Results 71 to 80 of about 611,053 (243)

Fractional Calculus in Mexico: The 5th Mexican Workshop on Fractional Calculus (MWFC)

Computer Sciences & Mathematics Forum, 2023
The Mexican Workshop on Fractional Calculus (MWFC) is a bi-annual international workshop and the largest Latin American technical event in the field of fractional calculus in Mexico [...]
Jorge M. Cruz-Duarte, Porfirio Toledo-Hernández   +1 more
doaj   +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

Fractional Calculus and Shannon Wavelet [PDF]

Mathematical Problems in Engineering, 2012
An explicit analytical formula for the any order fractional derivative of Shannon wavelet is given as wavelet series based on connection coefficients. So that for any L2(ℝ) function, reconstructed by Shannon wavelets, we can easily define its fractional derivative.
openaire   +3 more sources

Application of Fractional Calculus in Engineering [PDF]

, 2011
Fractional Calculus (FC) goes back to the beginning of the theory of differential calculus. Nevertheless, the application of FC just emerged in the last two decades. It has been recognized the advantageous use of this mathematical tool in the modelling and control of many dynamical systems.
Machado, J. A. Tenreiro, Jesus, Isabel S., Barbosa, Ramiro S., Silva, Manuel F., Reis, Cecília   +4 more
openaire   +4 more sources

Fractional Order Sequential Minimal Optimization Classification Method

Fractal and Fractional, 2023
Sequential minimal optimization (SMO) method is an algorithm for solving optimization problems arising from the training process of support vector machines (SVM).
Chunna Zhao, Licai Dai, Yaqun Huang
doaj   +1 more source

Kipriyanov's Fractional Calculus Prehistory and Legacy [PDF]

arXiv, 2023
This paper is partly a historical survey of various approaches and methods in the fractional calculus, partly a description of the Kipriyanov extraordinary theory in comparison with the classical one. The significance and outstanding methods in constructing the independent Kipriyanov fractional calculus theory are convexly stressed, also we represent ...
arxiv  

Basics of Qualitative Theory of Linear Fractional Difference Equations [PDF]

, 2012
Tato doktorská práce se zabývá zlomkovým kalkulem na diskrétních množinách, přesněji v rámci takzvaného (q,h)-kalkulu a jeho speciálního případu h-kalkulu.
Kisela, Tomáš
core  

Fractional Ito calculus

Transactions of the American Mathematical Society, Series B
We derive Itô–type change of variable formulas for smooth functionals of irregular paths with nonzero p p th variation along a sequence of partitions, where p ≥ 1 p \geq 1 is arbitrary, in terms of fractional derivative operators.
Cont, R, Jin, R
openaire   +2 more sources

Fractional Calculus in Wave Propagation Problems [PDF]

, 2012
Fractional calculus, in allowing integrals and derivatives of any positive order (the term "fractional" kept only for historical reasons), can be considered a branch of mathematical physics which mainly deals with integro-differential equations, where ...
Mainardi, Francesco
core  

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