Order Composition Properties for Output-Additive Variable-Order Derivative

DOI10.1007/978-3-319-45474-0_6zbMath1426.26017OpenAlexW2516269266MaRDI QIDQ5236971

Michal Macias

Publication date: 16 October 2019

Published in: Lecture Notes in Electrical Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-45474-0_6

zbMATH Keywords

fractional calculusvariable order derivative

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33)

Uses Software

• Fractional Variable Order Derivative Simulink

Cites Work

• Some applications of fractional order calculus
• On the selection and meaning of variable order operators for dynamic modeling
• Variable-order fractional derivatives and their numerical approximations
• On the recursive fractional variable-order derivative: equivalent switching strategy, duality, and analog modeling
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Variable order and distributed order fractional operators
• Comparison and validation of integer and fractional order ultracapacitor models
• Derivation, interpretation, and analog modelling of fractional variable order derivative definition
• Modelling heat transfer in heterogeneous media using fractional calculus
• Fractional Order Model of Beam Heating Process and Its Experimental Verification
• Stability of Discrete Fractional Order State-space Systems
• Numerical schemes for initialized constant and variable fractional-order derivatives: matrix approach and its analog verification

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