3 papers
math.OC2025
Mathematical Modeling of Networks in Strength of Materials
Ioannis Dassios
We study a material modeled as a network of nodes connected by edges. Using a discrete approach, we build a nonlinear algebraic system that connects applied forces to internal forc…
math.OC2025
Fractional Operators for Nonlinear Electrical Circuits
Ioannis Dassios
This article introduces two new fractional operators with sine () and cosine () kernels, motivated by their fundamental role in modeling AC signals in electrical circui…
math.OC2024
Constructing Electricity Market Models
Ioannis Dassios
This working paper presents a comprehensive study on the development and analysis of various electricity market models, focusing on continuous, discrete, and fractional-order appro…