Results 71 to 80 of about 239,946 (299)

Fractional Definite Integral [PDF]

Fractal and Fractional, 2017
This paper proposes the definition of fractional definite integral and analyses the corresponding fundamental theorem of fractional calculus. In this context, we studied the relevant properties of the fractional derivatives that lead to such a definition. Finally, integrals on R2 R 2 and R3 R 3 are also proposed.
Manuel Ortigueira, José Machado
openaire   +2 more sources

The newfound relationship between extrachromosomal DNAs and excised signal circles

FEBS Letters, EarlyView.
Extrachromosomal DNAs (ecDNAs) contribute to the progression of many human cancers. In addition, circular DNA by‐products of V(D)J recombination, excised signal circles (ESCs), have roles in cancer progression but have largely been overlooked. In this Review, we explore the roles of ecDNAs and ESCs in cancer development, and highlight why these ...
Dylan Casey, Zeqian Gao, Joan Boyes
wiley   +1 more source

Tourism persistence in Asean countries: The impact of Covid-19

Tourism and Hospitality Management
Purpose – This study deals with the COVID-19’s effects on the travel sector in ASEAN countries and applies fractional integration methods. Methodology/Design/Approach – The persistence and seasonality of foreign tourist visitors in ASEAN members is ...
Amir IMmeri, Luis Alberiko Gil-Alana
doaj   +1 more source

An Integral Equation Involving Legendre Functions [PDF]

, 1964
Rodrigues’s formula can be applied also to (1.1) and (1.3) but here the situation is slightly more involved in that the integrals with respect to σ^2 are of fractional order and their inversion requires the knowledge of differentiation and integration of
Erdélyi, A.
core   +1 more source

Elements of fractional calculus. Fractional integrals

Bulletin of Taras Shevchenko National University of Kyiv. Series: Physics and Mathematics, 2022
The paper is devoted to the basic properties of fractional integrals. It is a survey of the well-known properties of fractional integrals, however, the authors tried to present the known information about fractional integrals as short and transparently as possible. We introduce fractional integrals on the compact interval and on the semi-axes, consider
Yuliya Mishura, Olha Hopkalo, Hanna Zhelezniak   +2 more
openaire   +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

In situ molecular organization and heterogeneity of the Legionella Dot/Icm T4SS

FEBS Letters, EarlyView.
We present a nearly complete in situ model of the Legionella Dot/Icm type IV secretion system, revealing its central secretion channel and identifying new components. Using cryo‐electron tomography with AI‐based modeling, our work highlights the structure, variability, and mechanism of this complex nanomachine, advancing understanding of bacterial ...
Przemysław Dutka, Yuxi Liu, Stefano Maggi, Debnath Ghosal, Jue Wang, Prashant P. Damke, Stephen D. Carter, Wei Zhao, Sukhithasri Vijayrajratnam, Joseph P. Vogel, Carrie L. Shaffer, Grant J. Jensen   +11 more
wiley   +1 more source

A new approach to detect long memory by fractional integration or short memory by structural break

AIMS Mathematics
Long memory in test statistics can either originate from fractional integration or be spuriously induced by a short memory process with a structural break.
Yirong Huang, Liang Ding, Yan Lin , Yi Luo   +3 more
doaj   +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

Exponential Time Trends in a Fractional Integration Model

Econometrics
This paper introduces a new modelling approach that incorporates nonlinear, exponential deterministic terms into a fractional integration framework. The proposed model is based on a specific test on fractional integration that is more general than the ...
Guglielmo Maria Caporale, Luis Alberiko Gil-Alana   +1 more
doaj   +1 more source