Results 21 to 30 of about 10,319 (253)
Non-symmetric stable operators: Regularity theory and integration by parts [PDF]
Advances in Mathematics, 2020 We study solutions to $Lu=f$ in $\Omega\subset\mathbb R^n$, being $L$ the generator of any, possibly non-symmetric, stable L\'evy process. On the one hand, we study the regularity of solutions to $Lu=f$ in $\Omega$, $u=0$ in $\Omega^c$, in $C^{1,\alpha}$
S. Dipierro +3 more
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An analysis of temperature anomalies in Chile using fractional integration
Stochastic environmental research and risk assessment (Print), 2023 This paper deals with the study of stationarity and mean reversion in the temperature anomalies series in the southwestern American cone. In particular, monthly temperatures in 12 Chilean meteorological stations were studied (from the 1960’s to nowadays),
L. Gil‐Alana +2 more
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Sensors, 2023 Future GRACE-like geodesy missions could benefit from adopting accelerometer technology akin to that of the LISA Pathfinder, which employed laser interferometric readout at the sub-picometer level in addition to the conventional capacitive sensing, which
Victor Huarcaya +9 more
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The fractional Laplacian in power-weighted $L^p$ spaces: integration-by-parts formulas and self-adjointness [PDF]
, 2015 We consider the fractional Laplacian operator $(-\Delta)^s$ (let $ s \in (0,1) $) on Euclidean space and investigate the validity of the classical integration-by-parts formula that connects the $ L^2(\mathbb{R}^d) $ scalar product between a function and ...
Matteo Muratori
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Advances in Difference Equations, 2020 In this article, we present some new properties of the fractional proportional derivatives of a function with respect to a certain function. We use a modified Laplace transform to find the relation between the derivatives in the Riemann–Liouville setting
Fahd Jarad +3 more
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A Survey of System Level Power Management Schemes in the Dark-Silicon Era for Many-Core Architectures [PDF]
EAI Endorsed Transactions on Industrial Networks and Intelligent Systems, 2018 Power consumption in Complementary Metal Oxide Semiconductor (CMOS) technology has escalated to a point that only a fractional part of many-core chips can be powered-on at a time.
Emmannuel Ofori-Attah +2 more
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On fractional derivatives with generalized Mittag-Leffler kernels
Advances in Difference Equations, 2018 Fractional derivatives with three parameter generalized Mittag-Leffler kernels and their properties are studied. The corresponding integral operators are obtained with the help of Laplace transforms.
Thabet Abdeljawad, Dumitru Baleanu
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On Delta and Nabla Caputo Fractional Differences and Dual Identities
Discrete Dynamics in Nature and Society, 2013 We investigate two types of dual identities for Caputo fractional differences. The first type relates nabla and delta type fractional sums and differences.
Thabet Abdeljawad
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Axioms, 2020 The questions of the one-value solvability of an inverse boundary value problem for a mixed type integro-differential equation with Caputo operators of different fractional orders and spectral parameters are considered.
Tursun K. Yuldashev, Erkinjon T. Karimov
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Review: tunable nanophotonic metastructures
Nanophotonics, 2023 Tunable nanophotonic metastructures offer new capabilities in computing, networking, and imaging by providing reconfigurability in computer interconnect topologies, new optical information processing capabilities, optical network switching, and image ...
Ling Yi-Chun, Yoo Sung Joo Ben
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