Results 71 to 80 of about 354,882 (289)

Fractional characteristic functions, and a fractional calculus approach for moments of random variables [PDF]

, 2022
In this paper we introduce a fractional variant of the characteristic function of a random variable. It exists on the whole real line, and is uniformly continuous.
Gerhold, Stefan; orcid:, Metzler, Ralf; orcid:, Tomovski, Živorad   +2 more
core   +1 more source

Certain New Class of Analytic Functions Defined by Using a Fractional Derivative and Mittag-Leffler Functions

Axioms, 2022
Fractional calculus has a number of applications in the field of science, specially in mathematics. In this paper, we discuss some applications of fractional differential operators in the field of geometric function theory.
Mohammad Faisal Khan, Shahid Khan, Saqib Hussain, Maslina Darus, Khaled Matarneh   +4 more
doaj   +1 more source

Translophagy—A potential link between autophagy impairment and translational errors

FEBS Letters, EarlyView.
Neurodegenerative diseases are characterised by the accumulation of abnormal proteins and protein aggregates, but their origin often remains unknown. We propose that selective autophagy removes damaged protein‐making machinery, preventing errors during protein synthesis.
Mykola V. Korolchuk, Gailing Ma, Robin Antrobus, Diego Manni, Marco Trevisan‐Herraz, Mustafa Khwaja, Max Brown, Gavin D. Richardson, Masaaki Komatsu, Daniel Erskine, Viktor I. Korolchuk, Tetsushi Kataura   +11 more
wiley   +1 more source

Pseudo-Quantum Fractional Calculus and Existence of Solutions for Delay Pseudo-Fractional Differential Equations in Generalized Banach Spaces

Journal of Mathematics
This paper presents a new framework of pseudo-q–fractional calculus in generalized Banach spaces by bringing together pseudo-analysis, G–calculus, and quantum calculus. We introduce Liouville–Caputo and Riemann–Liouville pseudo-q–fractional operators and
Alireza Hatami, Reza Saadati, Mohammad Bagher Ghaemi, Donal O’Regan   +3 more
doaj   +1 more source

Functional comparison of EncB and EncC cargo proteins in iron storage within the Myxococcus xanthus encapsulin

FEBS Letters, EarlyView.
Encapsulins are protein nanocompartments that play an important role in iron storage. In the Myxococcus xanthus encapsulin system, two cargo proteins called EncB and EncC contribute to iron mineralization. Here, we show that EncB and EncC generate iron‐containing minerals with distinct chemical compositions, suggesting that the composition of stored ...
Harry B. McDowell, Thomas Walther, Egbert Hoiczyk   +2 more
wiley   +1 more source

Outliers in control engineering: fractional calculus perspective Fractional calculus in applied sciences and engineering ;, v. 10./ edited by Paweł Domański, Yang Quan Chen, and Maciej Ławryńczuk.

, 2022
Includes bibliographical references and index.Outliers play an important, though underestimated, role in control engineering. Traditionally they are unseen and neglected.
Domański Paweł, Ławryńczuk Maciej, Chen YangQuan   +2 more
core  

Bielecki-Ulam stability of a hammerstein-type difference system

MethodsX
In this study, we investigate the Bielecki-Ulam (B-U) stabilities of two forms of Hammerstein-type difference systems (HT-DS). Specifically, we consider the systems:(0.1){xm+1−xm=M¯mxm+F¯(m,xm,xhm)[∑[j=0][m]G¯(m,j)H¯(j,xj,xhj)]x0=b0,and(0.2){xm+1−xm=M ...
Gul Rahmat, Sohail Ahmad, Muhammad Sarwar, Kamaleldin Abodayeh, Saowaluck Chasreechai, Thanin Sitthiwirattham   +5 more
doaj   +1 more source

From Fractional Quantum Mechanics to Quantum Cosmology: An Overture

Mathematics, 2020
Fractional calculus is a couple of centuries old, but its development has been less embraced and it was only within the last century that a program of applications for physics started. Regarding quantum physics, it has been only in the previous decade or
Paulo Vargas Moniz, Shahram Jalalzadeh
doaj   +1 more source

Differential expression of cancer‐related genes supports prediction of poor response to first‐line treatments in T‐ALL pediatric patients with high minimal residual disease

Molecular Oncology, EarlyView.
In the present work, we have identified a transcriptional signature based on the differential expression of six genes (BCL2&MAST4, HSH2D&LAT2, METRN&PITPNM2) that would facilitate the early detection of T‐cell acute lymphoblastic leukemia (T‐ALL) patients prone to a poor treatment response and could be implemented at diagnosis, along with other risk ...
Antonio Lahera, Laura Vela‐Martín, Pablo Fernández‐Navarro, José Luis López‐Lorenzo, Javier Cornago, Pilar Llamas, Eduardo Pérez‐Gómez, José Luis Marín‐Rubio, Manuel Fresno, Javier Santos, José Fernández‐Piqueras, María Villa‐Morales   +11 more
wiley   +1 more source

KDM7A and KDM1A inhibition suppresses tumour promoting pathways in prostate cancer

Molecular Oncology, EarlyView.
Treatment resistance is a major challenge for patients with advanced prostate cancer. This study examined an alternative approach to target the major prostate cancer‐promoting pathway by targeting epigenetic factors, whose levels are higher in tumours.
Jennie N Jeyapalan, Veronika M Metzler, Simone de Brot, Corinne L Woodcock, Anna E Harris, Jennifer Lothion‐Roy, Emeli M Nilsson, Atara Ntekim, Michael S Toss, Jenny L Persson, Francesca Khani, Brian D Robinson, Lorraine J Gudas, Emad Rakha, David M Heery, Catrin S Rutland, Nigel P Mongan   +16 more
wiley   +1 more source