Fractional viscoelastic models with Caputo generalized fractional derivative

DOI10.1002/MMA.7229OpenAlexW3127379847MaRDI QIDQ6140776

Krunal B. Kachhia, José Francisco Gómez-Aguilar, Unnamed Author

Publication date: 2 January 2024

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.7229

zbMATH Keywords

viscoelastic modelsfractional modelinggeneralized Caputo fractional derivativemechanical properties of models

Mathematics Subject Classification ID

Viscoelastic fluids (76A10) Fractional derivatives and integrals (26A33) Applications of fractional calculus in solid mechanics (74S40)

Cites Work

• Modeling of a mass-spring-damper system by fractional derivatives with and without a singular kernel
• New approach to a generalized fractional integral
• Fractal-fractional differentiation and integration: connecting fractal calculus and fractional calculus to predict complex system
• On new approach of fractional derivative by Mittag-Leffler kernel to neutral integro-differential systems with impulsive conditions
• A fractional-order Maxwell model for non-Newtonian fluids
• Non validity of index law in fractional calculus: a fractional differential operator with Markovian and non-Markovian properties

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