Results 111 to 120 of about 492,476 (332)

Semilocal convergence of Newton-like methods under general conditions with applications in fractional calculus

open access: yesJournal of Numerical Analysis and Approximation Theory, 2015
We present a semilocal convergence study of Newton-like methods on a generalized Banach space setting to approximate a locally unique zero of an operator.
George A. Anastassiou   +1 more
doaj   +2 more sources

Fractional Calculus of Analytic Functions Concerned with Möbius Transformations

open access: yesJournal of Function Spaces, 2016
Let A be the class of functions f(z) in the open unit disk U with f(0)=0 and f′(0)=1. Also, let w(ζ) be a Möbius transformation in U for some z∈U.
Nicoleta Breaz   +2 more
doaj   +1 more source

Calculus of the fractional order operators in a discrete time domain [PDF]

open access: green, 2020
Konrad Hawron   +2 more
openalex   +1 more source

Fractional Tempered Variational Calculus

open access: yesMathematical Methods in the Applied Sciences
ABSTRACTIn this paper, we derive sufficient conditions ensuring the existence of a weak solution for a tempered fractional Euler‐Lagrange equations. Furthermore, we study a fractional tempered version of Noether theorem, and we provide a very explicit expression of a constant of motion in terms of symmetry group and Lagrangian for fractional problems
César E. Torres Ledesma   +3 more
openaire   +2 more sources

Detection of circulating tumor DNA in colorectal cancer patients using a methylation‐specific droplet digital PCR multiplex

open access: yesMolecular Oncology, EarlyView.
We developed a cost‐effective methylation‐specific droplet digital PCR multiplex assay containing tissue‐conserved and tumor‐specific methylation markers. The assay can detect circulating tumor DNA with high accuracy in patients with localized and metastatic colorectal cancer.
Luisa Matos do Canto   +8 more
wiley   +1 more source

LINC01116, a hypoxia‐lncRNA marker of pathological lymphangiogenesis and poor prognosis in lung adenocarcinoma

open access: yesMolecular Oncology, EarlyView.
The LINC01116 long noncoding RNA is induced by hypoxia and associated with poor prognosis and high recurrence rates in two cohorts of lung adenocarcinoma patients. Here, we demonstrate that besides its expression in cancer cells, LINC01116 is markedly expressed in lymphatic endothelial cells of the tumor stroma in which it participates in hypoxia ...
Marine Gautier‐Isola   +12 more
wiley   +1 more source

ATF4‐mediated stress response as a therapeutic vulnerability in chordoma

open access: yesMolecular Oncology, EarlyView.
We screened 5 chordoma cell lines against 100+ inhibitors of epigenetic and metabolic pathways and kinases and identified halofuginone, a tRNA synthetase inhibitor. Mechanistically halofuginone induces an integrated stress response, with eIF2alpha phosphorylation, activation of ATF4 and its target genes CHOP, ASNS, INHBE leading to cell death ...
Lucia Cottone   +11 more
wiley   +1 more source

Numerical Approximations and Fractional Calculus: Extending Boole’s Rule with Riemann–LiouvilleFractional Integral Inequalities

open access: yesFractal and Fractional
This paper develops integral inequalities for first-order differentiable convex functions within the framework of fractional calculus, extending Boole-type inequalities to this domain. An integral equality involving Riemann–Liouville fractional integrals
Abdul Mateen   +4 more
doaj   +1 more source

Developing evidence‐based, cost‐effective P4 cancer medicine for driving innovation in prevention, therapeutics, patient care and reducing healthcare inequalities

open access: yesMolecular Oncology, EarlyView.
The cancer problem is increasing globally with projections up to the year 2050 showing unfavourable outcomes in terms of incidence and cancer‐related deaths. The main challenges are prevention, improved therapeutics resulting in increased cure rates and enhanced health‐related quality of life.
Ulrik Ringborg   +43 more
wiley   +1 more source

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