliges individuals to do actions, such as extending a hand

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Publication Date
Thu Apr 20 2023
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Constraints Optimal Classical Continuous Control Vector Problem for Quaternary Nonlinear Hyperbolic System

This paper is concerned with the quaternary nonlinear hyperbolic boundary value problem (QNLHBVP) studding constraints quaternary optimal classical continuous control vector (CQOCCCV), the cost function (CF), and the equality and inequality quaternary state and control constraints vector (EIQSCCV). The existence of a CQOCCCV dominating by the QNLHBVP is stated and demonstrated using the Aubin compactness theorem (ACTH) under appropriate hypotheses (HYPs). Furthermore, mathematical formulation of the quaternary adjoint equations (QAEs) related to the quaternary state equations (QSE) are discovere  so as its weak form (WF) . The directional derivative (DD) of the Hamiltonian (Ham) is calculated. The necessary and sufficient conditions for

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Publication Date
Sat Dec 24 2022
Journal Name
Journal Of Legal Sciences
Legal System for Electoral Campaigns : A Comparative Study

Electoral campaigns are one of the stages of the electoral process, and it means the sum of the activities and activities carried out by the candidate or the political party within a period of time, usually one day or more before the polling date, according to the legislation. To vote for this candidate or party, and this process affects the results of the elections, whether parliamentary or presidential, because it targets the votes that lead the candidate or political party to a boost to the presidency of the state or the legislative authority, so that this right is not abused in promoting political ideas and visions, considering This is one of the branches of freedom of opinion and expression that is guaranteed by most constitutions.

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Publication Date
Thu Feb 01 2024
Journal Name
Bulletin Of Electrical Engineering And Informatics
A systematic literature review for smart hydroponic system

Hydroponics is the cultivation of plants by utilizing water without using soil which emphasizes the fulfillment of the nutritional needs of plants. This research has introduced smart hydroponic system that enables regular monitoring of every aspect to maintain the pH values, water, temperature, and soil. Nevertheless, there is a lack of knowledge that can systematically represent the current research. The proposed study suggests a systematic literature review of smart hydroponics system to overcome this limitation. This systematic literature review will assist practitioners draw on existing literature and propose new solutions based on available knowledge in the smart hydroponic system. The outcomes of this paper can assist future r

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