Variable fractional modeling and vibration analysis of variable-thickness viscoelastic circular plate

R Dang, Y Cui, J Qu, A Yang, Y Chen - Applied Mathematical Modelling, 2022 - Elsevier
In this paper, a variable fractional derivative model (VFDM) is used to model the viscoelastic
circular plate whose thickness varies exponentially. Based on the VFDM, a ternary variable …

[HTML][HTML] New perspective on the creep characteristic of fiber–dependent shape memory polymers: Variable–order fractional constitutive model

G Shiru, P Hai, Y Mengsen, S Ziheng, L Dejun… - Journal of Materials …, 2023 - Elsevier
With the aim of describing and explaining the creep tensile property of shape memory
polymers (SMPs) better, a variable--order fractional creep constitutive model with fewer …

Conformable derivative models for linear viscoelastic materials

KB Kachhia, DA Gosai - Mechanics of Time-Dependent Materials, 2024 - Springer
The article deals with fractional viscoelastic models, including conformable derivatives. The
Maxwell model and Zener model involving conformable derivative are studied for relaxation …

New solvability and stability results for variable-order fractional initial value problem

H Abdelhamid, MS Souid, J Alzabut - The Journal of Analysis, 2024 - Springer
In this paper, we employ a new methodology to investigate the existence, uniqueness, and
stability for initial value problem in the frame of Riemann–Liouville derivative of variable …