Results 61 to 70 of about 317,311 (293)

Holder exponents of irregular signals and local fractional derivatives

, 1997
It has been recognized recently that fractional calculus is useful for handling scaling structures and processes. We begin this survey by pointing out the relevance of the subject to physical situations.
A Arneodo, A B Chhabra, A Juneja, A Ott, A S Besicovitch, A Zygmund, Anil D Gangal, B B Mandelbrot, B B Mandelbrot, B B Mandelbrot, B Ross, C Meneveau, E M Stein, E M Stein, G H Hardy, G H Hardy, G Jumarie, G M Zaslavsky, G V Welland, H C Fogedby, H E Roman, I Daubechies, I Eyink, J D Farmer, J F Muzy, J Feder, J Gerver, J J Duistermaat, J L Kaplan, J P Bouchaud, K B Oldham, K Falconer, K L Sebastian, K M Kolwankar, K S Miller, K Sarkar, Kiran M Kolwankar, L F Abott, M F Schlesinger, M F Shlesinger, M F Shlesinger, M F Shlesinger, M Giona, M H Jensen, M Holschneider, M Holschneider, M V Berry, M Zähle, N Patzschke, P Collet, P Constantin, P Constantin, R Benzi, R Benzi, R Cawley, R D Mauldin, R Hilfer, R Hilfer, R P Feynmann, R Riedi, S Jaffard, T C Halsey, T H Solomon, T J Osler, T Vicsek, T W Körner, U Frisch, W G Glöckle, W R Schneider, W Wyss   +69 more
core   +2 more sources

Temporal and Cell‐Specific Regulation of Synaptic Homeostasis by the Chromatin Remodeler Chd1

Advanced Science, EarlyView.
Chd1, the Drosophila homologue of mammalian CHD2 ‐ a gene linked to autism, epilepsy, and intellectual disability, is required for synaptic homeostatic plasticity. Chd1 in glia is necessary for the rapid induction of synaptic homeostasis, whereas Chd1 in motoneurons, muscle, and glia is critical for long‐term maintenance.
Danielle T. Morency, Tao Cui, Yimei Cai, Chloe Lok, Rachel E. Nokku, Ruoxian Huang, Grace L. Chu, Yumeng Xie, Saleem W. Abu‐Tayeh, Kaikai He, Chengjie Qiu, Junyi Wang, Paxton M. Paganelli, Ting Wang, Gabrielle Williams, Sreejith Nair, Huadong Pei, Dion K. Dickman, Stefano Vicini, Tingting Wang   +19 more
wiley   +1 more source

On the Rigorous Correspondence Between Operator Fractional Powers and Fractional Derivatives via the Sonine Kernel

Fractal and Fractional
Traditional operational calculus, while intuitive and effective in addressing problems in physical fractal spaces, often lacks the rigorous mathematical foundation needed for fractional operations, sometimes resulting in inconsistent outcomes. To address
Zelin Liu, Xiaobin Yu, Yajun Yin
doaj   +1 more source

Fractal Weyl laws for asymptotically hyperbolic manifolds

, 2013
For asymptotically hyperbolic manifolds with hyperbolic trapped sets we prove a fractal upper bound on the number of resonances near the essential spectrum, with power determined by the dimension of the trapped set. This covers the case of general convex
Datchev, Kiril, Dyatlov, Semyon
core   +2 more sources

Time‐Resolved SAXS Reveals Distinct Millisecond Metal‐Induced Conformational Dynamics of Monomeric α‐Synuclein

Advanced Science, EarlyView.
Time‐resolved SAXS reveals how physiologically relevant metal ions shape the earliest conformational responses of monomeric α‐synuclein. Fe3+ induces rapid compaction, Cu2+ generates heterogeneous and partially folded ensembles, while Mn2+ and Zn2+ cause only modest changes.
Rebecca Sternke‐Hoffmann, Miriam Dos Santos Pinto, Xue Wang, Jinghui Luo   +3 more
wiley   +1 more source

Fractional Dynamics from Einstein Gravity, General Solutions, and Black Holes

, 2010
We study the fractional gravity for spacetimes with non-integer dimensions. Our constructions are based on a geometric formalism with the fractional Caputo derivative and integral calculus adapted to nonolonomic distributions.
A. Carpinteri, A. El-Nabulsi, A. El-Naulsi, A. Raspini, A.A. Kilbas, B. Ross, B.A. Carreras, D. Baleanu, D. Baleanu, D. Baleanu, D. Baleanu, D. Baleanu, F. Riewe, F.-Y. Ren, G.M. Zaslavsky, G.M. Zaslavsky, I. Podlubny, K. Nishimoto, K.B. Oldham, M. Naber, N. Laskin, N. Laskin, P. Zavada, S. Muslich, S. Vacaru, S. Vacaru, S. Vacaru, S. Vacaru, S. Vacaru, S. Vacaru, S. Vacaru, S. Vacaru, S. Vacaru, S. Vacaru, S. Vacaru, S. Vacaru, S. Vacaru, S. Vacaru, S. Vacaru, S. Vacaru, S. Vacaru, S. Vacaru, S. Vacaru, Sergiu I. Vacaru, V.E. Tarasov, V.E. Tarasov, V.E. Tarasov, V.E. Tarasov, V.E. Tarasov, V.E. Tarasov   +49 more
core   +1 more source

Direct Growth of Transparent Boron Nitride Neutron Shielding Layer for Space Window

Advanced Science, EarlyView.
Direct growth of sp2‐sp3 hybridized BN (HBN) on quartz, enabled by an h‐BN buffer, produces transparent and stable films up to 80 µm thick with high transmittance and strong neutron shielding, making HBN a promising candidate for space windows in long‐term lunar missions.
Dobin Kim, Geunpil Kim, Hwijoon Jeong, Sk Mujaffar Hossain, Satadeep Bhattacharjee, Minjae Isaac Kwon, Yeunjeong Lee, Chanhee Yang, Yeong Seok Ham, Taek‐Soo Kim, Hyowon Moon, Inkyu Park, Seung‐Cheol Lee, Jinhwan Kim, Jongbum Kim, Jaehyun Park   +15 more
wiley   +1 more source

Fractal and Entropy Analysis of the Dow Jones Index Using Multidimensional Scaling

Entropy, 2020
Financial time series have a fractal nature that poses challenges for their dynamical characterization. The Dow Jones Industrial Average (DJIA) is one of the most influential financial indices, and due to its importance, it is adopted as a test bed for ...
José A. Tenreiro Machado
doaj   +1 more source

Physical Origin of Temperature Induced Activation Energy Switching in Electrically Conductive Cement

Advanced Science, EarlyView.
The temperature‐induced Arrhenius activation energy switching phenomenon of electrical conduction in electrically conductive cement originates from structural degradation within the biphasic ionic‐electronic conduction architecture and shows percolation‐governed characteristics: pore network opening dominates the low‐percolation regime with downward ...
Jiacheng Zhang, Xinyuan Ke, Andrew Heath, Richard J. Ball, Jiawei Xie, Jinchen Fan, Guisheng Li, Kevin Paine   +7 more
wiley   +1 more source

Studies in fractal–fractional operators with examples

Examples and Counterexamples
By using the generalization of the gamma function (p-gamma function: Γp(.)), we introduce a generalization of the fractal–fractional calculus which is called p-fractal fractional calculus.
Rabha W. Ibrahim
doaj   +1 more source