Results 31 to 40 of about 234,622 (320)

Hardy's Inequality for the fractional powers of Grushin operator

, 2016
We prove Hardy's inequality for the fractional powers of the generalized sublaplacian and the fractional powers of the Grushin operator. We also find an integral representation and a ground state representation for the fractional powers of generalized ...
Boris-Marko Kukovec (2131279), Clive L. Oliver (1974418), Gerhard A. Venter (2131276)   +2 more
core   +6 more sources

Towards an Efficient Finite Element Method for the Integral Fractional Laplacian on Polygonal Domains

, 2017
We explore the connection between fractional order partial differential equations in two or more spatial dimensions with boundary integral operators to develop techniques that enable one to efficiently tackle the integral fractional Laplacian.
AA Golovin, AH Stroud, Alexandre Ern, BJ West, IG Graham, IH Sloan, IH Sloan, Krzysztof Bogdan, L Caffarelli, LR Scott, M D’Elia, Mark Ainsworth, Mark Ainsworth, MG Duffy, MM Meerschaert, P Ciarlet, Raffaella Servadei, RH Nochetto, RK Getoor, S Erichsen, SA Silling, Stefan A. Sauter, T Koto, W Hackbusch, WCH McLean, Y Yan, ZQ Chen   +26 more
core   +1 more source

Results on integral inequalities for a generalized fractional integral operator unifying two existing fractional integral operators

Nonlinear Analysis
The main aim of this article is to design a novel framework to study a generalized fractional integral operator that unifies two existing fractional integral operators.
Supriya Kumar Paul, Lakshmi Narayan Mishra, Vishnu Narayan Mishra   +2 more
doaj   +1 more source

Generalized proportional fractional integral functional bounds in Minkowski’s inequalities

Advances in Difference Equations, 2021
In this research paper, we improve some fractional integral inequalities of Minkowski-type. Precisely, we use a proportional fractional integral operator with respect to another strictly increasing continuous function ψ.
Tariq A. Aljaaidi, Deepak B. Pachpatte, Wasfi Shatanawi, Mohammed S. Abdo, Kamaleldin Abodayeh   +4 more
doaj   +1 more source

Fractional Hamiltonian analysis of higher order derivatives systems

, 2006
The fractional Hamiltonian analysis of 1+1 dimensional field theory is investigated and the fractional Ostrogradski's formulation is obtained. The fractional path integral of both simple harmonic oscillator with an acceleration-squares part and a damped ...
Baleanu D., Dumitru Baleanu, Gelfand I. M., Hardy G. H., Kenan Taş, Mainardi F., Miller K. S., Muslih S. I., Oldham K. B., Podlubny I., Sami I. Muslih, Samko S. G., Tenreiro Machado J. A., Tenreiro Machado J. A., Zaslavsky G.   +14 more
core   +1 more source

Certain new proportional and Hadamard proportional fractional integral inequalities

Journal of Inequalities and Applications, 2021
The main goal of this paper is estimating certain new fractional integral inequalities for the extended Chebyshev functional in the sense of synchronous functions by employing proportional fractional integral (PFI) and Hadamard proportional fractional ...
Gauhar Rahman, Kottakkaran Sooppy Nisar, Thabet Abdeljawad   +2 more
doaj   +1 more source

Fractional Quantum Mechanics

, 2008
A path integral approach to quantum physics has been developed. Fractional path integrals over the paths of the L\'evy flights are defined. It is shown that if the fractality of the Brownian trajectories leads to standard quantum and statistical ...
A. I. Saichev, B. B. Mandelbrot, B. J. West, B. J. West, C. Fox, C. W. Gardiner, G. M. Zaslavsky, G. Zimbardo, H. Kleinert, J. Feder, J. Klafter, K. B. Oldham, N. Laskin, N. Wiener, Nick Laskin, R. N. Mantega, R. P. Feynman, R. P. Feynman, V. Heisenberg   +18 more
core   +1 more source

A Cre‐dependent lentiviral vector for neuron subtype‐specific expression of large proteins

FEBS Letters, EarlyView.
We designed a versatile and modular lentivector comprising a Cre‐dependent switch and self‐cleaving 2A peptide and tested it for co‐expression of GFP and a 2.8 kb gene of interest (GOI) in mouse cortical parvalbumin (PV+) interneurons and midbrain dopamine (TH+) neurons.
Weixuan Xue, Sandrine Picaud, Régine Hepp, Stéphanie Pons, Uwe Maskos, Bertrand Lambolez, Ludovic Tricoire   +6 more
wiley   +1 more source

Fractional Generalization of Kac Integral

, 2007
Generalization of the Kac integral and Kac method for paths measure based on the Levy distribution has been used to derive fractional diffusion equation.
Chaichian, Chernoff, Chernoff, Daleckij, Daleckij, Daletskii, Feynman, Fox, George M. Zaslavsky, Glockle, Gross, Gross, Jarvis, Kac, Kac, Kac, Kilbas, Laskin, Laskin, Laskin, Laskin, Le Gall, Le Gall, Lévy, Marsden, Maslov, Mathai, Milovanov, Moral, Oldham, Peres, Pitaevskii, Pitaevskii, Podlubny, Samko, Sato, Sevast’yanov, Srivastava, Tarasov, Vasily E. Tarasov, Vernon, Weitzner, West   +42 more
core   +2 more sources

Phosphatidylinositol 4‐kinase as a target of pathogens—friend or foe?

FEBS Letters, EarlyView.
This graphical summary illustrates the roles of phosphatidylinositol 4‐kinases (PI4Ks). PI4Ks regulate key cellular processes and can be hijacked by pathogens, such as viruses, bacteria and parasites, to support their intracellular replication. Their dual role as essential host enzymes and pathogen cofactors makes them promising drug targets.
Ana C. Mendes, Guilherme M. Azevedo, Amanda P. Barcellos, Diana Bahia   +3 more
wiley   +1 more source