Results 51 to 60 of about 11,741 (260)

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

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

Modulation of Homer1 EVH1 domain internal dynamics by putative autism‐associated mutations

FEBS Letters, EarlyView.
The putative autism‐associated M65I and S97L variants of the EVH1 domain of the postsynaptic scaffold protein Homer1 do not exhibit substantial changes in their overall structure or partner binding. Both of them, but especially the M65I variant, show altered internal dynamics relative to the wild‐type domain on the μs‐ms timescale, indicated by the ...
Fanni Farkas, Brigitta Maruzs, Zsófia E. Kálmán, Tomas Klumpler, Gyula Batta, Bálint Péterfia, Zoltán Gáspári   +6 more
wiley   +1 more source

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

On q-Calculus Related Generalization of Close-to-Convexity

Earthline Journal of Mathematical Sciences, 2023
We introduce and study $q$-analogue of certain classes of analytic functions which are related with generalized close-to-convexity. Distortion, inclusion results and growth rate of coefficient problem are investigated for these classes. Some applications of our results are highlighted.
Khalida Inayat Noor, Muhammad Aslam Noor
openaire   +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

Peripheral lysosomes recruit PLEKHG3 to focal adhesions and restrain protrusion dynamics

FEBS Letters, EarlyView.
Proximity‐dependent labeling at the LAMTOR complex revealed the Rho GEF PLEKHG3 as a lysosome‐proximal protein directing the study toward the influence of lysosome positioning on actin dynamics and cell motility. We show that PLEKHG3 colocalizes with lysosomes at focal adhesion sites and observe that forced peripheral dispersion of lysosomes hinders ...
Rainer Ettelt, Ana‐Maria Sandru, Georg Vucak, Sebastian Didusch, Biljana Riemelmoser, Karin Ehrenreiter, Markus Hartl, Lukas A. Huber, Manuela Baccarini   +8 more
wiley   +1 more source