Results 61 to 70 of about 49,276 (273)

Local fractional Newton’s inequalities involving generalized harmonic convex functions

Advances in Difference Equations, 2020
A new auxiliary result based on a three step quadratic kernel utilizing the concepts of local fractional calculus is obtained. Using this new auxiliary result we have several new Newton type inequalities whose power q of local fractional derivative in ...
Sabah Iftikhar, Samet Erden, Poom Kumam, Muhammad Uzair Awan   +3 more
doaj   +1 more source

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

The (Glg)ABCs of cyanobacteria: modelling of glycogen synthesis and functional divergence of glycogen synthases in Synechocystis sp. PCC 6803

FEBS Letters, EarlyView.
We reconstituted Synechocystis glycogen synthesis in vitro from purified enzymes and showed that two GlgA isoenzymes produce glycogen with different architectures: GlgA1 yields denser, highly branched glycogen, whereas GlgA2 synthesizes longer, less‐branched chains.
Kenric Lee, Dimitrios Bekiari, Sofia Doello, Karl Forchhammer   +3 more
wiley   +1 more source

Fractional thermal diffusion and the heat equation

Open Physics, 2015
Fractional calculus is the branch of mathematical analysis that deals with operators interpreted as derivatives and integrals of non-integer order. This mathematical representation is used in the description of non-local behaviors and anomalous complex ...
Gómez Francisco, Morales Luis, González Mario, Alvarado Victor, López Guadalupe   +4 more
doaj   +1 more source

Dynamics of Fractal Solids

, 2005
We describe the fractal solid by a special continuous medium model. We propose to describe the fractal solid by a fractional continuous model, where all characteristics and fields are defined everywhere in the volume but they follow some generalized ...
Christensen R. M., Miller K. S., Oldham K. B., Samko S. G., Tarasov V. E., Tarasov V. E., VASILY E. TARASOV, Zaslavsky G. M.   +7 more
core   +2 more sources

A Local Fractional Integral Inequality on Fractal Space Analogous to Anderson’s Inequality [PDF]

Abstract and Applied Analysis, 2014
Anderson's inequality (Anderson, 1958) as well as its improved version given by Fink (2003) is known to provide interesting examples of integral inequalities. In this paper, we establish local fractional integral analogue of Anderson's inequality on fractal space under some suitable conditions.
Wei, Wei, Srivastava, H. M., Zhang, Yunyi, Wang, Lei, Shen, Peiyi, Zhang, Jing   +5 more
openaire   +4 more sources

Structural biology of ferritin nanocages

FEBS Letters, EarlyView.
Ferritin is a conserved iron‐storage protein that sequesters iron as a ferric mineral core within a nanocage, protecting cells from oxidative damage and maintaining iron homeostasis. This review discusses ferritin biology, structure, and function, and highlights recent cryo‐EM studies revealing mechanisms of ferritinophagy, cellular iron uptake, and ...
Eloise Mastrangelo, Flavio Di Pisa
wiley   +1 more source

On local fractional integral inequalities via generalized (h˜1,h˜2)\left({\tilde{h}}_{1},{\tilde{h}}_{2})-preinvexity involving local fractional integral operators with Mittag-Leffler kernel

Demonstratio Mathematica, 2023
Local fractional integral inequalities of Hermite-Hadamard type involving local fractional integral operators with Mittag-Leffler kernel have been previously studied for generalized convexities and preinvexities.
Vivas-Cortez Miguel, Bibi Maria, Muddassar Muhammad, Al-Sa’di Sa’ud   +3 more
doaj   +1 more source

Fractional Liouville and BBGKI Equations

, 2006
We consider the fractional generalizations of Liouville equation. The normalization condition, phase volume, and average values are generalized for fractional case.The interpretation of fractional analog of phase space as a space with fractal dimension ...
Bogoliubov N N, Bogolybow N, Born M, Christensen R M, Collins J C, Forster D, Gurov K P, Isihara A, Kornfeld I P, Mandelbrot B, Petrina D Ya, Resibois P, Samko S G, Samko S G, Schroeder M, Tarasov V E, Tarasov V E, Tarasov V E, Tarasov V E, Vasily E Tarasov, Zaslavsky G M, Zaslavsky G M   +21 more
core   +1 more source

Calpain small subunit homodimerization is robust and calcium‐independent

FEBS Letters, EarlyView.
Calpains dimerize via penta‐EF‐hand (PEF) domains. Using single‐molecule force spectroscopy, we measured the strength and kinetics of PEF–PEF homodimer binding. The interaction is robust, shows a transient conformational step before dissociation, and remains largely insensitive to Ca2+.
Nesha May O. Andoy, Trina Dykstra‐MacPherson, Mathias A. Bell, Peter L. Davies, Ruby May A. Sullan   +4 more
wiley   +1 more source