Results 71 to 80 of about 40,863 (167)

Air Pollution in 88 US Metropolitan Areas: Trends and Persistence

open access: yesAtmosphere
This paper analyses trends and persistence in air pollution levels in 88 US metropolitan areas using fractional integration methods. The results indicate that the differencing parameter d is higher than 0 in 38 of the series, which supports the ...
Guglielmo Maria Caporale   +3 more
doaj   +1 more source

Eventual ideal properties of the Riemann-Liouville analytic semigroup

open access: yesConcrete Operators
In this paper, we revisit the Riemann–Liouville analytic semigroup. In particular, we completely characterize the membership in the Schatten class Sr ${\mathcal{S}}^{r}$ on L 2(0, 1), as well as the membership in the class of nuclear operators on L p(0,
Al Alam Ihab   +4 more
doaj   +1 more source

New fractional integral unifying six existing fractional integrals

open access: yes, 2016
In this paper we introduce a new fractional integral that generalizes six existing fractional integrals, namely, Riemann-Liouville, Hadamard, Erdélyi-Kober, Katugampola, Weyl and Liouville fractional integrals in to one form. Such a generalization takes the form \[ \left({}^ρ\mathcal{I}^{α, β}_{a+;η, κ}f\right)(x)=\frac{ρ^{1-β}x^κ}{Γ(α)}\int_a^x \frac ...
openaire   +2 more sources

Spherical fractional integrals [PDF]

open access: yesTransactions of the American Mathematical Society, 1957
openaire   +2 more sources

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

open access: yes, 2017
Bashir Ahmad   +3 more
openaire   +1 more source

An introduction to the generalized fractional integration

open access: yesBoletim da Sociedade Paranaense de Matemática, 2012
Summary: The purpose of the present paper is to investigate the generalized fractional integration of the generalized \(M\)-series. Some results derived by \textit{R. K. Saxena} and \textit{M. Saigo} [Fract. Calc. Appl. Anal. 8, No. 2, 141--154 (2005; Zbl 1144.26010)], \textit{St. G. Samko} et al.
openaire   +2 more sources

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