Results 41 to 50 of about 187,262 (303)

Numerical solutions of fractional optimal control with Caputo–Katugampola derivative

Advances in Difference Equations, 2021
In this paper, we present a numerical technique for solving fractional optimal control problems with a fractional derivative called Caputo–Katugampola derivative. This derivative is a generalization of the Caputo fractional derivative.
N. H. Sweilam, A. M. Nagy, T. M. Al-Ajami   +2 more
doaj   +1 more source

Electrical Circuits Described by General Fractional Conformable Derivative

Frontiers in Energy Research, 2022
The general fractional conformable derivative (GCD) and its attributes have been described by researchers in the recent times. Compared with other fractional derivative definitions, this derivative presents a generalization of the conformable derivative ...
Omar Kahouli, Omar Kahouli, Mourad Elloumi, Mourad Elloumi, Omar Naifar, Omar Naifar, Haitham Alsaif, Bassem Kahouli, Yassine Bouteraa   +8 more
doaj   +1 more source

Fractal Derivatives, Fractional Derivatives and q-Deformed Calculus

Entropy, 2023
This work presents an analysis of fractional derivatives and fractal derivatives, discussing their differences and similarities. The fractal derivative is closely connected to Haussdorff’s concepts of fractional dimension geometry.
Airton Deppman, Eugenio Megías, Roman Pasechnik   +2 more
doaj   +1 more source

Time-Delay and Fractional Derivatives [PDF]

Advances in Difference Equations, 2011
This paper proposes the calculation of fractional algorithms based on time-delay systems. The study starts by analyzing the memory properties of fractional operators and their relation with time delay. Based on the Fourier analysis an approximation of fractional derivatives through time-delayed samples is developed.
openaire   +5 more sources

A new truncated $M$-fractional derivative type unifying some fractional derivative types with classical properties [PDF]

, 2017
We introduce a truncated $M$-fractional derivative type for $\alpha$-differentiable functions that generalizes four other fractional derivatives types recently introduced by Khalil et al., Katugampola and Sousa et al., the so-called conformable ...
de Oliveira, E. Capelas, Sousa, J. Vanterler da C.   +1 more
core   +3 more sources

Fractional Cauchy problems on bounded domains: survey of recent results

, 2010
In a fractional Cauchy problem, the usual first order time derivative is replaced by a fractional derivative. This problem was first considered by \citet{nigmatullin}, and \citet{zaslavsky} in $\mathbb R^d$ for modeling some physical phenomena.
A Einstein, AN Kochubei, AN Kochubei, AN Kochubei, AN Kochubei, B Baeumer, G Zaslavsky, Gilbarg D, Trudinger NS (2001) Elliptic partial differential equations of second order. Reprint of the, HL Royden, I Podlubny, J Bertoin, K Miller, KI Sato, M Caputo, M Naber, MM Meerschaert, MM Meerschaert, MM Meerschaert, MM Meerschaert, MM Meerschaert, MM Meerschaert, OP Agrawal, R Gorenflo, R Gorenflo, R Metzler, RF Bass, RR Nigmatullin, S Samko, W Arendt, WR Schneider   +29 more
core   +1 more source

The dual nature of TDC – bridging dendritic and T cells in immunity

FEBS Letters, EarlyView.
TDC are hematopoietic cells combining dendritic and T cell features. They reach secondary lymphoid organs (SLOs) and peripheral organs (liver and lungs) after FLT3‐dependent development in the bone marrow and maturation in the thymus. TDC are activated and enriched in SLOs upon viral infection, suggesting that they might play unique immune roles, since
Maria Nelli, Mirela Kuka
wiley   +1 more source

A new Riemann–Liouville type fractional derivative operator and its application in generating functions

Advances in Difference Equations, 2018
Here, the concept of a new and interesting Riemann–Liouville type fractional derivative operator is exploited. Treatment of a fractional derivative operator has been made associated with the extended Appell hypergeometric functions of two variables and ...
M. Shadab, M. Faisal Khan, J. Luis Lopez-Bonilla   +2 more
doaj   +1 more source

Fractional Derivative Regularization in QFT [PDF]

Advances in High Energy Physics, 2018
We propose in this paper a new regularization, where integer-order differential operators are replaced by fractional-order operators. Regularization for quantum field theories based on application of the Riesz fractional derivatives of noninteger orders is suggested.
openaire   +3 more sources

A Note on Fractional Order Derivatives and Table of Fractional Derivatives of Some Special Functions [PDF]

Abstract and Applied Analysis, 2013
The purpose of this note is to present the different fractional order derivatives definition that are commonly used in the literature on one hand and to present a table of fractional order derivatives of some functions in Riemann-Liouville sense On other the hand. We present some advantages and disadvantages of these fractional derivatives. And finally
Abdon Atangana, Aydin Secer
openaire   +4 more sources