Fractal Mellin transform and non-local derivatives
AK Golmankhaneh, K Welch, C Serpa… - Georgian Math …, 2023 - degruyter.com
This paper provides a comparison between the fractal calculus of fractal sets and fractal
curves. There are introduced the analogues of the Riemann–Liouville and Caputo integrals …
curves. There are introduced the analogues of the Riemann–Liouville and Caputo integrals …
[HTML][HTML] Generalized Kelvin–Voigt Creep Model in Fractal Space–Time
In this paper, we study the creep phenomena for self-similar models of viscoelastic materials
and derive a generalization of the Kelvin–Voigt model in the framework of fractal continuum …
and derive a generalization of the Kelvin–Voigt model in the framework of fractal continuum …
Fractal Continuum Mapping Applied to Timoshenko Beams
D Samayoa, A Alcántara, H Mollinedo, FJ Barrera-Lao… - Mathematics, 2023 - mdpi.com
In this work, a generalization of the Timoshenko beam theory is introduced, which is based
on fractal continuum calculus. The mapping of the bending problem onto a non …
on fractal continuum calculus. The mapping of the bending problem onto a non …
Fractal Mellin transform and non-local derivatives
A Khalili Golmankhaneh, K Welch, C Serpa… - Georgian …, 2024 - degruyter.com
This paper provides a comparison between the fractal calculus of fractal sets and fractal
curves. There are introduced the analogues of the Riemann–Liouville and Caputo integrals …
curves. There are introduced the analogues of the Riemann–Liouville and Caputo integrals …