Results 1 to 10 of about 44,097 (315)
FRACTIONAL INTEGRATION TOOLBOX. [PDF]
Fract Calc Appl Anal, 2013 The problems formulated in the fractional calculus framework often require numerical fractional integration/differentiation of large data sets. Several existing fractional control toolboxes are capable of performing fractional calculus operations, however, none of them can efficiently perform numerical integration on multiple large data sequences.
Marinov TM, Ramirez N, Santamaria F.
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A fractional calculus on arbitrary time scales: Fractional differentiation and fractional integration [PDF]
Signal Processing, 2015 We introduce a general notion of fractional (noninteger) derivative for functions defined on arbitrary time scales. The basic tools for the time-scale fractional calculus (fractional differentiation and fractional integration) are then developed. As particular cases, one obtains the usual time-scale Hilger derivative when the order of differentiation ...
Artur M C Brito da Cruz +1 more
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A New Fractional Integration Operational Matrix of Chebyshev Wavelets in Fractional Delay Systems
Fractal and Fractional, 2019 Fractional integration operational matrix of Chebyshev wavelets based on the Riemann−Liouville fractional integral operator is derived directly from Chebyshev wavelets for the first time.
Iman Malmir
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Fractional Integration and Differentiation by new Transformation
Wasit Journal for Pure Sciences, 2023 In opposite to differentiation and integration of integer order, an important type of differentiation and integration is the so - called “ Fractional Calculus (FC) ” in which the differentiation and integration is of non-integer order.
Anfal khalil, Basim Albuohimad
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Global Mean Sea Level. Time Trends and Persistence with Long Range Dependent Data
Frontiers in Physics, 2021 Global mean sea level data are examined in this work by looking at the presence of time trends in the context of long memory or long range dependent processes.
Luis Alberiko Gil-Alana +1 more
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Fractional Line Integral [PDF]
Mathematics, 2021 This paper proposed a definition of the fractional line integral, generalising the concept of the fractional definite integral. The proposal replicated the properties of the classic definite integral, namely the fundamental theorem of integral calculus. It was based on the concept of the fractional anti-derivative used to generalise the Barrow formula.
Gabriel Bengochea, Manuel Ortigueira
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Cogent Economics & Finance, 2022 This paper assesses the impact of US policy responses to the Covid-19 pandemic on various technology-related assets such as cryptocurrencies, financial technology, and artificial intelligence stocks using fractional integration techniques. More precisely,
Emmanuel Joel Aikins Abakah +2 more
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THE IMPACT OF COVID-19 ON THE TOURISM SECTOR IN BOSNIA AND HERZEGOVINA [PDF]
Geo Journal of Tourism and Geosites, 2022 In this study, we examine the degree of persistence in tourism in Bosnia and Herzegovina and the impact that the COVID-19 pandemic has had on it. The series investigated are foreign arrivals and overnight stays for the time period from January 2008 to ...
Amir IMERI, Luis A. GIL-ALANA
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Fractional Integration and Cointegration [PDF]
, 2023 Abstract Fractionally integrated and fractionally cointegrated time series are classes of models that generalize standard notions of integrated and cointegrated time series. The fractional models are characterized by a small number of memory parameters that control the degree of fractional integration and/or cointegration.
Hualde, Javier +1 more
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Mathematics, 2023 This paper deals with the analysis of the persistence in the Harmonized Indices of Consumer Prices in France, Germany, Italy, and Spain. The degree of persistence is measured through fractional integration or I (d) techniques, using monthly data from ...
Raquel Ayestarán +3 more
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