Results 41 to 50 of about 755,580 (294)
Hardy-Littlewood, Bessel-Riesz, and fractional integral operators in anisotropic Morrey and Campanato spaces [PDF]
, 2018 We analyse Morrey spaces, generalised Morrey spaces and Campanato spaces on homogeneous groups. The boundedness of the Hardy-Littlewood maximal operator, Bessel-Riesz operators, generalised Bessel-Riesz operators and generalised fractional integral ...
Yessirkegenov, N +5 more
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MORREY SPACES AND FRACTIONAL OPERATORS [PDF]
Journal of the Australian Mathematical Society, 2010 AbstractThe relation between the fractional integral operator and the fractional maximal operator is investigated in the framework of Morrey spaces. Applications to the Fefferman–Phong and the Olsen inequalities are also included.
openaire +1 more source
Fractional‐order operators on nonsmooth domains
Journal of the London Mathematical Society, 2023 Abstract The fractional Laplacian , , and its generalizations to variable‐coefficient ‐order pseudodifferential operators , are studied in ‐Sobolev spaces of Bessel‐potential type . For a bounded open set , consider the homogeneous Dirichlet problem: in , in .
Abels, Helmut, Grubb, Gerd
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Variable-Order Fractional Calculus: from Old to New Approaches
, 2023 Different approaches to introduce fractional derivatives and integrals of variable order have been proposed. The majority of these operators are obtained by replacing the constant order with some function in the time-domain formulation of the usual ...
Garrappa R., Giusti A., Mainardi F.
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On mathematical modeling of fractional-order stochastic for tuberculosis transmission dynamics
Results in Control and Optimization, 2023 Tuberculosis remains one of the most dangerous diseases globally and has affected many people in Sub-Saharan Africa. In this paper, a fractional stochastic model of tuberculosis disease was formulated and analyzed.
C.W. Chukwu +3 more
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Fractal and Fractional, 2022 In this paper, by adopting the classical method of proofs, we establish certain new Chebyshev and Grüss-type inequalities for unified fractional integral operators via an extended generalized Mittag-Leffler function. The main results are more general and
Wengui Yang
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FEBS Letters, EarlyView.We present robust protocols for the preparation of supported lipid bilayers (SLBs) incorporating either Salmonella smooth LPS or outer membrane vesicles (OMVs). We use a combination of quartz crystal microbalance with dissipation (QCM‐D) and fluorescence microscopy to both characterize the SLBs of various compositions and to probe their interactions ...
Hudson P. Pace +6 more
wiley +1 more source
On a New Class of Fractional Difference-Sum Operators with Discrete Mittag-Leffler Kernels
Mathematics, 2019 We formulate a new class of fractional difference and sum operators, study their fundamental properties, and find their discrete Laplace transforms. The method depends on iterating the fractional sum operators corresponding to fractional differences with
Thabet Abdeljawad, Arran Fernandez
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Weak Type Inequalities for Some Integral Operators on Generalized Nonhomogeneous Morrey Spaces
Journal of Function Spaces and Applications, 2013 We prove weak type inequalities for some integral operators, especially generalized fractional integral operators, on generalized Morrey spaces of nonhomogeneous type.
Hendra Gunawan +3 more
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Weighted inequalities for fractional Hardy operators and commutators
Journal of Inequalities and Applications, 2019 In this paper, we introduce a fractional maximal operators Nα $N_{\alpha }$ on (0,∞) $(0,\infty )$ associated to the fractional Hardy operator Pα $P_{\alpha }$ and its dual Qα,0 ...
Wenming Li, Dong Liu, Jing Liu
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