Fractional systems: theoretical foundations (Q2098435)

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scientific article; zbMATH DE number 7620047

Language	Label	Description	Also known as
English	Fractional systems: theoretical foundations	scientific article; zbMATH DE number 7620047

Statements

scholarly article

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Fractional systems: theoretical foundations (English)

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Piotr Ostalczyk

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Ewa Pawłuszewicz

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publication date

18 November 2022

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describes a project that uses

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MaRDI profile type

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full work available at URL

https://doi.org/10.1007/978-3-030-89972-1_2

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On solutions of variable-order fractional differential equations

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On the existence of optimal consensus control for the fractional Cucker–Smale model

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Fractional calculus in the transient analysis of viscoelastically damped structures

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On the Fractional Calculus Model of Viscoelastic Behavior

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Stabilization and control of fractional order systems: a sliding mode approach

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Fractals and fractional calculus in continuum mechanics

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Mechanics with variable-order differential operators

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Image-Based and Fractional-Order Control for Mechatronic Systems

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Short memory principle and a predictor-corrector approach for fractional differential equations

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An algorithm for the numerical solution of differential equations of fractional order

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A predictor-corrector approach for the numerical solution of fractional differential equations

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Fractional derivatives and best approximations

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Synchronization of fractional-order discrete-time chaotic systems by an exact delayed state reconstructor: application to secure communication

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Correcting the initialization of models with fractional derivatives via history-dependent conditions

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Optimal Control for Discrete Fractional Systems

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Comparison and validation of integer and fractional order ultracapacitor models

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Fractional Diffusion Equations and Anomalous Diffusion

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The numerical solution of fractional differential equations: speed versus accuracy

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Dynamics and control of initialized fractional-order systems

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Applications of fractional calculus in physics

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Selected problems of fractional systems theory.

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Fractional linear systems and electrical circuits

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Variable order and distributed order fractional operators

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Discretized Fractional Calculus

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Stability properties for generalized fractional differential systems

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Numerical approach to differential equations of fractional order

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Fractional-order systems and controls. Fundamentals and applications

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Generalized fractional-order discrete-time integrator

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Variable-, Fractional-Order Oscillation Element

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Constrained Controllability of h-Difference Linear Systems with Two Fractional Orders

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Local observability and controllability of nonlinear discrete-time fractional order systems based on their linearisation

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The fractional calculus. Theory and applications of differentiation and integration to arbitrary order

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Fractional Derivatives and Leibniz Rule

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Diversity and Non‐Integer Differentiation for System Dynamics

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Fractional-order nonlinear systems. Modeling, analysis and simulation

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Fractional-order systems and PI/sup /spl lambda//D/sup /spl mu//-controllers

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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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Solution existence for non-autonomous variable-order fractional differential equations

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Advances in Fractional Calculus

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Conditions and a computation method of the constrained regulation problem for a class of fractional-order nonlinear continuous-time systems

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Fractional variable order discrete-time systems, their solutions and properties

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Modelling heat transfer in heterogeneous media using fractional calculus

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A review on variable-order fractional differential equations: mathematical foundations, physical models, numerical methods and applications

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Fractional-order Modeling and Control of Dynamic Systems

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Extrapolation to the Limit for Numerical Fractional Differentiation

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Variable-order fractional derivatives and their numerical approximations

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Stability of nonlinear h-difference systems with n fractional orders

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Identifiers

10.1007/978-3-030-89972-1_2

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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:2098435

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