Since underground structures such as tunnels are inevitably surrounded by rocks, their long-
term safety and stability are primarily governed by the comportment of these materials. Being …

We study the dynamic evolution of COVID-19 caused by the Omicron variant via a fractional
susceptible–exposed–infected–removed (SEIR) model. Preliminary data suggest that the …

In this paper, we study the Caputo–Hadamard fractional partial differential equation where
the time derivative is the Caputo–Hadamard fractional derivative and the space derivative is …

In this paper, three kinds of numerical formulas are proposed for approximating the Caputo–
Hadamard fractional derivatives, which are called L1-2 formula, L2-1 σ formula, and H2N2 …

This paper is mainly dedicated to defining an adequate notion of fractional Lyapunov
exponent to the Hadamard-type fractional differential system (HTFDS). First, the continuous …

This paper is devoted to the investigation of the kinetics of Hadamard-type fractional
differential systems (HTFDSs) in two aspects. On one hand, the nonexistence of non-trivial …

In order to describe the mechanical behaviors of viscoelastic materials that couple memory
effects and time-varying viscosity properties toggled between thixotropy and rheopexy, this …

Ultraslow creep follows a logarithmic law, which exists in high strength self-compacting
concrete. The traditional and fractal derivative rheology models can respectively capture …

Hadamard type fractional calculus involves logarithmic function of an arbitrary exponent as
its convolutional kernel, which causes challenge in numerical treatment. In this paper we …

This paper is dedicated to achieving the unification of the scattered Lomnitz type creep laws.
Thereupon, a novel generalized fractional calculus, that is, Katugampola-like fractional …