This paper applies a recently proposed numerical algorithm to discuss the deflection of
viscoelastic micro-beams in the time domain with direct access. A nonlinear-fractional order …

The main goal of this manuscript is to generalize Darcy's law from conventional calculus to
fractal calculus in order to quantify the fluid flow in subterranean heterogeneous reservoirs …

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 …

In this manuscript, static and free vibration responses on Euler–Bernoulli beams with a Koch
snowflake cross-section are studied. By applying the finite element method, the transversal …

As a tool to deal with the phenomenon in layered or porous media, many theoretical
problems need to be improved urgently. In this paper, the definitions of two kinds of fractal …

In excavation engineering, most of the retaining structures are subjected to asymmetrical
loads, including in asymmetrical excavation and asymmetrical overloading. However, a …

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 …

In this work, the fractal continuum Maxwell law for the creep phenomenon is introduced. By
mapping standard integer space-time into fractal continuum space-time using the well …

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 …