This monograph is an invitation both to the interested scientists and the engineers. It
presents a thorough introduction to the recent results of local fractional calculus. It is also …

Recent advances in wearable and/or biomedical sensing technologies have made it
possible to record very long-term, continuous biomedical signals, referred to as biomedical …

Number theory, spectral geometry, and fractal geometry are interlinked in this in-depth study
of the vibrations of fractal strings, that is, one-dimensional drums with fractal boundary. Key …

We provide the first mathematical proof that the connective constant of the hexagonal lattice
is equal to√ 2+√ 2. This value has been derived nonrigorously by B. Nienhuis in 1982 …

Our main goal in this long survey article is to provide an overview of the theory of complex
fractal dimensions and of the associated geometric or fractal zeta functions, first in the case …

Neuro-degenerative diseases influence significantly the gait behavior and the ability to
move. To explore the etiology of neuro-degenerative disease, it would be useful to …

In this research, we study the fetal heart rate from abdominal signals using multi-fractal
spectra and fractal analysis. We use the Abdominal and Direct Fetal Electrocardiogram …

Synchronization of satellite systems offers numerous advantages, including cost-
effectiveness, flexibility, and extended area coverage. However, the presence of chaotic …

We rigorously study eigenvalues and eigenfunctions (vibration modes) on the class of self-
similar symmetric finitely ramified fractals, which include the Sierpinski gasket and other 3n …

In this study, we explore the possibility that ECG recordings belong to class of multifractal
process for which a large number of scaling exponents are required to characterize their …