Results 41 to 50 of about 1,550,178 (378)

Fractional Systems and Fractional Bogoliubov Hierarchy Equations

, 2005
We consider the fractional generalizations of the phase volume, volume element and Poisson brackets. These generalizations lead us to the fractional analog of the phase space.
A. A. Vlasov, A. Isihara, B. A. Dubrovin, B. Mandelbrot, D. Ya. Petrina, I. P. Kornfeld, J. C. Collins, K. P. Gurov, M. Schroeder, N. Bogolybow, N. N. Bogoliubov, N. N. Bogoliubov, N. N. Bogoliubov, P. Debye, S. G. Samko, T. F. Nonnenmacher, V. E. Tarasov, V. E. Tarasov, V. E. Tarasov, Vasily E. Tarasov   +19 more
core   +1 more source

Generalized fractional derivatives and Laplace transform

Discrete and Continuous Dynamical Systems. Series A, 2020
In this article, we study generalized fractional derivatives that contain kernels depending on a function on the space of absolute continuous functions.
F. Jarad, T. Abdeljawad
semanticscholar   +1 more source

fPINNs: Fractional Physics-Informed Neural Networks [PDF]

SIAM Journal on Scientific Computing, 2018
Physics-informed neural networks (PINNs) are effective in solving integer-order partial differential equations (PDEs) based on scattered and noisy data. PINNs employ standard feedforward neural networks (NNs) with the PDEs explicitly encoded into the NN ...
G. Pang, Lu Lu, G. Karniadakis
semanticscholar   +1 more source

A Review on Fractional-Order Modelling and Control of Robotic Manipulators

Fractal and Fractional, 2023
Robot manipulators are widely used in many fields and play a vital role in the assembly, maintenance, and servicing of future complex in-orbit infrastructures.
Kishore Bingi, Rajanarayan Prusty, A. Singh   +2 more
semanticscholar   +1 more source

Some q-Fractional Estimates of Trapezoid like Inequalities Involving Raina’s Function

Fractal and Fractional, 2022
In this paper, we derive two new identities involving q-Riemann-Liouville fractional integrals. Using these identities, as auxiliary results, we derive some new q-fractional estimates of trapezoidal-like inequalities, essentially using the class of ...
Kamsing Nonlaopon, Muhammad Uzair Awan, Muhammad Zakria Javed, Hüseyin Budak, Muhammad Aslam Noor   +4 more
doaj   +1 more source

Fractional Curve Flows and Solitonic Hierarchies in Gravity and Geometric Mechanics

, 2011
Methods from the geometry of nonholonomic manifolds and Lagrange-Finsler spaces are applied in fractional calculus with Caputo derivatives and for elaborating models of fractional gravity and fractional Lagrange mechanics.
Dumitru Baleanu, Gorenflo R., Kilbas A. A., Sergiu I. Vacaru   +3 more
core   +1 more source

Indicator fractional stable motions [PDF]

, 2011
Using the framework of random walks in random scenery, Cohen and Samorodnitsky (2006) introduced a family of symmetric $\alpha$-stable motions called local time fractional stable motions. When $\alpha=2$, these processes are precisely fractional Brownian
Jung, Paul
core   +1 more source

Fractionation statistics [PDF]

BMC Bioinformatics, 2011
Abstract Background Paralog reduction, the loss of duplicate genes after whole genome duplication (WGD) is a pervasive process. Whether this loss proceeds gene by gene or through deletion of multi-gene DNA segments is controversial, as is the question of fractionation bias, namely whether one homeologous chromosome is
Zheng Chunfang, Wang Baoyong, Sankoff David   +2 more
openaire   +3 more sources

Variable Doppler Starting Point Keystone Transform for Radar Maneuvering Target Detection

Remote Sensing
The Doppler band compensated by the keystone transform (KT) is limited. Therefore, it needs to be used in conjunction with the Doppler ambiguity compensation function to correct the range migration (RM) caused by maneuvering targets with Doppler ...
Wei Jia, Yuan Feng, Xingshuai Qiao, Tianrun Wang, Tao Shan   +4 more
doaj   +1 more source

Positivity of fractional descriptor linear continuous-time systems [PDF]

Bulletin of the Polish Academy of Sciences: Technical Sciences, 2019
The positivity of fractional descriptor linear continuous-time systems is investigated. The solution to the state equation of the systems is derived. Necessary and sufficient conditions for the positivity of fractional descriptor linear continuous-time ...
T. Kaczorek
doaj   +1 more source