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Fractional quantum Julia set (Q6106019)

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scientific article; zbMATH DE number 7702362

Language	Label	Description	Also known as
English	Fractional quantum Julia set	scientific article; zbMATH DE number 7702362

Statements

scholarly article

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Fractional quantum Julia set (English)

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Applied Mathematics and Computation

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publication date

27 June 2023

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zbMATH Keywords

fractal

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\(q\)-difference

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fractional calculus

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quadratic map

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disturbance

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.amc.2023.128077

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Quantum calculus

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A \(q\)-deformed nonlinear map

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Monotonicity and convexity for nabla fractional (<i>q</i>, <i>h</i>)-differences

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Fractional chaotic maps with \(q\)-deformation

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A generalized fractional (<i>q</i>, <i>h</i>)–Gronwall inequality and its applications to nonlinear fractional delay (<i>q</i>, <i>h</i>)–difference systems

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On the dynamics of fractional q-deformation chaotic map

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On q-analogues of the quantum harmonic oscillator and the quantum group SU(2)<sub>q</sub>

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\(q\)-field theory

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Spectral analysis of \(q\)-difference equations with spectral singularities

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On \(q\)-dynamic equations modelling and complexity

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Discrete fractional logistic map and its chaos

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Jacobian matrix algorithm for Lyapunov exponents of the discrete fractional maps

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New variable-order fractional chaotic systems for fast image encryption

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Fractional <i>q</i>-deformed chaotic maps: A weight function approach

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Adaptive synchronization of Julia sets generated by Mittag-Leffler function

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On the spatial Julia set generated by fractional Lotka-Volterra system with noise

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A brief note on fractal dynamics of fractional Mandelbrot sets

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Majorana representation for a composite system

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Stability of \(q\)-fractional non-autonomous systems

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New applications of the variational iteration method -- from differential equations to \(q\)-fractional difference equations

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Positive solutions for nonlinear semipositone fractional \(q\)-difference system with coupled integral boundary conditions

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Positive solutions for a class of boundary value problems with fractional \(q\)-differences

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Eigenvalue problems of fractional \(q\)-difference equations with generalized \(p\)-Laplacian

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Twin iterative positive solutions of fractional \(q\)-difference Schrödinger equations

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On Riemann‐Liouville fractional <i>q</i>–difference equations and their application to retarded logistic type model

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Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications

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\(q\)-fractional calculus and equations

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On (<i>q</i>, <i>h</i>)-Analogue of Fractional Calculus

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Caputo type fractional difference operator and its application on discrete time scales

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Two asymptotic results of solutions for nabla fractional (q; h)-difference equations

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Grünwald-Letnikov operators for fractional relaxation in Havriliak-Negami models

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On a topological closeness of perturbed Julia sets

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On a topological closeness of perturbed Mandelbrot sets

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On the noise-perturbed spatial Julia set generated by Lorenz system

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Identifiers

10.1016/j.amc.2023.128077

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:6106019

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