Results 61 to 70 of about 905,072 (302)

Was the Early Calculus an Inconsistent Theory? [PDF]

, 2007
The ubiquitous assertion that the early calculus of Newton and Leibniz was an inconsistent theory is examined. Two different objects of a possible inconsistency claim are distinguished: (i) the calculus as an algorithm; (ii) proposed explanations of the ...
Vickers, Peter
core  

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

Exploring Fractional $q$-Kinetic Equations via Generalized $q$-Mittag-Leffler Type Functions: Applications and Analysis [PDF]

Sahand Communications in Mathematical Analysis
In this study, the $q$-calculus is employed to introduce a novel generalization of the Mittag-Leffler function. In the following, we investigate a novel $q$-exponential function with five parameters, resulting in the generalized $q$-Mittag-Leffler ...
Mulugeta Dawud Ali, Dayalal Suthar, Sunil Purohit   +2 more
doaj   +1 more source

Salmonella lipopolysaccharide‐containing supported lipid bilayers as platforms to study bacteriophage interactions

FEBS Letters, EarlyView.
We present robust protocols for the preparation of supported lipid bilayers (SLBs) incorporating either Salmonella smooth LPS or outer membrane vesicles (OMVs). We use a combination of quartz crystal microbalance with dissipation (QCM‐D) and fluorescence microscopy to both characterize the SLBs of various compositions and to probe their interactions ...
Hudson P. Pace, Alyssa Borges, Charles Arnaud, Tove Karlsson, Nina K. Bröker, Stefanie Barbirz, Marta Bally   +6 more
wiley   +1 more source

Fisher information, Borges operators, and q-calculus

Physica A: Statistical Mechanics and its Applications, 2008
Abstract We discuss applying the increasingly popular q -calculus, or deformed calculus, so as to suitably generalize Fisher’s information measure and the Cramer–Rao inequality. A q -deformation can be attained in multiple ways, and we show that most of them do not constitute legitimate procedures. Within such a context, the only completely
Pennini, F., Plastino, A., Ferri, G. L.
openaire   +3 more sources

On Saigo fractional \(q\)-calculus of a general class of \(q\)-polynomials

Sahand Communications in Mathematical Analysis, 2023
Summary: In this paper, we derive Saigo fractional \(q\)-integrals of the general class of \(q\)-polynomials and demonstrate their application by investigating \(q\)-Konhouser biorthogonal polynomial, \(q\)-Jacobi polynomials and basic analogue of the Kampé de Fériet function.
Shimelis, Biniyam, Suthar, Dayalal
openaire   +2 more sources

New Forms of the Open Newton-Cotes-Type Inequalities for a Family of the Quantum Differentiable Convex Functions [PDF]

Sahand Communications in Mathematical Analysis
The main objective of this paper is to establish some new inequalities related to the open Newton-Cotes formulas in the setting of q-calculus. We establish a quantum integral identity first and then prove the desired inequalities for $q$-differentiable ...
Jarunee Soontharanon, Muhammad Ali, Shahram Rezapour, Muhammad Toseef, Thanin Sitthiwirattham   +4 more
doaj   +1 more source

Some reverse inequalities of Hardy type on time scales

Advances in Difference Equations, 2020
In this article, we obtain some new dynamic inequalities of Hardy type on time scales. The main results are derived using Fubini’s theorem and the chain rule on time scales.
A. A. El-Deeb, H. A. El-Sennary, Zareen A. Khan   +2 more
doaj   +1 more source

Subtype‐specific enhancer RNAs define transcriptional regulators and prognosis in breast cancers

Molecular Oncology, EarlyView.
This study employed machine learning methodologies to perform the subtype‐specific classification of RNA‐seq data sets, which are mapped on enhancers from TCGA‐derived breast cancer patients. Their integration with gene expression (referred to as ProxCReAM eRNAs) and chromatin accessibility profiles has the potential to identify lineage‐specific and ...
Aamena Y. Patel, Peyman Zarrineh, Nathnael T. Tuffa, Jigar H. Sheth, Sumitra Mohan, Mudassar Iqbal, Sankari Nagarajan   +6 more
wiley   +1 more source

A Calculus of Mobile Resources

, 2002
We introduce a calculus of Mobile Resources (MR) tailored for the design and analysis of systems containing mobile, possibly nested, computing devices that may have resource and access constraints, and which are not copyable nor modifiable per se.
Godskesen, J.Chr., Hildebrandt, T., Jens Chr Godskesen, Jens Christian Godskesen, Jens Chr. Godskesen, Vladimiro Sassone, Thomas Hildebrandt, Thomas Hildebr, Sassone, V.   +8 more
core   +1 more source