Variable Order Mittag–Leffler Fractional Operators on Isolated Time Scales and Application to the Calculus of Variations (Q5114505)

scientific article; zbMATH DE number 7214422

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English	Variable Order Mittag–Leffler Fractional Operators on Isolated Time Scales and Application to the Calculus of Variations	scientific article; zbMATH DE number 7214422

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instance of

scholarly article

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title

Variable Order Mittag–Leffler Fractional Operators on Isolated Time Scales and Application to the Calculus of Variations (English)

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Studies in Systems, Decision and Control

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publication date

24 June 2020

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full work available at URL

https://arxiv.org/abs/1809.02029

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zbMATH Keywords

fractional calculus

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Atangana-Baleanu fractional derivative

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fractional variational problems

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MaRDI profile type

MaRDI publication profile

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cites work

On delta and nabla Caputo fractional differences and dual identities

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Discrete fractional differences with nonsingular discrete Mittag-Leffler kernels

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On fractional derivatives with exponential kernel and their discrete versions

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A semigroup-like property for discrete Mittag-Leffler functions

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The variable-order fractional calculus of variations

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Hamilton’s principle with variable order fractional derivatives

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Q5268508

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A new derivative with normal distribution kernel: theory, methods and applications

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Fractional derivatives with no-index law property: application to chaos and statistics

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Q3006513

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Necessary optimality conditions for fractional difference problems of the calculus of variations

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Discrete-time fractional variational problems

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Complex-Valued Fractional Derivatives on Time Scales

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Nonsymmetric and symmetric fractional calculi on arbitrary nonempty closed sets

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Mechanics with variable-order differential operators

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Synchronization of chaotic systems involving fractional operators of Liouville-Caputo type with variable-order

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A numerical solution for a variable-order reaction-diffusion model by using fractional derivatives with non-local and non-singular kernel

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Nonlinear dynamics and control of a variable order oscillator with application to the van der Pol equation

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Analytical and numerical solutions of a nonlinear alcoholism model via variable-order fractional differential equations

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Discrete Fractional Calculus

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Variable order and distributed order fractional operators

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Averaging principles for functional stochastic partial differential equations driven by a fractional Brownian motion modulated by two-time-scale Markovian switching processes

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On the selection and meaning of variable order operators for dynamic modeling

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On the variable order dynamics of the nonlinear wake caused by a sedimenting particle

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Fractional integration operator of variable order in the Hölder spaces \(H^{\lambda (x)}\)

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Fractional integration and differentiation of variable order

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Integration and differentiation to a variable fractional order

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Q3141895

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Positive solutions to fractional boundary-value problems with \(p\)-Laplacian on time scales

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Novel numerical method for solving variable-order fractional differential equations with power, exponential and Mittag-Leffler laws

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Computation of an infinite integral using integration by parts

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Caputo derivatives of fractional variable order: numerical approximations

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Fractional Herglotz variational problems of variable order

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Combined fractional variational problems of variable order and some computational aspects

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Solving fractional differential equations of variable-order involving operators with Mittag-Leffler kernel using artificial neural networks

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Identifiers

zbMATH Open document ID

1442.26007

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DOI

10.1007/978-3-030-11662-0_3

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5114505