Results 41 to 50 of about 40,863 (167)
Современная математика: Фундаментальные направления, 2022 In this paper, we consider the boundedness of integrals of fractional Hadamard integration and Hadamard-type integration (mixed and directional) in Lebesgue spaces with mixed norm.
M. U. Yakhshiboyev
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Calculus of variations with fractional derivatives and fractional integrals
Applied Mathematics Letters, 2009 We prove Euler-Lagrange fractional equations and sufficient optimality conditions for problems of the calculus of variations with functionals containing both fractional derivatives and fractional integrals in the sense of Riemann-Liouville.
Ricardo Almeida 0001 +1 more
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Fractional integration operator of variable order in the holder spaces Hλ(x)
International Journal of Mathematics and Mathematical Sciences, 1995 The fractional integrals Ia+α(x)φ of variable order α(x) are considered. A theorem on mapping properties of Ia+α(x)φ in Holder-type spaces Hλ(x) is proved, this being a generalization of the well known Hardy-Littlewood theorem.
Bertram Ross, Stefan Samko
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Long Memory Characteristics of Global Temperature Anomalies (1850–2025)
AtmosphereThe oceans have absorbed most of the excess heat generated by anthropogenic climate change, yet the temporal structure of this warming remains insufficiently understood.
Luis Alberiko Gil-Alana +2 more
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Adaptive Fractional Differencing for Learning-Optimal Long-Memory Preservation
IEEE AccessForecasting and prediction in financial time series are fundamentally challenging due to non-stationarity and long-range dependence (LRD) nature of such series.
Sarit Maitra
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TÜRKİYE’DE SATIN ALMA GÜCÜ PARİTESİ HİPOTEZİNİN GEÇERLİLİĞİ: UZUN HAFIZA TESTLERİNDEN KANITLAR
Mehmet Akif Ersoy Üniversitesi İktisadi ve İdari Bilimler Fakültesi Dergisi, 2018 Esnekkur rejiminin küresel anlamda yaygınlaşmasıyla birlikte döviz kuru öngörüsü deönem kazanmaya başlamıştır. Döviz kurları, başta dış ticaret dengesi olmaküzere, yatırım kararlarının alınmasında ve küresel gelirden daha fazla payalabilmek için merkez ...
İsmail Çelik, Harun Kaya
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ON FRACTIONAL VOLTERRA INTEGRODIFFERENTIAL EQUATIONS WITH FRACTIONAL INTEGRABLE IMPULSES
Mathematical Modelling and Analysis, 2019 We consider a class of nonlinear fractional Volterra integrodifferential equation with fractional integrable impulses and investigate the existence and uniqueness results in the Bielecki’s normed Banach spaces. Further, Bielecki-Ulam type stabilities have been demonstrated on a compact interval. A concrete example is provided to illustrate the outcomes
Sagar Sutar, Kishor D. Kucche
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On the integral of fractional Poisson processes [PDF]
Statistics & Probability Letters, 2013 In this paper we consider the Riemann--Liouville fractional integral $\mathcal{N}^{α,ν}(t)= \frac{1}{Γ(α)} \int_0^t (t-s)^{α-1}N^ν(s) \, \mathrm ds $, where $N^ν(t)$, $t \ge 0$, is a fractional Poisson process of order $ν\in (0,1]$, and $α> 0$. We give the explicit bivariate distribution $\Pr \{N^ν(s)=k, N^ν(t)=r \}$, for $t \ge s$, $r \ge k$, the ...
E. Orsingher, POLITO, Federico
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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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Trends and persistence in ocean acidification as measured by station ALOHA
Frontiers in Marine ScienceOcean acidification, largely driven by the uptake of anthropogenic carbon dioxide, is reflected in a sustained decline in seawater pH. This paper examines the dynamics of surface-ocean pH at Station ALOHA over the period 1985–2024 using fractional ...
Guglielmo Maria Caporale +4 more
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