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Relevant bibliographies by topics / Derivatives (Mathematics)

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Academic literature on the topic 'Derivatives (Mathematics)'

Author: Grafiati

Published: 4 June 2021

Last updated: 31 July 2024

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Journal articles on the topic "Derivatives (Mathematics)"

1

Prihandika, Aditya, and Krisna Satrio Perbowo. "The review of concept image and concept definition: A hermeneutic phenomenological study on the derivative concepts." International Journal of Didactic Mathematics in Distance Education 1, no. 1 (2024): 13–23. http://dx.doi.org/10.33830/ijdmde.v1i1.7610.

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Calculus classes often focus on studying derivatives, a fundamental topic in mathematics. Upon finishing their studies, potential mathematics teachers will educate students about advanced concepts such as derivatives in the classroom. Therefore, comprehending derivative concepts is essential for teaching children effectively. This study aims to determine how potential mathematics teachers view themselves concerning derivative concepts based on their concept image and concept definition. The study utilized a hermeneutic phenomenological approach together with qualitative approaches in its resea

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2

Hasanah, Dahliatul. "On continuity properties of the improved conformable fractional derivatives." Jurnal Fourier 11, no. 2 (2022): 88–96. http://dx.doi.org/10.14421/fourier.2022.112.88-96.

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The conformable fractional derivative has been introduced to extend the familiar limit definition of the classical derivative. Despite having many advantages compared to other fractional derivatives such as satisfying nice properties as classical derivative and easy to solve numerically, it also has disadvantages as it gives large error compared to Riemann-Liouville and Caputo fractional derivatives. Modified types of conformable derivatives have been proposed to overcome the shortcoming. The improved conformal fractional derivatives are declared to be better approximations of Riemann-Liouvill

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Rehman, Hameed Ur, Maslina Darus, and Jamal Salah. "A Note on Caputo’s Derivative Operator Interpretation in Economy." Journal of Applied Mathematics 2018 (October 1, 2018): 1–7. http://dx.doi.org/10.1155/2018/1260240.

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We propound the economic idea in terms of fractional derivatives, which involves the modified Caputo’s fractional derivative operator. The suggested economic interpretation is based on a generalization of average count and marginal value of economic indicators. We use the concepts ofT-indicatorswhich analyses the economic performance with the presence of memory. The reaction of economic agents due to recurrence identical alteration is minimized by using the modified Caputo’s derivative operator of orderλinstead of integer order derivativen. The two sides of Caputo’s derivative are expressed by

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4

Bruckner, A. M., M. Laczkovich, G. Petruska, and B. S. Thomson. "Porosity and Approximate Derivatives." Canadian Journal of Mathematics 38, no. 5 (1986): 1149–80. http://dx.doi.org/10.4153/cjm-1986-058-7.

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In recent years, a considerable amount of research has been devoted to questions involving set porosity, particularly as it relates to differentiation theory. We may express the type of question in which we are interested by using the language of path derivatives and sequential derivatives. A path derivative of a function/is defined by writingwhere at each point x a set Ex is given. A special case of the path derivative is the sequential derivative, defined by writingwhere hn is a fixed sequence of nonzero numbers converging to zero.

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5

Diethelm, Kai, Roberto Garrappa, Andrea Giusti, and Martin Stynes. "Why fractional derivatives with nonsingular kernels should not be used." Fractional Calculus and Applied Analysis 23, no. 3 (2020): 610–34. http://dx.doi.org/10.1515/fca-2020-0032.

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AbstractIn recent years, many papers discuss the theory and applications of new fractional-order derivatives that are constructed by replacing the singular kernel of the Caputo or Riemann-Liouville derivative by a non-singular (i.e., bounded) kernel. It will be shown here, through rigorous mathematical reasoning, that these non-singular kernel derivatives suffer from several drawbacks which should forbid their use. They fail to satisfy the fundamental theorem of fractional calculus since they do not admit the existence of a corresponding convolution integral of which the derivative is the left

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6

Pandey, Ambrish Kr, and Samkach Singh. "Derivatives: A Comprehensive Study of Rate of Change." Journal of Applied Science and Education (JASE) 1, no. 1 (2021): 1–4. http://dx.doi.org/10.54060/jase/001.01.005.

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In mathematics, derivatives are the rate of change of a function with respect to a variable, and they are necessary for answering complex mathematical problems and differential equations. In this paper, a detailed study on the use and concept of derivative that how it comes into existence, how it can be used to calculate the differential coefficients of a function at a particular point in an effective manner, and what are the applications of the rate of change of functions in mathematics as well as in real-life situations is presented. This study will help to understand the in-depth concept of

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7

Brualdi, Richard A., and Geir Dahl. "Permutation Matrices, Their Discrete Derivatives and Extremal Properties." Vietnam Journal of Mathematics 48, no. 4 (2020): 719–40. http://dx.doi.org/10.1007/s10013-020-00392-5.

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AbstractFor a permutation π, and the corresponding permutation matrix, we introduce the notion of discrete derivative, obtained by taking differences of successive entries in π. We characterize the possible derivatives of permutations, and consider questions for permutations with certain properties satisfied by the derivative. For instance, we consider permutations with distinct derivatives, and the relationship to so-called Costas arrays.

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8

Bullen, P. S., and D. N. Sarkhel. "On Darboux and Mean Value Properties." Canadian Mathematical Bulletin 30, no. 2 (1987): 223–30. http://dx.doi.org/10.4153/cmb-1987-032-8.

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AbstractIn this paper we extend and greatly generalize, with some new information, the well known results that an approximately continuous function is Darboux, and that a finite approximate derivative has the mean value property and is Darboux. Our theorems on Darboux and mean value properties of derivatives include also those of selective derivatives and I-approximate derivatives.

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9

Atangana, Abdon, and Aydin Secer. "A Note on Fractional Order Derivatives and Table of Fractional Derivatives of Some Special Functions." Abstract and Applied Analysis 2013 (2013): 1–8. http://dx.doi.org/10.1155/2013/279681.

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The purpose of this note is to present the different fractional order derivatives definition that are commonly used in the literature on one hand and to present a table of fractional order derivatives of some functions in Riemann-Liouville sense On other the hand. We present some advantages and disadvantages of these fractional derivatives. And finally we propose alternative fractional derivative definition.

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10

Has, Aykut, Beyhan Yılmaz, Abdullah Akkurt, and Hüseyin Yıldırım. "Conformable special curves in Euclidean 3-space." Filomat 36, no. 14 (2022): 4687–98. http://dx.doi.org/10.2298/fil2214687h.

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In this study, the effect of fractional derivatives on curves, whose application area is increasing day by day, is investigated. While investigating this effect, the conformable fractional derivative, which best suits the algebraic structure of differential geometry, is selected. As a result, many special curves and Frenet frame previously obtained using classical derivatives have been redefined with the help of conformable fractional derivatives.

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