Results 11 to 20 of about 49,276 (273)
Fractional Integrals and Derivatives: Mapping Properties [PDF]
Fractional Calculus and Applied Analysis, 2016 This survey is aimed at the audience of readers interested in the information on mapping properties of various forms of fractional integration operators, including multidimensional ones, in a large scale of various known function spaces.As is well known,
Stefan G Samko, Humberto Rafeiro
exaly +3 more sources
Some Integral Inequalities for Local Fractional Integrals
International Journal of Analysis and Applications, 2017 In this paper, firstly we extend some generalization of the Hermite-Hadamard inequality and Bullen inequality to generalized convex functions. Then, we give some important integral inequalities related to these inequalities.
M. Zeki Sarikaya +2 more
doaj +5 more sources
Generalized Steffensen Inequalities for Local Fractional Integrals
International Journal of Analysis and Applications, 2017 Firstly we give a important integral inequality which is generalized Steffensen’s inequality. Then, we establish weighted version of generalized Steffensen’s inequality for local fractional integrals. Finally, we obtain several inequalities related these
Mehmet Zeki Sarikaya +2 more
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A novel method for approximate solution of two point non local fractional order coupled boundary value problems. [PDF]
PLoS ONEThe aim of this paper is to investigate the solution of fractional-order partial differential equations and their coupled systems. A novel method is proposed, which effectively handles these problems under two-point non-local boundary conditions.
Lahoucine Tadoummant +4 more
doaj +2 more sources
Local discontinuous Galerkin method for the fractional diffusion equation with integral fractional Laplacian [PDF]
Computers & Mathematics with Applications, 2021 11 ...
Daxin Nie, Weihua Deng
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Local Convergence of the FEM for the Integral Fractional Laplacian
SIAM Journal on Numerical Analysis, 2022 We provide for first order discretizations of the integral fractional Laplacian sharp local error estimates on proper subdomains in both the local $H^1$-norm and the localized energy norm. Our estimates have the form of a local best approximation error plus a global error measured in a weaker norm.
Markus Faustmann +2 more
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Journal of Inequalities and Applications, 2022 In this paper, we present a generalized Jensen-type inequality for generalized harmonically convex function on the fractal sets, and a generalized Jensen–Mercer inequality involving local fractional integrals is obtained.
Saad Ihsan Butt +3 more
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Exact local Whittle estimation of fractional integration [PDF]
The Annals of Statistics, 2005 An exact form of the local Whittle likelihood is studied with the intent of developing a general-purpose estimation procedure for the memory parameter (d) that does not rely on tapering or differencing prefilters. The resulting exact local Whittle estimator is shown to be consistent and to have the same N(0,{1/4}) limit distribution for all values of d
Shimotsu, Katsumi, Phillips, Peter C B
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Журнал Белорусского государственного университета: Математика, информатика, 2022 In this paper, we investigate the features of higher order Gubinelli derivatives of controlled rough paths having an arbitrary positive Holder index. There is used a notion of the (α, β)-rough map on the basis of which the sufficient conditions are given
Maksim M. Vaskovskii
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Intersection local times of independent fractional Brownian motions as generalized white noise functionals [PDF]
, 2010 In this work we present expansions of intersection local times of fractional Brownian motions in $\R^d$, for any dimension $d\geq 1$, with arbitrary Hurst coefficients in $(0,1)^d$.
C. Bender +22 more
core +2 more sources