Modeling Heat Transfer Process in Grid-Holes Structure Changed in Time Using Fractional Variable Order Calculus

DOI10.1007/978-3-319-45474-0_27zbMath1430.80007OpenAlexW2512101178MaRDI QIDQ5236997

Dominik Sierociuk, Piotr Sakrajda

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_27

zbMATH Keywords

modelingheat transfer processvariable order systems

Mathematics Subject Classification ID

Finite element, Galerkin and related methods applied to problems in thermodynamics and heat transfer (80M10) Fractional partial differential equations (35R11) Diffusive and convective heat and mass transfer, heat flow (80A19)

Related Items (7)

Applications of variable-order fractional operators: a review ⋮ Simplifying biochemical tumorous bone remodeling models through variable order derivatives ⋮ Analytical solution of fractional variable order differential equations ⋮ Realization of the Fractional Variable-Order Model with Symmetric Property ⋮ Switching Energy Loss in Fractional-Order Time-Varying Heat Diffusion Model ⋮ Modeling Heat Transfer Process in Grid-Holes Structure Changed in Time Using Fractional Variable Order Calculus ⋮ Fractional variable-order derivative and difference operators and their applications to dynamical systems modelling

Uses Software

• Fractional Variable Order Derivative Simulink

Cites Work

• Some applications of fractional order calculus
• On the recursive fractional variable-order derivative: equivalent switching strategy, duality, and analog modeling
• Fractional-order systems and controls. Fundamentals and applications
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Comparison and validation of integer and fractional order ultracapacitor models
• Derivation, interpretation, and analog modelling of fractional variable order derivative definition
• On the variable order dynamics of the nonlinear wake caused by a sedimenting particle
• 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
• Anomalous diffusion in heterogeneous porous media
• Modeling Heat Transfer Process in Grid-Holes Structure Changed in Time Using Fractional Variable Order Calculus

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