Results 51 to 60 of about 42,388 (275)

Gauge Invariant Fractional Electromagnetic Fields

, 2011
Fractional derivatives and integrations of non-integers orders was introduced more than three centuries ago but only recently gained more attention due to its application on nonlocal phenomenas.
Agrawal, Agrawal, Baleanu, Baleanu, Bauer, Belleguie, Brandt, Caputo, Caputo, Cresson, Cresson, Dreisigmeyer, Engheta, Genchev, Goldfain, Herrmann, Iomin, Ketov, Kilbas, Kusnezov, Laskin, Laskin, Lim, Magin, Mashhoon, Matheus Jatkoske Lazo, Metzler, Metzler, Munkhammar, Muslih, Naber, Naqvi, Oldham, Podlubny, Raspini, Riewe, Tarasov, Tarasov, West, Zhang, Závada   +40 more
core   +1 more source

A comparative study of fractional order PIλ /PIλ Dμ tuning rules for stable first order plus time delay processes [PDF]

, 2016
Conventional PID tuning methods may not be sufficient to deal with complex processes of modern industry. For better control, fractional order PIλDµ controller was introduced as the generalization of classical PID controller with the help of non-integer ...
Dipesh Shikchand Patle, Ranganayakulu, R., Seshagiri Rao, A., Uday Bhaskar Babu, G.   +3 more
core   +2 more sources

Fractional Calculus of the Generalized Mittag-Leffler Type Function [PDF]

International Scholarly Research Notices, 2014
We introduce and study a new function called R-function, which is an extension of the generalized Mittag-Leffler function. We derive the relations that exist between the R-function and Saigo fractional calculus operators. Some results derived by Samko et al. (1993), Kilbas (2005), Kilbas and Saigo (1995), and Sharma and Jain (2009) are special cases of
Dinesh Kumar, Sunil Kumar
openaire   +2 more sources

Fractional uncertain differential equations with general memory effects: Existences and alpha-path solutions

Nonlinear Analysis, 2022
General fractional calculus is popular recently. Fractional uncertain differential equations (FUDEs) with general memory effects are proposed in this paper.
Cheng Luo, Guo-Cheng Wu, Lan-Lan Huang
doaj   +1 more source

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 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

An upstream open reading frame regulates expression of the mitochondrial protein Slm35 and mitophagy flux

FEBS Letters, EarlyView.
This study reveals how the mitochondrial protein Slm35 is regulated in Saccharomyces cerevisiae. The authors identify stress‐responsive DNA elements and two upstream open reading frames (uORFs) in the 5′ untranslated region of SLM35. One uORF restricts translation, and its mutation increases Slm35 protein levels and mitophagy.
Hernán Romo‐Casanueva, Ariann E. Mendoza‐Martínez, P. Abril Medina‐Flores, Carlos Campero‐Basaldua, Alexander DeLuna, Soledad Funes   +5 more
wiley   +1 more source

On certain fractional calculus operators involving generalized Mittag-Leffler function [PDF]

Sahand Communications in Mathematical Analysis, 2016
The object of this paper is to establish certain generalized fractional integration and differentiation involving generalized Mittag-Leffler function defined by Salim and Faraj [25].
Dinesh Kumar
doaj  

An Alternative Method for Solving a Certain Class of Fractional Kinetic Equations

, 2010
An alternative method for solving the fractional kinetic equations solved earlier by Haubold and Mathai (2000) and Saxena et al. (2002, 2004a, 2004b) is recently given by Saxena and Kalla (2007).
A Saichev, A Wiman, AM Mathai, BN Al-Saqabi, G.M. Mittag-Leffler, GM Zaslavsky, HJ Haubold, I Podlubny, KB Oldham, KS Miller, MM Dzherbashyan, MM Dzherbashyan, R Hilfer, RK Saxena, RK Saxena, RK Saxena, RK Saxena, RK Saxena, RK Saxena, RK Saxena, RK Saxena, TF Nonnenmacher, WG Gloeckle   +22 more
core   +1 more source

Sequence determinants of RNA G‐quadruplex unfolding by Arg‐rich regions

FEBS Letters, EarlyView.
We show that Arg‐rich peptides selectively unfold RNA G‐quadruplexes, but not RNA stem‐loops or DNA/RNA duplexes. This length‐dependent activity is inhibited by acidic residues and is conserved among SR and SR‐related proteins (SRSF1, SRSF3, SRSF9, U1‐70K, and U2AF1).
Naiduwadura Ivon Upekala De Silva, Puspa Kunwar, Md Ibnul Rifat Rahman, Joanna Koryo Kwao, Nathan Lehman, Zihan Zhang, Trenton Paul, Claire Cheng, Nicholas Truex, Hui‐Ting Lee, Jun Zhang   +10 more
wiley   +1 more source