Results 11 to 20 of about 239,946 (299)
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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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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Fractional Integral Inequalities via Hadamard’s Fractional Integral [PDF]
Abstract 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
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Noncommutative fractional integrals [PDF]
Studia 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
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Fractional Integration and Cointegration [PDF]
, 2023 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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Fractional integral inequalities involving Marichev–Saigo–Maeda fractional integral operator [PDF]
Journal of Inequalities and Applications, 2020 AbstractThe aim of this present investigation is establishing Minkowski fractional integral inequalities and certain other fractional integral inequalities by employing the Marichev–Saigo–Maeda (MSM) fractional integral operator. The inequalities presented in this paper are more general than the existing classical inequalities cited.
Asifa Tassaddiq +5 more
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On delta and nabla Caputo fractional differences and dual identities [PDF]
, 2013 We Investigate two types of dual identities for Caputo fractional differences. The first type relates nabla and delta type fractional sums and differences.
Abdeljawad, Thabet
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Tourism persistence in the Southeastern European countries: The impact of covid-19
Cogent Economics & Finance, 2023 This paper examines tourism persistence in a group of Southeastern European (SEE) countries (Albania, Bosnia, Bulgaria, Croatia, Montenegro, North Macedonia, Serbia and Slovenia) by applying fractional integration methods to monthly data on foreign ...
Guglielmo Maria Caporale +2 more
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Fractionally Integrated COGARCH Processes* [PDF]
Journal of Financial Econometrics, 2018 We construct fractionally integrated continuous-time GARCH models, which capture the observed long range dependence of squared volatility in high-frequency data. Since the usual Molchan-Golosov and Mandelbrot-van-Ness fractional kernels lead to problems in the definition of the model, we resort to moderately long memory processes by choosing a ...
Haug, Stephan +2 more
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Numerical Solution of Fokker-Planck-Kolmogorov Time Fractional Differential Equations Using Legendre Wavelet Method Along with convergence and error analysis [PDF]
مدلسازی پیشرفته ریاضیThe purpose of this paper is to present an efficient numerical method for finding numerical solutions Fokker-Planck-Kolmogorov time-fractional differential equations.The Legendre wavelet approach was employed for this objective. The Legendre wave was the
شعبان محمدی +1 more
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