Готові списки джерел за темами / Fractional notations / Статті в журналах

Статті в журналах з теми "Fractional notations"

Щоб переглянути інші типи публікацій з цієї теми, перейдіть за посиланням: Fractional notations.
Автор: Grafiati
Опубліковано: 12 червня 2021
Оновлено: 2 лютого 2022

Оформте джерело за APA, MLA, Chicago, Harvard та іншими стилями

Оберіть тип джерела:

Ознайомтеся з топ-15 статей у журналах для дослідження на тему "Fractional notations".

Біля кожної праці в переліку літератури доступна кнопка «Додати до бібліографії». Скористайтеся нею – і ми автоматично оформимо бібліографічне посилання на обрану працю в потрібному вам стилі цитування: APA, MLA, «Гарвард», «Чикаго», «Ванкувер» тощо.

Також ви можете завантажити повний текст наукової публікації у форматі «.pdf» та прочитати онлайн анотацію до роботи, якщо відповідні параметри наявні в метаданих.

Переглядайте статті в журналах для різних дисциплін та оформлюйте правильно вашу бібліографію.

1

Abd El-Salam, F. A. "-Dimensional Fractional Lagrange's Inversion Theorem." Abstract and Applied Analysis 2013 (2013): 1–11. http://dx.doi.org/10.1155/2013/310679.

Повний текст джерела
Стилі APA, Harvard, Vancouver, ISO та ін.
Анотація:
Using Riemann-Liouville fractional differential operator, a fractional extension of the Lagrange inversion theorem and related formulas are developed. The required basic definitions, lemmas, and theorems in the fractional calculus are presented. A fractional form of Lagrange's expansion for one implicitly defined independent variable is obtained. Then, a fractional version of Lagrange's expansion in more than one unknown function is generalized. For extending the treatment in higher dimensions, some relevant vectors and tensors definitions and notations are presented. A fractional Taylor expansion of a function of -dimensional polyadics is derived. A fractional -dimensional Lagrange inversion theorem is proved.
2

Alzabut, Jehad, Velu Muthulakshmi, Abdullah Özbekler, and Hakan Adıgüzel. "On the Oscillation of Non-Linear Fractional Difference Equations with Damping." Mathematics 7, no. 8 (August 1, 2019): 687. http://dx.doi.org/10.3390/math7080687.

Повний текст джерела
Стилі APA, Harvard, Vancouver, ISO та ін.
Анотація:
In studying the Riccati transformation technique, some mathematical inequalities and comparison results, we establish new oscillation criteria for a non-linear fractional difference equation with damping term. Preliminary details including notations, definitions and essential lemmas on discrete fractional calculus are furnished before proceeding to the main results. The consistency of the proposed results is demonstrated by presenting some numerical examples. We end the paper with a concluding remark.
3

Ibnelazyz, Lahcen, Karim Guida, Said Melliani, and Khalid Hilal. "On a Nonlocal Multipoint and Integral Boundary Value Problem of Nonlinear Fractional Integrodifferential Equations." Journal of Function Spaces 2020 (October 28, 2020): 1–8. http://dx.doi.org/10.1155/2020/8891736.

Повний текст джерела
Стилі APA, Harvard, Vancouver, ISO та ін.
Анотація:
The aim of this paper is to give the existence as well as the uniqueness results for a multipoint nonlocal integral boundary value problem of nonlinear sequential fractional integrodifferential equations. First of all, we give some preliminaries and notations that are necessary for the understanding of the manuscript; second of all, we show the existence and uniqueness of the solution by means of the fixed point theory, namely, Banach’s contraction principle and Krasnoselskii’s fixed point theorem. Last, but not least, we give two examples to illustrate the results.
4

Sikora, Ryszard, and Stanislaw Pawłowski. "Fractional derivatives and the laws of electrical engineering." COMPEL - The international journal for computation and mathematics in electrical and electronic engineering 37, no. 4 (July 2, 2018): 1384–91. http://dx.doi.org/10.1108/compel-08-2017-0347.

Повний текст джерела
Стилі APA, Harvard, Vancouver, ISO та ін.
Анотація:
Purpose This paper aims to evaluate the possibilities of fractional calculus application in electrical circuits and magnetic field theories. Design/methodology/approach The analysis of mathematical notation is used for physical phenomena description. The analysis aims to challenge or prove the correctness of applied notation. Findings Fractional calculus is sometimes applied correctly and sometimes erroneously in electrical engineering. Originality/value This paper provides guidelines regarding correct application of fractional calculus in description of electrical circuits’ phenomena. It can also inspire researchers to find new applications for fractional calculus in the future.
5

Yüce, Ali, Nusret Tan, and Derek P. Atherton. "Limit cycles in relay systems with fractional order plants." Transactions of the Institute of Measurement and Control 41, no. 15 (July 4, 2019): 4424–35. http://dx.doi.org/10.1177/0142331219860302.

Повний текст джерела
Стилі APA, Harvard, Vancouver, ISO та ін.
Анотація:
In this paper, limit cycle frequency, pulse width and stability analysis are examined using different methods for relay feedback nonlinear control systems with integer or fractional order plant transfer functions. The describing function (DF), A loci, a time domain method formulated in state space notation and Matlab/Simulink simulations are used for the analysis. Comparisons of the results of using these methods are given in several examples. In addition, the work has been extended to fractional order systems with time delay. Programs have been developed in the Matlab environment for all the theoretical methods. In particular, Matlab programs have been written to obtain a graphical solution for the A loci method, which can precisely calculate the limit cycle frequency. The developed solution methods are shown in various examples. The major contribution is to look at finding limit cycles for relay feedback systems having plants with a fractional order transfer function (FOTF). However, en route to this goal new assessments of limit cycle stability have been done for a rational plant transfer function plus a time delay.
6

Rios-Avila, Fernando. "Estimation of marginal effects for models with alternative variable transformations." Stata Journal: Promoting communications on statistics and Stata 21, no. 1 (March 2021): 81–96. http://dx.doi.org/10.1177/1536867x211000005.

Повний текст джерела
Стилі APA, Harvard, Vancouver, ISO та ін.
Анотація:
margins is a powerful postestimation command that allows the estimation of marginal effects for official and community-contributed commands, with well-defined predicted outcomes (see predict). While the use of factor-variable notation allows one to easily estimate marginal effects when interactions and polynomials are used, estimation of marginal effects when other types of transformations such as splines, logs, or fractional polynomials are used remains a challenge. In this article, I describe how margins‘s capabilities can be extended to analyze other variable transformations using the command f_able.
7

Mohammed, Pshtiwan Othman, Mehmet Zeki Sarikaya, and Dumitru Baleanu. "On the Generalized Hermite–Hadamard Inequalities via the Tempered Fractional Integrals." Symmetry 12, no. 4 (April 8, 2020): 595. http://dx.doi.org/10.3390/sym12040595.

Повний текст джерела
Стилі APA, Harvard, Vancouver, ISO та ін.
Анотація:
Integral inequality plays a critical role in both theoretical and applied mathematics fields. It is clear that inequalities aim to develop different mathematical methods (numerically or analytically) and to dedicate the convergence and stability of the methods. Unfortunately, mathematical methods are useless if the method is not convergent or stable. Thus, there is a present day need for accurate inequalities in proving the existence and uniqueness of the mathematical methods. Convexity play a concrete role in the field of inequalities due to the behaviour of its definition. There is a strong relationship between convexity and symmetry. Which ever one we work on, we can apply to the other one due to the strong correlation produced between them especially in recent few years. In this article, we first introduced the notion of λ -incomplete gamma function. Using the new notation, we established a few inequalities of the Hermite–Hadamard (HH) type involved the tempered fractional integrals for the convex functions which cover the previously published result such as Riemann integrals, Riemann–Liouville fractional integrals. Finally, three example are presented to demonstrate the application of our obtained inequalities on modified Bessel functions and q-digamma function.
8

Boyd, Clifton. "Metrical Ambiguity in the Scherzo of Brahms's String Sextet, Op. 18." Music Theory and Analysis (MTA) 8, no. 1 (April 30, 2021): 41–60. http://dx.doi.org/10.11116/mta.8.1.2.

Повний текст джерела
Стилі APA, Harvard, Vancouver, ISO та ін.
Анотація:
This article explores the metrical and hypermetrical ambiguities present in the Scherzo of Brahms's String Sextet in B♭ major, Op. 18 (1859–60). Drawing upon Lerdahl and Jackendoff's metrical preference rules, Mirka's parallel multiple-analysis model, and Ito's fractional notation, I argue that each hearing of material from the opening phrase (at the beginning, during its first repeat, after the Trio, etc.) affords the possibility of a different hypermetrical experience. Furthermore, rather than the metrical structure becoming increasingly clear over time, there are a number of hypermetrical irregularities that can lead listeners to question their previous interpretations. The article concludes with suggestions on how chamber ensembles can utilize metrical analyses of this movement to inform their performances and create varied listening experiences.
9

Oppenheimer, Lauren, and Robert P. Hunting. "Reflections on Practice: Relating Fractions and Decimals: Listening to Students Talk." Mathematics Teaching in the Middle School 4, no. 5 (February 1999): 318–21. http://dx.doi.org/10.5951/mtms.4.5.0318.

Повний текст джерела
Стилі APA, Harvard, Vancouver, ISO та ін.
Анотація:
Despite the great amount of time that middle-grades teachers devote to teaching fractions and decimals, converting between these two representations continues to be a difficult task for students. According to the results of the sixth National Assessment of Educational Progress (NAEP) conducted in 1992, although 90 percent of eighth-grade students correctly paired a simple fraction with its pictorial representation, only 63 percent of students successfully shaded a fractional portion of a given rectangular region using equivalent fractions. Likewise, 92 percent correctly identified 14.9 seconds as being the decimal representation closest to 15 seconds, but when comparing common fractions with decimal notation, only 51 percent of eighth-grade students chose 1/2 as being the fraction closest to 0.52. Twenty-nine percent of eighth graders chose the fraction 1/50 as being closest in value to 0.52 (Kouba, Zawojewski, and Struchens 1997).
10

Shishkina, E. L. "General Euler-Poisson-Darboux Equation and Hyperbolic B-Potentials." Contemporary Mathematics. Fundamental Directions 65, no. 2 (December 15, 2019): 157–338. http://dx.doi.org/10.22363/2413-3639-2019-65-2-157-338.

Повний текст джерела
Стилі APA, Harvard, Vancouver, ISO та ін.
Анотація:
In this work, we develop the theory of hyperbolic equations with Bessel operators. We construct and invert hyperbolic potentials generated by multidimensional generalized translation. Chapter 1 contains necessary notation, definitions, auxiliary facts and results. In Chapter 2, we study some generalized weight functions related to a quadratic form. These functions are used below to construct fractional powers of hyperbolic operators and solutions of hyperbolic equations with Bessel operators. Chapter 3 is devoted to hyperbolic potentials generated by multidimensional generalized translation. These potentials express negative real powers of the singular wave operator, i. e. the wave operator where the Bessel operator acts instead of second derivatives. The boundedness of such an operator and its properties are investigated and the inverse operator is constructed. The hyperbolic Riesz B-potential is studied as well in this chapter. In Chapter 4, we consider various methods of solution of the Euler-Poisson-Darboux equation. We obtain solutions of the Cauchy problems for homogeneous and nonhomogeneous equations of this type. In Conclusion, we discuss general methods of solution for problems with arbitrary singular operators.
11

Herman, Robert L., John Worden, David Noone, Dean Henze, Kevin Bowman, Karen Cady-Pereira, Vivienne H. Payne, Susan S. Kulawik, and Dejian Fu. "Comparison of optimal estimation HDO∕H<sub>2</sub>O retrievals from AIRS with ORACLES measurements." Atmospheric Measurement Techniques 13, no. 4 (April 8, 2020): 1825–34. http://dx.doi.org/10.5194/amt-13-1825-2020.

Повний текст джерела
Стилі APA, Harvard, Vancouver, ISO та ін.
Анотація:
Abstract. In this paper we evaluate new retrievals of the deuterium content of water vapor from the Aqua Atmospheric InfraRed Sounder (AIRS), with aircraft measurements of HDO and H2O from the ObseRvations of Aerosols above Clouds and their intEractionS (ORACLES) field mission. Single-footprint AIRS radiances are processed with an optimal estimation algorithm that provides vertical profiles of the HDO∕H2O ratio, characterized uncertainties and instrument operators (i.e., averaging kernel matrix). These retrievals are compared to vertical profiles of the HDO∕H2O ratio from the Oregon State University Water Isotope Spectrometer for Precipitation and Entrainment Research (WISPER) on the ORACLES NASA P-3B Orion aircraft. Measurements were taken over the southeastern Atlantic Ocean from 31 August to 25 September 2016. HDO∕H2O is commonly reported in δD notation, which is the fractional deviation of the HDO∕H2O ratio from the standard reference ratio. For collocated measurements, the satellite instrument operator (averaging kernels and a priori constraint) is applied to the aircraft profile measurements. We find that AIRS δD bias relative to the aircraft is well within the estimated measurement uncertainty. In the lower troposphere, 1000 to 800 hPa, AIRS δD bias is −6.6 ‰ and the root-mean-square (rms) deviation is 20.9 ‰, consistent with the calculated uncertainty of 19.1 ‰. In the mid-troposphere, 800 to 500 hPa, AIRS δD bias is −6.8 ‰ and rms 44.9 ‰, comparable to the calculated uncertainty of 25.8 ‰.
12

"On Some Stability Notations for Fuzzy Three-level Fractional Programming Problem." Mathematical Sciences Letters 10, no. 1 (January 1, 2021): 23–34. http://dx.doi.org/10.18576/msl/100104.

Повний текст джерела
Стилі APA, Harvard, Vancouver, ISO та ін.
13

Podlubny, Igor, Richard L. Magin, and Iryna Trymorush. "Niels Henrik Abel and the birth of fractional calculus." Fractional Calculus and Applied Analysis 20, no. 5 (January 1, 2017). http://dx.doi.org/10.1515/fca-2017-0057.

Повний текст джерела
Стилі APA, Harvard, Vancouver, ISO та ін.
Анотація:
AbstractIn his first paper on the generalization of the tautochrone problem, that was published in 1823, Niels Henrik Abel presented a complete framework for fractional-order calculus, and used the clear and appropriate notation for fractional-order integration and differentiation.
14

"Sharing Chocolate." Teaching Children Mathematics 22, no. 3 (October 2015): 132–35. http://dx.doi.org/10.5951/teacchilmath.22.3.0132.

Повний текст джерела
Стилі APA, Harvard, Vancouver, ISO та ін.
Анотація:
Two groups of third graders at Campbell Elementary School in Arlington, Virginia, investigated how to represent the fair sharing of chocolate bars when there are fewer chocolate bars than people who want to share them. This investigation occurred before any formal teaching of fractions, and it revealed student understanding of partitioning a whole into equal pieces, fractional language and notation, using fractions to represent division, and equivalent fractions.
15

Bentalha, Zine, Larabi Moumen, and Tarik Ouahrani. "A new method of calculation in the Fractional Quantum Hall Effect regime." Open Physics 12, no. 7 (January 1, 2014). http://dx.doi.org/10.2478/s11534-014-0476-5.

Повний текст джерела
Стилі APA, Harvard, Vancouver, ISO та ін.
Анотація:
AbstractThe electron-electron and electron-background interaction energies are calculated analytically for systems with up to N = 6 electrons. The method consists of describing the position vectors of electrons using complex coordinates and all the interaction energies with complex notation, whereby simplifications become possible. As is known, in this type of calculation, complicated expressions involving integrals over many variables are encountered and the trick of using complex coordinates greatly facilitates the exact calculation of various quantities. Contrary to previous analytical calculations, using complex coordinates avoids complicated trigonometric functions from appearing in the integrand, simplifying the exact evaluation of the integrals. The method we have used can be straightforwardly extended to larger systems with N > 6 electrons.

До бібліографії