Results 1 to 10 of about 238,951 (299)

FRACTIONAL INTEGRATION TOOLBOX. [PDF]

open access: yesFract 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.
europepmc   +5 more sources

Fractional Line Integral [PDF]

open access: yesMathematics, 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
openaire   +3 more sources

Fractional Integration and Differentiation by new Transformation

open access: yesWasit 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
doaj   +1 more source

THE IMPACT OF COVID-19 ON THE TOURISM SECTOR IN BOSNIA AND HERZEGOVINA [PDF]

open access: yesGeo 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
doaj   +1 more source

Global Mean Sea Level. Time Trends and Persistence with Long Range Dependent Data

open access: yesFrontiers 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
doaj   +1 more source

The effects of us covid-19 policy responses on cryptocurrencies, fintech and artificial intelligence stocks: A fractional integration analysis

open access: yesCogent 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
doaj   +1 more source

Evidence of Inflation Using Harmonized Consumer Price Indices in Some Euro Countries: France, Germany, Italy, and Spain, along with the Euro Zone

open access: yesMathematics, 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
doaj   +1 more source

Robust interpolation of sequences with periodically stationary multiplicative seasonal increments

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2022
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
doaj   +1 more source

Fractional Integral Inequalities via Hadamard’s Fractional Integral [PDF]

open access: yesAbstract and Applied Analysis, 2014
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
openaire   +4 more sources

Noncommutative fractional integrals [PDF]

open access: yesStudia Mathematica, 2016
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
openaire   +2 more sources

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