Results 31 to 40 of about 49,385 (321)

Generalized Quantum Integro-Differential Fractional Operator with Application of 2D-Shallow Water Equation in a Complex Domain

open access: yesAxioms, 2021
In this paper, we aim to generalize a fractional integro-differential operator in the open unit disk utilizing Jackson calculus (quantum calculus or q-calculus).
Rabha W. Ibrahim, Dumitru Baleanu
doaj   +1 more source

Time-dependent Hamiltonian Simulation of Highly Oscillatory Dynamics and Superconvergence for Schrödinger Equation [PDF]

open access: yesQuantum, 2022
We propose a simple quantum algorithm for simulating highly oscillatory quantum dynamics, which does not require complicated quantum control logic for handling time-ordering operators.
Dong An, Di Fang, Lin Lin
doaj   +1 more source

New Applications of the Sălăgean Quantum Differential Operator for New Subclasses of q-Starlike and q-Convex Functions Associated with the Cardioid Domain

open access: yesSymmetry, 2023
In this paper, we define a new family of q-starlike and q-convex functions related to the cardioid domain utilizing the ideas of subordination and the Sălăgean quantum differential operator. The primary contribution of this article is the derivation of a
Suha B. Al-Shaikh
semanticscholar   +1 more source

On subclasses of analytic functions based on a quantum symmetric conformable differential operator with application

open access: yesAdvances in Difference Equations, 2020
Quantum calculus (the calculus without limit) appeared for the first time in fluid mechanics, noncommutative geometry and combinatorics studies. Recently, it has been included into the field of geometric function theory to extend differential operators ...
Rabha W. Ibrahim   +2 more
doaj   +1 more source

Cartan Calculus for Quantum Differentials on Bicrossproducts [PDF]

open access: yesActa Applicandae Mathematicae, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ngakeu, F., Majid, S., Ezin, J.-P.
openaire   +2 more sources

Solvability of a New q-Differential Equation Related to q-Differential Inequality of a Special Type of Analytic Functions

open access: yesFractal and Fractional, 2021
The current study acts on the notion of quantum calculus together with a symmetric differential operator joining a special class of meromorphic multivalent functions in the puncher unit disk.
Ibtisam Aldawish, Rabha W. Ibrahim
doaj   +1 more source

Quantum Principal bundle and Non Commutative differential calculus

open access: yesProceedings of Corfu Summer Institute 2021 "School and Workshops on Elementary Particle Physics and Gravity" — PoS(CORFU2021), 2022
We give a sheaf theoretic approach to the notion of quantum principal bundle over projective bases and its first order differential ...
Aschieri P.   +3 more
openaire   +2 more sources

A New Measure of Quantum Starlike Functions Connected with Julia Functions

open access: yesJournal of Function Spaces, 2022
In a complex domain, the investigation of the quantum differential subordinations for starlike functions is newly considered by few research studies. In this note, we arrange a set of necessary conditions utilizing the concept of the quantum differential
Samir B. Hadid   +2 more
doaj   +1 more source

The Properties of Meromorphic Multivalent q-Starlike Functions in the Janowski Domain

open access: yesFractal and Fractional, 2023
Many researchers have defined the q-analogous of differential and integral operators for analytic functions using the concept of quantum calculus in the geometric function theory.
Isra Al-Shbeil   +5 more
doaj   +1 more source

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