scholarly journals Determination of the order of fractional derivative for subdiffusion equations

2020 ◽  
Vol 23 (6) ◽  
pp. 1647-1662
Author(s):  
Ravshan Ashurov ◽  
Sabir Umarov
Keyword(s):  
Fractional Derivative ◽  
Fixed Time ◽  
Time Instant ◽  
Observation Data ◽  
Additional Information ◽  
Fractional Modeling ◽  
Time Fractional Derivative ◽  
The Right ◽  
Right Order

Abstract The identification of the right order of the equation in applied fractional modeling plays an important role. In this paper we consider an inverse problem for determining the order of time fractional derivative in a subdiffusion equation with an arbitrary second order elliptic differential operator. We prove that the additional information about the solution at a fixed time instant at a monitoring location, as “the observation data”, identifies uniquely the order of the fractional derivative.

Inverse problem of determining an order of the Caputo time-fractional derivative for a subdiffusion equation

2020 ◽  
Vol 28 (5) ◽  
pp. 651-658
Author(s):  
Shavkat Alimov ◽  
Ravshan Ashurov
Keyword(s):  
Inverse Problem ◽  
Fractional Derivative ◽  
Adjoint Operator ◽  
Fourier Method ◽  
Fixed Time ◽  
Sturm Liouville ◽  
Fractional Differential ◽  
Time Fractional Derivative ◽  
Subdiffusion Equation ◽  
Liouville Operators

AbstractAn inverse problem for determining the order of the Caputo time-fractional derivative in a subdiffusion equation with an arbitrary positive self-adjoint operator A with discrete spectrum is considered. By the Fourier method it is proved that the value of {\|Au(t)\|}, where {u(t)} is the solution of the forward problem, at a fixed time instance recovers uniquely the order of derivative. A list of examples is discussed, including linear systems of fractional differential equations, differential models with involution, fractional Sturm–Liouville operators, and many others.

The brain structure and neurosecretory cells of noctuid moth Anadevidia peponis: Noctuidae

1990 ◽  
Vol 48 (3) ◽  
pp. 436-437
Author(s):  
M. Sato ◽  
Y. Ogawa ◽  
M. Sasaki ◽  
T. Matsuo
Keyword(s):  
Biological Clock ◽  
Virgin Female ◽  
Basic Structure ◽  
Fixed Time ◽  
Neurosecretory Cells ◽  
Nerve Cells ◽  
Noctuid Moth ◽  
The Right ◽  
20 Nm ◽  
The Brain

A virgin female of the noctuid moth, a kind of noctuidae that eats cucumis, etc. performs calling at a fixed time of each day, depending on the length of a day. The photoreceptors that induce this calling are located around the neurosecretory cells (NSC) in the central portion of the protocerebrum. Besides, it is considered that the female’s biological clock is located also in the cerebral lobe. In order to elucidate the calling and the function of the biological clock, it is necessary to clarify the basic structure of the brain. The observation results of 12 or 30 day-old noctuid moths showed that their brains are basically composed of an outer and an inner portion-neural lamella (about 2.5 μm) of collagen fibril and perineurium cells. Furthermore, nerve cells surround the cerebral lobes, in which NSCs, mushroom bodies, and central nerve cells, etc. are observed. The NSCs are large-sized (20 to 30 μm dia.) cells, which are located in the pons intercerebralis of the head section and at the rear of the mushroom body (two each on the right and left). Furthermore, the cells were classified into two types: one having many free ribosoms 15 to 20 nm in dia. and the other having granules 150 to 350 nm in dia. (Fig. 1).

THE FACTORS OF CAREER SELF-DETERMINATION OF STUDENTS OF HIGHER EDUCATION INSTITUTIONS

2019 ◽  
Vol 7 (1) ◽  
pp. 9-20
Author(s):  
Inna Yeung
Keyword(s):  
Higher Education ◽  
Higher Education Institutions ◽  
Well Being ◽  
Young Person ◽  
Self Determination ◽  
Full Time ◽  
Actual Problem ◽  
The Third ◽  
The Right

Choice of profession is a social phenomenon that every person has to face in life. Numerous studies convince us that not only the well-being of a person depends on the chosen work, but also his attitude to himself and life in general, therefore, the right and timely professional choice is very important. Research about factors of career self-determination of students of higher education institutions in Ukraine shows that self-determination is an important factor in the socialization of young person, and the factors that determine students' career choices become an actual problem of nowadays. The present study involved full-time and part-time students of Institute of Philology and Mass Communications of Open International University of Human Development "Ukraine" in order to examine the factors of career self-determination of students of higher education institutions (N=189). Diagnostic factors of career self-determination of students studying in the third and fourth year were carried out using the author's questionnaire. Processing of obtained data was carried out using the Excel 2010 program; factorial and comparative analysis were applied. Results of the study showed that initial stage of career self-determination falls down on the third and fourth studying year at the university, when an image of future career and career orientations begin to form. At the same time, the content of career self-determination in this period is contradictory and uncertain, therefore, the implementation of pedagogical support of this process among students is effective.

Basic set of experiments for determination of mechanical properties of sand

2014 ◽  
Vol 62 (1) ◽  
pp. 129-137
Author(s):  
A. Sawicki ◽  
J. Mierczyński
Keyword(s):  
Mechanical Properties ◽  
Soil Mechanics ◽  
Physical And Mechanical Properties ◽  
Local Strain ◽  
Initial State ◽  
Laboratory Equipment ◽  
Additional Information ◽  
Basic Set ◽  
Initial Anisotropy

Abstract A basic set of experiments for the determination of mechanical properties of sands is described. This includes the determination of basic physical and mechanical properties, as conventionally applied in soil mechanics, as well as some additional experiments, which provide further information on mechanical properties of granular soils. These additional experiments allow for determination of steady state and instability lines, stress-strain relations for isotropic loading and pure shearing, and simple cyclic shearing tests. Unconventional oedometric experiments are also presented. Necessary laboratory equipment is described, which includes a triaxial apparatus equipped with local strain gauges, an oedometer capable of measuring lateral stresses and a simple cyclic shearing apparatus. The above experiments provide additional information on soil’s properties, which is useful in studying the following phenomena: pre-failure deformations of sand including cyclic loading compaction, pore-pressure generation and liquefaction, both static and caused by cyclic loadings, the effect of sand initial anisotropy and various instabilities. An important feature of the experiments described is that they make it possible to determine the initial state of sand, defined as either contractive or dilative. Experimental results for the “Gdynia” model sand are shown.

KEBIJAKAN MODERASI PIDANA MATI

2017 ◽  
Vol 10 (2) ◽  
pp. 193
Author(s):  
Mei Susanto ◽  
Ajie Ramdan
Keyword(s):  
Human Rights ◽  
Death Penalty ◽  
Capital Punishment ◽  
Criminal Code ◽  
Right To Life ◽  
Life Imprisonment ◽  
Research Results ◽  
Moderation Model ◽  
The Right

ABSTRAKPutusan Nomor 2-3/PUU-V/2007 selain menjadi dasar konstitusionalitas pidana mati, juga memberikan jalan tengah (moderasi) terhadap perdebatan antara kelompok yang ingin mempertahankan (retensionis) dan yang ingin menghapus (abolisionis) pidana mati. Permasalahan dalam penelitian ini adalah bagaimana kebijakan moderasi pidana mati dalam putusan a quo dikaitkan dengan teori pemidanaan dan hak asasi manusia dan bagaimana kebijakan moderasi pidana mati dalam RKUHP tahun 2015 dikaitkan dengan putusan a quo. Penelitian ini merupakan penelitian doktrinal, dengan menggunakan bahan hukum primer dan sekunder, berupa peraturan perundang-undangan, literatur, dan hasil-hasil penelitian yang relevan dengan objek penelitian. Penelitian menyimpulkan, pertama, putusan a quo yang memuat kebijakan moderasi pidana mati telah sesuai dengan teori pemidanaan khususnya teori integratif dan teori hak asasi manusia di Indonesia di mana hak hidup tetap dibatasi oleh kewajiban asasi yang diatur dengan undang-undang. Kedua, model kebijakan moderasi pidana mati dalam RKUHP tahun 2015 beberapa di antaranya telah mengakomodasi amanat putusan a quo, seperti penentuan pidana mati di luar pidana pokok, penundaan pidana mati, kemungkinan pengubahan pidana mati menjadi pidana seumur hidup atau penjara paling lama 20 tahun. Selain itu masih menimbulkan persoalan berkaitan dengan lembaga yang memberikan pengubahan pidana mati, persoalan grasi, lamanya penundaan pelaksanaan pidana mati, dan jenis pidana apa saja yang dapat diancamkan pidana mati.Kata kunci: kebijakan, KUHP, moderasi, pidana mati. ABSTRACTConstitutional Court’s Decision Number 2-3/PUU-V/2007, in addition to being the basis of the constitutionality of capital punishment, also provides a moderate way of arguing between retentionist groups and those wishing to abolish the death penalty (abolitionist). The problem in this research is how the moderation policy of capital punishment in aquo decision is associated with the theory of punishment and human rights and how the moderation policy of capital punishment in the draft Criminal Code of 2015 (RKUHP) is related with the a quo decision. This study is doctrinal, using primary and secondary legal materials, in the form of legislation, literature and research results that are relevant to the object of analysis. This study concludes, firstly, the aquo decision containing the moderation policy of capital punishment has been in accordance with the theory of punishment, specificallyy the integrative theory and the theory of human rights in Indonesia, in which the right to life remains limited by the fundamental obligations set forth in the law. Secondly, some of the modes of moderation model of capital punishment in RKUHP of 2015 have accommodated the mandate of aquo decision, such as the determination of capital punishment outside the main punishment, postponement of capital punishment, the possibility of converting capital punishment to life imprisonment or imprisonment of 20 years. In addition, it still raises issues regarding the institutions that provide for conversion of capital punishment, pardon matters, length of delay in the execution of capital punishment, and any types of crime punishable by capital punishment. Keywords: policy, criminal code, moderation, capital punishment.

Adolescent athletes and nutrition – analysis of two groups of children

2020 ◽  
pp. 1-6
Author(s):  
Tatyana Dzimbova
Keyword(s):  
Energy Expenditure ◽  
Energy Intake ◽  
Eating Habits ◽  
Energy Deficit ◽  
Young Athletes ◽  
Adolescent Athletes ◽  
Basketball Players ◽  
Calcium Magnesium ◽  
The Right

Introduction. Proper nutrition is crucial for child and adolescent athletes to maintain growth and development and to achieveoptimal results in sports. It is very important to balance the energy expenditure with the energy intake in order to prevent the energy deficit or excess.Materials and methods. Subjects involved in two different sports participated in the study: 13 gymnasts (age 13.8 ± 4.1 years, height 153.4 ± 11.3 cm, weight 47.1 ± 10.5 kg) and 15 basketball players (age 15.5 ± 1.1 years, height 176.7 ± 7.9 cm, weight 65.2 ± 10.7 kg). Determination of total energy expenditure was made by prediction equations. The subjects maintained a food records for 5 consecutive days, which were processed in the ASA24 system of the NCI. Results and discussion. Energy intake in both groups is sufficient to meet the daily needs, development of young athletes andprovide the energy needed in training. The intake of three minerals (calcium, magnesium and potassium) and three vitamins (D, E and A) was lower than recommended values in both groups.Conclusion. As a result of the busy schedule of adolescent athletes, their main meals are out of home, and the proportion of highly processed foods containing small amounts of important vitamins and minerals is high. The main recommendations include dairy products, fruits, vegetables and whole grains. The idea behind the changes is to give young athletes the right diet and the right eating habits.

The Calculation of Turbulent Diffusion Coefficients in Aquatic Ecosystems

2019 ◽  
Vol 70 (11) ◽  
pp. 3903-3907
Author(s):  
Galina Marusic ◽  
Valeriu Panaitescu
Keyword(s):  
Transport Equation ◽  
Turbulent Diffusion ◽  
Diffusion Coefficients ◽  
Aquatic Ecosystems ◽  
Specific Area ◽  
Left Bank ◽  
The Right ◽  
Prut River

The paper deals with the issues related to the pollution of aquatic ecosystems. The influence of turbulence on the transport and dispersion of pollutants in the mentioned systems, as well as the calculation of the turbulent diffusion coefficients are studied. A case study on the determination of turbulent diffusion coefficients for some sectors of the Prut River is presented. A new method is proposed for the determination of the turbulent diffusion coefficients in the pollutant transport equation for specific sectors of a river, according to the associated number of P�clet, calculated for each specific area: the left bank, the right bank and the middle of the river.

Integrative Approach in Law Understanding: the History of the Origin of Ideas and the Current State

2020 ◽  
Vol 2 (1) ◽  
pp. 115-130
Author(s):  
R. R. Palekha ◽  
Keyword(s):  
Central Place ◽  
Scientific Basis ◽  
Integrative Approach ◽  
Current State ◽  
History Of ◽  
Legal Thinking ◽  
Reliable Knowledge ◽  
The Right ◽  
Fat Formulation

Introduction. Right understanding is the most live, interesting and, at the same time, the uncertain and changeable area of researches which takes the central place as in the general theory of the right, and gains the increasing value in industry jurisprudence that is connected with its considerable teoretiko-methodological and applied potential which is shown in spheres of lawmaking and law-enforcement activity. Thus, right understanding represents research tools of the subject of knowledge which allow to study all range legal and, the based on them, state phenomena for the purpose of obtaining reliable knowledge of state and legal reality. In this regard integrative approach in right understanding which has rich history of the formation and development is of special interest, allows to perceive the right as integrally complete phenomenon, as much as possible retrieves its regulatory abilities and, provides achievement of criteria of scientific research: comprehensiveness, objectivity, historicism. Materials and Methods. In article an attempt of the analysis of integrative approach in right understanding from a position of history of origin of his ideas and assessment of the current state is made. A result of studying of scientific literature, generalization and comparison of the different points of view fat formulation of author’s determination of category “right understanding” and submission of the evidence-based integrative theory of right understanding which as much as possible conforms to requirements of time and has essential regulatory and guarding potential. Results. In article the category right understanding is comprehensively considered, different integrative theories of right understanding from a position of their origin and development are submitted, the value of modern integrative approach in right understanding is shown, perspectives of its further development are evaluated. Discussion and Conclusion. The author comes to the conclusion about the theoretical and methodological consistency and inevitability of the integrative approach in law understanding, which acts as a scientifically grounded type of legal thinking capable of comprehending the law on a truly scientific basis.

On Finite Part Integrals and Hadamard-Type Fractional Derivatives

2018 ◽  
Vol 13 (9) ◽  
Author(s):  
Li Ma ◽  
Changpin Li
Keyword(s):  
Fractional Derivative ◽  
Singular Integral ◽  
Fractional Derivatives ◽  
Continuous Functions ◽  
Finite Part ◽  
Absolutely Continuous Functions ◽  
Absolutely Continuous ◽  
Fundamental Properties ◽  
Logarithmic Series ◽  
The Right

This paper is devoted to investigating the relation between Hadamard-type fractional derivatives and finite part integrals in Hadamard sense; that is to say, the Hadamard-type fractional derivative of a given function can be expressed by the finite part integral of a strongly singular integral, which actually does not exist. Besides, our results also cover some fundamental properties on absolutely continuous functions, and the logarithmic series expansion formulas at the right end point of interval for functions in certain absolutely continuous spaces.

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