Relevant bibliographies by topics / Fractional Difference

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Fractional Difference'

Author: Grafiati
Published: 4 June 2025
Last updated: 15 July 2025

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Journal articles on the topic "Fractional Difference"

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Wang, Chao, Weiyu Xie, and Ravi P. Agarwal. "Quaternion Fractional Difference with Quaternionic Fractional Order and Applications to Fractional Difference Equation." Analele Universitatii "Ovidius" Constanta - Seria Matematica 32, no. 1 (2024): 271–304. https://doi.org/10.2478/auom-2024-0015.

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Abstract In this paper, we introduce the basic notions of the fractional summation, difference and q-difference with the quaternionic fractional order for the quaternion-valued functions and establish some of their basic properties. Based on this, the summation representations of solutions for the nonlinear quaternion-valued fractional difference equation and q-difference equation are obtained. In addition, several examples are provided to illustrate the feasibility of our obtained results in each section.
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G., Pushpalatha, and Ranjitha R. "Three Term Linear Fractional Nabla Difference Equation." International Journal of Trend in Scientific Research and Development 2, no. 3 (2018): 594–600. https://doi.org/10.31142/ijtsrd11059.

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In this present paper, a study on nabla difference equation and its third order linear fractional difference equation. A new generalized nabla difference equation is investigated from Three term linear fractional nabla difference equation. A relevant example is proved and justify the proposed notions. G. Pushpalatha | R. Ranjitha "Three-Term Linear Fractional Nabla Difference Equation" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-2 | Issue-3 , April 2018, URL: https://www.ijtsrd.com/papers/ijtsrd11059.pdf
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Pushpalatha, G., and R. Ranjitha. "Three-Term Linear Fractional Nabla Difference Equation." International Journal of Trend in Scientific Research and Development Volume-2, Issue-3 (2018): 594–600. http://dx.doi.org/10.31142/ijtsrd11059.

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Chasreechai, Saowaluck, and Thanin Sitthiwirattham. "On Separate Fractional Sum-Difference Equations with n-Point Fractional Sum-Difference Boundary Conditions via Arbitrary Different Fractional Orders." Mathematics 7, no. 5 (2019): 471. http://dx.doi.org/10.3390/math7050471.

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In this article, we study the existence and uniqueness results for a separate nonlinear Caputo fractional sum-difference equation with fractional difference boundary conditions by using the Banach contraction principle and the Schauder’s fixed point theorem. Our problem contains two nonlinear functions involving fractional difference and fractional sum. Moreover, our problem contains different orders in n + 1 fractional differences and m + 1 fractional sums. Finally, we present an illustrative example.
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Stanisławski, Rafał, and Krzysztof J. Latawiec. "Normalized finite fractional differences: Computational and accuracy breakthroughs." International Journal of Applied Mathematics and Computer Science 22, no. 4 (2012): 907–19. http://dx.doi.org/10.2478/v10006-012-0067-9.

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This paper presents a series of new results in finite and infinite-memory modeling of discrete-time fractional differences. The introduced normalized finite fractional difference is shown to properly approximate its fractional difference original, in particular in terms of the steady-state properties. A stability analysis is also presented and a recursive computation algorithm is offered for finite fractional differences. A thorough analysis of computational and accuracy aspects is culminated with the introduction of a perfect finite fractional difference and, in particular, a powerful adaptiv
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Cheng, Jin-Fa, and Yu-Ming Chu. "Fractional Difference Equations with Real Variable." Abstract and Applied Analysis 2012 (2012): 1–24. http://dx.doi.org/10.1155/2012/918529.

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We independently propose a new kind of the definition of fractional difference, fractional sum, and fractional difference equation, give some basic properties of fractional difference and fractional sum, and give some examples to demonstrate several methods of how to solve certain fractional difference equations.
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Mohan, J. Jagan, and G. V. S. R. Deekshitulu. "Fractional Order Difference Equations." International Journal of Differential Equations 2012 (2012): 1–11. http://dx.doi.org/10.1155/2012/780619.

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A difference equation is a relation between the differences of a function at one or more general values of the independent variable. These equations usually describe the evolution of certain phenomena over the course of time. The present paper deals with the existence and uniqueness of solutions of fractional difference equations.
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Abdeljawad, Thabet, and Bahaaeldin Abdalla. "Monotonicity results for delta and nabla caputo and Riemann fractional differences via dual identities." Filomat 31, no. 12 (2017): 3671–83. http://dx.doi.org/10.2298/fil1712671a.

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Recently, some authors have proved monotonicity results for delta and nabla fractional differences separately. In this article, we use dual identities relating delta and nabla fractional difference operators to prove shortly the monotonicity properties for the (left Riemann) nabla fractional differences using the corresponding delta type properties. Also, we proved some monotonicity properties for the Caputo fractional differences. Finally, we use the Q??operator dual identities to prove monotonicity results for the right fractional difference operators.
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D. Naga Purnima. "Fractional Difference Equations with Initial Time Difference." Communications on Applied Nonlinear Analysis 32, no. 8s (2025): 829–34. https://doi.org/10.52783/cana.v32.3825.

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Liu, Ru. "Fractional Difference Approximations for Time-Fractional Telegraph Equation." Journal of Applied Mathematics and Physics 06, no. 01 (2018): 301–9. http://dx.doi.org/10.4236/jamp.2018.61029.

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Dissertations / Theses on the topic "Fractional Difference"

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Kisela, Tomáš. "Basics of Qualitative Theory of Linear Fractional Difference Equations." Doctoral thesis, Vysoké učení technické v Brně. Fakulta strojního inženýrství, 2012. http://www.nusl.cz/ntk/nusl-234025.

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Tato doktorská práce se zabývá zlomkovým kalkulem na diskrétních množinách, přesněji v rámci takzvaného (q,h)-kalkulu a jeho speciálního případu h-kalkulu. Nejprve jsou položeny základy teorie lineárních zlomkových diferenčních rovnic v (q,h)-kalkulu. Jsou diskutovány některé jejich základní vlastnosti, jako např. existence, jednoznačnost a struktura řešení, a je zavedena diskrétní analogie Mittag-Lefflerovy funkce jako vlastní funkce operátoru zlomkové diference. Dále je v rámci h-kalkulu provedena kvalitativní analýza skalární a vektorové testovací zlomkové diferenční rovnice. Výsledky analý
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Er, Aynur. "Stability of Linear Difference Systems in Discrete and Fractional Calculus." TopSCHOLAR®, 2017. http://digitalcommons.wku.edu/theses/1946.

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The main purpose of this thesis is to define the stability of a system of linear difference equations of the form, ∇y(t) = Ay(t), and to analyze the stability theory for such a system using the eigenvalues of the corresponding matrix A in nabla discrete calculus and nabla fractional discrete calculus. Discrete exponential functions and the Putzer algorithms are studied to examine the stability theorem. This thesis consists of five chapters and is organized as follows. In the first chapter, the Gamma function and its properties are studied. Additionally, basic definitions, properties and some m
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Hao, Zhaopeng. "High-order numerical methods for integral fractional Laplacian: algorithm and analysis." Digital WPI, 2020. https://digitalcommons.wpi.edu/etd-dissertations/612.

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The fractional Laplacian is a promising mathematical tool due to its ability to capture the anomalous diffusion and model the complex physical phenomenon with long-range interaction, such as fractional quantum mechanics, image processing, jump process, etc. One of the important applications of fractional Laplacian is a turbulence intermittency model of fractional Navier-Stokes equation which is derived from Boltzmann's theory. However, the efficient computation of this model on bounded domains is challenging as highly accurate and efficient numerical methods are not yet available. The bottlene
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Abdelsheed, Ismail Gad Ameen. "Fractional calculus: numerical methods and SIR models." Doctoral thesis, Università degli studi di Padova, 2016. http://hdl.handle.net/11577/3422267.

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Fractional calculus is ”the theory of integrals and derivatives of arbitrary order, which unify and generalize the notions of integer-order differentiation and n-fold integration”. The idea of generalizing differential operators to a non-integer order, in particular to the order 1/2, first appears in the correspondence of Leibniz with L’Hopital (1695), Johann Bernoulli (1695), and John Wallis (1697) as a mere question or maybe even play of thoughts. In the following three hundred years a lot of mathematicians contributed to the fractional calculus: Laplace (1812), Lacroix (1812), Fourier (1822
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Sengul, Sevgi. "Discrete Fractional Calculus and Its Applications to Tumor Growth." TopSCHOLAR®, 2010. http://digitalcommons.wku.edu/theses/161.

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Almost every theory of mathematics has its discrete counterpart that makes it conceptually easier to understand and practically easier to use in the modeling process of real world problems. For instance, one can take the "difference" of any function, from 1st order up to the n-th order with discrete calculus. However, it is also possible to extend this theory by means of discrete fractional calculus and make n- any real number such that the ½-th order difference is well defined. This thesis is comprised of five chapters that demonstrate some basic definitions and properties of discrete fractio
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Qin, Shanlin. "Fractional order models: Numerical simulation and application to medical imaging." Thesis, Queensland University of Technology, 2017. https://eprints.qut.edu.au/115108/1/115108_9066888_shanlin_qin_thesis.pdf.

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This thesis is primarily concerned with developing new models and numerical methods based on the fractional generalisation of the Bloch and Bloch-Torrey equations to account for anomalous MRI signal attenuation. The two main contributions of the research are to investigate the anomalous evolution of MRI signals via the fractionalised Bloch equations, and to develop new effective numerical methods with supporting analysis to solve the time-space fractional Bloch-Torrey equations.
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Feng, Libo. "Numerical investigation and application of fractional dynamical systems." Thesis, Queensland University of Technology, 2019. https://eprints.qut.edu.au/126980/1/Libo_Feng_Thesis.pdf.

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This thesis mainly concerns the numerical investigation and application of fractional dynamical systems. Two main problems are considered: fractional dynamical models involving the Riesz fractional operator, such as the time-space fractional Bloch-Torrey equation, and complex viscoelastic non-Newtonian Maxwell and Oldroyd-B fluid models. The two main contributions of the research are the treatment of the Riesz space fractional derivative on irregular convex domains and presenting a unified numerical scheme to solve a class of novel multi-term time fractional non-Newtonian fluid models. A rigor
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Zemčíková, Michaela. "Kvalitativní a numerická analýza zlomkových diferenciálních rovnic." Master's thesis, Vysoké učení technické v Brně. Fakulta strojního inženýrství, 2013. http://www.nusl.cz/ntk/nusl-230944.

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This master's thesis deals with fractional differential equations. One of the aims of this thesis is to mention summary of basic types of fractional differential equations. It is very difficult to find their exact solution, hence we will analyze the main qualitative properties of solution, which are stability and asymptotics. Part of the text will be devoted to fractional difference equations, i.e. discussion of numerical solution. At the end of thesis the Bagley-Torvik model will be described with respect to qualitative properties and numerical solution.
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Acar, Nihan. "Development of Nabla Fractional Calculus and a New Approach to Data Fitting in Time Dependent Cancer Therapeutic Study." TopSCHOLAR®, 2012. http://digitalcommons.wku.edu/theses/1146.

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The aim of this thesis is to develop discrete fractional models of tumor growth for a given data and to estimate parameters of these models in order to have better data tting. We use discrete nabla fractional calculus because we believe the discrete counterpart of this mathematical theory will give us a better and more accurate outcome. This thesis consists of ve chapters. In the rst chapter, we give the history of the fractional calculus, and we present some basic de nitions and properties that are used in this theory. We de ne nabla fractional exponential and then nabla fractional trigonomet
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Blanc, Emilie. "Time-domain numerical modeling of poroelastic waves : the Biot-JKD model with fractional derivatives." Phd thesis, Aix-Marseille Université, 2013. http://tel.archives-ouvertes.fr/tel-00954506.

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Une modélisation numérique des ondes poroélastiques, décrites par le modèle de Biot, est proposée dans le domaine temporel. La dissipation visqueuse à l'intérieur des pores est décrite par le modèle de perméabilité dynamique, développé par Johnson-Koplik-Dashen (JKD). Certains coefficients du modèle de Biot-JKD sont proportionnels à la racine carrée de la fréquence : dans le domaine temporel, ces coefficients introduisent des dérivées fractionnaires décalées d'ordre 1/2, qui reviennent à un produit de convolution. Basé sur une représentation diffusive, le produit de convolution est remplacé pa
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Books on the topic "Fractional Difference"

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Ferreira, Rui A. C. Discrete Fractional Calculus and Fractional Difference Equations. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-030-92724-0.

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Annaby, Mahmoud H. q-Fractional Calculus and Equations. Springer Berlin Heidelberg, 2012.

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Abbas, Saïd. Topics in Fractional Differential Equations. Springer New York, 2012.

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Ahlbrandt, Calvin D. Discrete Hamiltonian systems: Difference equations, continued fractions, and Riccati equations. Kluwer Academic Publishers, 1996.

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Ferreira, Rui A. C. Discrete Fractional Calculus and Fractional Difference Equations. Springer International Publishing AG, 2022.

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Sun, Zhi-zhong, China Science Publishing &. Media China Science Publishing &. Media Ltd, and Guang-hua Gao. Fractional Differential Equations: Finite Difference Methods. de Gruyter GmbH, Walter, 2020.

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Sun, Zhi-zhong, China Science Publishing & Media China Science Publishing & Media Ltd., and Guang-hua Gao. Fractional Differential Equations: Finite Difference Methods. de Gruyter GmbH, Walter, 2020.

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Sun, Zhi-zhong, China Science Publishing & Media China Science Publishing & Media Ltd., and Guang-hua Gao. Fractional Differential Equations: Finite Difference Methods. de Gruyter GmbH, Walter, 2020.

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Ortigueira, Manuel Duarte, and Duarte Valério. Fractional Signals and Systems. de Gruyter GmbH, Walter, 2020.

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Ortigueira, Manuel Duarte, and Duarte Valério. Fractional Signals and Systems. de Gruyter GmbH, Walter, 2021.

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Book chapters on the topic "Fractional Difference"

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Ferreira, Rui A. C. "Fractional Difference Equations." In Discrete Fractional Calculus and Fractional Difference Equations. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-92724-0_3.

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Goodrich, Christopher, and Allan C. Peterson. "Basic Difference Calculus." In Discrete Fractional Calculus. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-25562-0_1.

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Annaby, Mahmoud H., and Zeinab S. Mansour. "Fractional q-Difference Equations." In Lecture Notes in Mathematics. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-30898-7_8.

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Owolabi, Kolade M., and Abdon Atangana. "Finite Difference Approximations." In Numerical Methods for Fractional Differentiation. Springer Singapore, 2019. http://dx.doi.org/10.1007/978-981-15-0098-5_2.

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Ferreira, Rui A. C. "Discrete Fractional Calculus." In Discrete Fractional Calculus and Fractional Difference Equations. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-92724-0_2.

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Ferreira, Rui A. C. "Discrete Calculus." In Discrete Fractional Calculus and Fractional Difference Equations. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-92724-0_1.

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Ferreira, Rui A. C. "Calculus of Variations." In Discrete Fractional Calculus and Fractional Difference Equations. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-92724-0_4.

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Deekshitulu, G. V. S. R., and J. Jagan Mohan. "Some New Fractional Difference Inequalities." In Mathematical Modelling and Scientific Computation. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-28926-2_44.

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Meganathan, M., S. Vasuki, B. Chandra Sekar, and G. Britto Antony Xavier. "Discrete Fractional Sumudu Transform by Inverse Fractional Difference Operator." In Springer Proceedings in Mathematics & Statistics. Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-33-4646-8_22.

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Egolf, Peter William, and Kolumban Hutter. "The Difference-Quotient Turbulence Model (DQTM)." In Nonlinear, Nonlocal and Fractional Turbulence. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-26033-0_7.

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Conference papers on the topic "Fractional Difference"

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Pawluszewicz, Ewa. "The polynomial approach to accessibility of nonlinear fractional order difference system." In 2024 28th International Conference on Methods and Models in Automation and Robotics (MMAR). IEEE, 2024. http://dx.doi.org/10.1109/mmar62187.2024.10680795.

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Nim, Xintong, Yiheng Wei, Shuaiyu Zhou, and Meng Tao. "Robust Distributed Resource Allocation Based on PID Control with Nabla Fractional Difference." In 2024 International Conference on New Trends in Computational Intelligence (NTCI). IEEE, 2024. https://doi.org/10.1109/ntci64025.2024.10776190.

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Liu, Shumiao, Yinru Bai, Xuping Wang, and Jingping Hai. "Difference in Inductance Between Integer Slot and Fractional Slot THMF-PC-PMSMs." In 2024 The 9th International Conference on Power and Renewable Energy (ICPRE). IEEE, 2024. https://doi.org/10.1109/icpre62586.2024.10768390.

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Rydel, Marek, and Rafał Stanisławski. "Poles sequence selection in implementation of fractional-order difference via Takenaka-Malmquist functions." In 2024 28th International Conference on Methods and Models in Automation and Robotics (MMAR). IEEE, 2024. http://dx.doi.org/10.1109/mmar62187.2024.10680792.

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Wang, Shucai, Xin Gao, and Lifei Wu. "A new fast parallel difference scheme for nonlinear time fractional reaction-diffusion equation on graded meshes." In Fifth International Conference on Signal Processing and Computer Science (SPCS 2024), edited by Haiquan Zhao and Lei Chen. SPIE, 2025. https://doi.org/10.1117/12.3052926.

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Xiao, Huang, Yutian Ma, and Changpin Li. "Chaos in fractional difference equation." In 2012 IEEE/ASME 8th International Conference on Mechatronic and Embedded Systems and Applications (MESA). IEEE, 2012. http://dx.doi.org/10.1109/mesa.2012.6275582.

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Mozyrska, Dorota. "Difference fractional linear initial value problems." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2012: International Conference of Numerical Analysis and Applied Mathematics. AIP, 2012. http://dx.doi.org/10.1063/1.4756423.

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Ostalczyk, Piotr W. "The Time-Varying Fractional Order Difference Equations." In ASME 2003 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/detc2003/vib-48374.

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In this paper we explore the linear difference equations with fractional orders being a function of time. A description of closed-loop dynamical systems described by such equations is proposed. In the numerical example a simple control strategy based on time-varying fractional orders is presented.
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Ashyralyev, Allaberen, Zafer Cakir, Theodore E. Simos, George Psihoyios, Ch Tsitouras, and Zacharias Anastassi. "Stable Difference Schemes for Fractional Parabolic PDE." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: International Conference on Numerical Analysis and Applied Mathematics. AIP, 2011. http://dx.doi.org/10.1063/1.3636806.

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Singh, Sandeep Kumar, Sanjay Mishra, and Pranav Sharma. "On difference double sequences of fractional order." In RECENT ADVANCES IN FUNDAMENTAL AND APPLIED SCIENCES: RAFAS2016. Author(s), 2017. http://dx.doi.org/10.1063/1.4990327.

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Reports on the topic "Fractional Difference"

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Calónico, Sebastián, and Hugo R. Ñopo. Returns to Private Education in Peru. Inter-American Development Bank, 2007. http://dx.doi.org/10.18235/0010873.

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The private provision of educational services has been representing an increasing fraction of the Peruvian schooling system, especially in recent decades. While there have been many claims about the differences in quality between private and public schools, there is no complete assessment of the different impacts of these two type of providers on the labor markets. This paper attempts to provide such a comprehensive overview by exploring private-public differences in the individual returns to education in Urban Peru. Exploiting a rich pair of data sets (ENNIV 1997 and 2000) that include questi
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Cristia, Julian P., Nicolas L. Bottan, and Paulo Bastos. Access to Preprimary Education and Progression in Primary School: Evidence from Rural Guatemala. Inter-American Development Bank, 2012. http://dx.doi.org/10.18235/0011437.

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Evidence on the impacts of a large-scale expansion in public preprimary education is limited and mostly circumscribed to high and middle-income countries. This paper estimates the effects of such an expansion on progression in primary school in rural communities of Guatemala. Combining administrative and population census data in a difference-in-difference framework, the paper examines a large-scale construction program that increased the number of preprimaries from around 5,300 to 11,500 between 1998 and 2005. The results indicate that the program increased by 2. 1 percentage points the fract
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Alsuwailem, Majed, David Soud, and Fahad Alyahya. Unraveling the Black Market for Oil: The Complex Web of Phantom Trade and Its Reverberating Effects on Energy Security, Trade Balances, and Social Welfare. King Abdullah Petroleum Studies and Research Center, 2024. http://dx.doi.org/10.30573/ks--2024-dp44.

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In the energy market, the black market1 for oil embodies the ancient parable of the blind men and the elephant. Just as the blind men each touched a different part of the elephant and experienced only a fraction of its true nature, so do policymakers perceive the black market for oil through narrow lenses. However, this market, like the imposing elephant, manifests itself in diverse and multifaceted forms that demand nuanced understanding and cannot be dismissed.
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Medrano, Juan, Adam Friedmann, Moshe (Morris) Soller, Ehud Lipkin, and Abraham Korol. High resolution linkage disequilibrium mapping of QTL affecting milk production traits in Israel Holstein dairy cattle. United States Department of Agriculture, 2008. http://dx.doi.org/10.32747/2008.7696509.bard.

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Original objectives: To create BAC contigs covering two QTL containing chromosomal regions (QTLR) and obtain BAC end sequence information as a platform for SNP identification. Use the SNPs to search for marker-QTL linkage disequilibrium (LD) in the test populations (US and Israel Holstein cattle). Identify candidate genes, test for association with dairy cattle production and functional traits, and confirm any associations in a secondary test population. Revisions in the course of the project: The selective recombinant genotyping (SRG) methodology which we implemented to provide moderate resol
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Lew, Chong Zhi, and Ting Chi Yeh. Pediatric Extracranial Germ Cell Tumor: Clinical Perspective of Autologous Hematopoietic Cell Transplantation. INPLASY - International Platform of Registered Systematic Review and Meta-analysis Protocols, 2023. http://dx.doi.org/10.37766/inplasy2023.1.0081.

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Review question / Objective: A large number of systematic reviews and meta-analyses (SRs/MAs) involving sodium-glucose cotransporter-2 inhibitors (SGLT-2is) in the treatment of heart failure with preserved ejection fraction (HFpEF) have different outcomes. Condition being studied: The efficacy of SGLT-2is on HFpEF is currently a hot topic. However, the results of SRs/MAs conducted on relevant randomized controlled trials (RCTs) are inconsistent. We aim to conduct an umbrella review of existing SRs/MAs, to comprehensively evaluate study quality, and to incorporate calculated data from RCTs to u
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Horn, Dominik. Measurement of the Exclusive and Inclusive Branching Fractions of $B^{0}_{s} \to D^{(*)+}_{s}D^{(*)-}_{s}$ Decays at CDF and its Implications on the Decay Width Difference in the $B^{0}_{s}-B^{-0}_{s}$ Meson System. Office of Scientific and Technical Information (OSTI), 2011. http://dx.doi.org/10.2172/1342220.

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Gallardo, Lourdes, and Hugo R. Ñopo. Ethnic and Gender Wage Gaps in Ecuador. Inter-American Development Bank, 2009. http://dx.doi.org/10.18235/0010911.

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Returns to labor for workers with similar endowments of productive characteristics in Ecuador are influenced by two characteristics that, arguably, should play no role on the determination of wages: gender and ethnicity. This paper analyzes wage gaps due to both characteristics in Ecuador for the period 2003-2007, applying a matching comparisons technique developed in Ñopo (2008). The results indicate ethnic wage gaps that are notably higher than gender wage gaps. Furthermore, ethnic wage gaps are higher among males than among females. Differences in human capital characteristics, however, exp
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Muñoz, Ercio, and Gabriela Jaque. Sibling Correlations in Schooling around the World: A New Database. Inter-American Development Bank, 2024. http://dx.doi.org/10.18235/0013272.

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We estimate sibling correlations in schooling (i.e., the fraction of inequality in educational outcomes that can be attributed to factors shared by siblings) for 94 countries, accounting for 85% of the world population. With this new database, we document several findings. On average, at least 51% of the inequality in schooling can be explained by shared family background. There are large regional differences, with North America and South Asia displaying the lowest and highest sibling correlations, respectively. There is important heterogeneity within some regions. The average sibling correlat
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9

Cohen, Shabtai, Melvin Tyree, Amos Naor, Alan N. Lakso, Terence L. Robinson, and Yehezkiel Cohen. Influence of hydraulic properties of rootstocks and the rootstock-scion graft on water use and productivity of apple trees. United States Department of Agriculture, 2001. http://dx.doi.org/10.32747/2001.7587219.bard.

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This one year exploratory project investigated hydraulic architecture of apple dwarfing rootstocks. The hypothesis was that hydraulic conductance is correlated with rootstock vigor. A previous study of trees on three rootstocks in Israel showed that dwarfed trees used less water than un-dwarfed trees. Analysis showed that if the tree maintains leaf water potentials above minimum values, then this implies that the dwarfed trees have lower leaf conductance, which may also be the cause of dwarfing. The current project studied small 2-year old unworked rootstock trees, and full sized trees bearing
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10

Gutiérrez Fernández, Emilio, and Adrian Rubli. Challenges for Measuring the LGBT+ Population and Homophobia in Mexico. Inter-American Development Bank, 2023. http://dx.doi.org/10.18235/0004747.

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We contribute to understanding the challenges for estimating the size of the LGBTQ population and discriminatory sentiment against it by surveying 10,003 individuals, whom we randomize into a direct question or an Item Count Technique (ICT) elicitation group. The fractions of the population that self-identify as LGBTQ, that reports having had same-sex sexual experiences, and that has felt same-sex attraction are higher for our sample than those obtained from government surveys. However, the difference between estimates recovered from our direct questions and through the ICT does not always hav
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