Modeling and analysis of novel COVID-19 outbreak under fractal-fractional derivative in Caputo sense with power-law: a case study of Pakistan

KT Kubra, R Ali - Modeling Earth Systems and Environment, 2023 - Springer
In this paper, a five-compartment model is used to explore the dynamics of the COVID-19
pandemic, taking the vaccination campaign into account. The present model consists of five …

A characterisation of functions computable in polynomial time and space over the reals with discrete ordinary differential equations: Simulation of Turing machines …

M Blanc, O Bournez - … Foundations of Computer Science (MFCS 2023), 2023 - hal.science
We prove that functions over the reals computable in polynomial time can be characterised
using discrete ordinary differential equations (ODE), also known as finite differences. We …

A New Characterization of FAC⁰ via Discrete Ordinary Differential Equations

M Antonelli, A Durand, J Kontinen - … International Symposium on …, 2024 - drops.dagstuhl.de
Implicit computational complexity is an active area of theoretical computer science, which
aims at providing machine-independent characterizations of relevant complexity classes …

Simulation of Turing machines with analytic discrete ODEs: FPTIME and FPSPACE over the reals characterised with discrete ordinary differential equations

M Blanc, O Bournez - arXiv preprint arXiv:2307.11747, 2023 - arxiv.org
We prove that functions over the reals computable in polynomial time can be characterised
using discrete ordinary differential equations (ODE), also known as finite differences. We …

The complexity of computing in continuous time: space complexity is precision

M Blanc, O Bournez - arXiv preprint arXiv:2403.02499, 2024 - arxiv.org
Models of computations over the integers are equivalent from a computability and
complexity theory point of view by the Church-Turing thesis. It is not possible to unify discrete …

Polynomial time computable functions over the reals characterized using discrete ordinary differential equations

M Blanc, O Bournez - arXiv preprint arXiv:2209.13404, 2022 - arxiv.org
The class of functions from the integers to the integers computable in polynomial time has
been characterized recently using discrete ordinary differential equations (ODE), also known …

Towards New Characterizations of Small Circuit Classes via Discrete Ordinary Differential Equations (short paper)

M Antonelli, A Durand… - 25th Italian Conference …, 2024 - researchportal.helsinki.fi
Implicit computational complexity is an active area of theoretical computer science, which
aims to provide machine-independent characterizations of relevant complexity classes. One …

[PDF][PDF] Characterisations of polynomial-time and-space complexity classes over the reals

M BLANC, O BOURNEZ - cca-net.de
Many recent works study how analogue models work, compared to classical digital ones
([6]). By “analogue” models of computation, we mean computing over continuous quantities …

[PDF][PDF] Towards New Characterizations of Small Circuit Classes via Discrete Ordinary Differential Equations

M Antonelli, A Durand, J Kontinen - 2022 - ictcs2024.di.unito.it
Implicit computational complexity is an active area of theoretical computer science, which
aims to provide machine-independent characterizations of relevant complexity classes. One …