Non-standard analysis for fractal calculus

A Khalili Golmankhaneh, K Welch, C Serpa… - The Journal of …, 2023 - Springer
In this paper, we summarize fractal calculus on fractal curves and nonstandard analysis.
Using nonstandard analysis which includes hyperreal and hyperinteger numbers, we define …

Signals and linear systems: a novel approach based on infinitesimal calculus (Part I)

SG José, GG Kemel - IEEE Latin America Transactions, 2020 - ieeexplore.ieee.org
In part I of this paper, the development of a course on linear signals and systems is
presented, based on an infinitesimal calculus model, called MicroCalculus. Such a calculus …

Non-autonomous higher-order Moreau's swee** process: Well-posedness, stability and Zeno trajectories

B Brogliato - European Journal of Applied Mathematics, 2018 - cambridge.org
In this article, we study the higher-order Moreau's swee** process introduced in [1], in the
case where an exogenous time-varying function u (·) is present in both the linear dynamics …

[PDF][PDF] Automatic Power Restoration In Distribution Systems Modeled Through Multiagent SysteSignals And Linear Systems: A Novel Approach Based On Infinitesimal …

JL Simancas-García… - IEEE Latin America …, 2020 - latamt.ieeer9.org
course on linear signals and systems is presented, based on an infinitesimal calculus
model, called MicroCalculus. Such a calculus model allows a didactic development of the …