Results 1 to 10 of about 238,951 (299)
FRACTIONAL INTEGRATION TOOLBOX. [PDF]
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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Fractional Line Integral [PDF]
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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Fractional Integration and Differentiation by new Transformation
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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THE IMPACT OF COVID-19 ON THE TOURISM SECTOR IN BOSNIA AND HERZEGOVINA [PDF]
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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Global Mean Sea Level. Time Trends and Persistence with Long Range Dependent Data
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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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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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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Robust interpolation of sequences with periodically stationary multiplicative seasonal increments
We consider stochastic sequences with periodically stationary generalized multiple increments of fractional order which combines cyclostationary, multi-seasonal, integrated and fractionally integrated patterns.
M.M. Luz, M.P. Moklyachuk
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Fractional Integral Inequalities via Hadamard’s Fractional Integral [PDF]
We establish new fractional integral inequalities, via Hadamard’s fractional integral. Several new integral inequalities are obtained, including a Grüss type Hadamard fractional integral inequality, by using Young and weighted AM-GM inequalities. Many special cases are also discussed.
Weerawat Sudsutad +2 more
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Noncommutative fractional integrals [PDF]
Let $\M$ be a hyperfinite finite von Nemann algebra and $(\M_k)_{k\geq 1}$ be an increasing filtration of finite dimensional von Neumann subalgebras of $\M$. We investigate abstract fractional integrals associated to the filtration $(\M_k)_{k\geq 1}$. For a finite noncommutative martingale $x=(x_k)_{1\leq k\leq n} \subseteq L_1(\M)$ adapted to $(\M_k)_{
Randrianantoanina, Narcisse, Wu, Lian
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