Work

Hölder regularity of Hamilton-Jacobi cooperative systems with variable-order Caputo time derivative

Year: 2025

Type: article

Abstract: In this paper, we focus on parabolic cooperative systems where the standard time derivative is replaced by variable-order fractional derivatives of Caputo type. We study the well-posedness of solutions and also we establish results of Hölder regularity in time and space variables.

Source: Bulletin des Sciences Mathématiques

DOI: 10.1016/j.bulsci.2025.103737

Author: Miguel Yangari

Institution: National Polytechnic School

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,690

Funders: Conselho Nacional de Desenvolvimento Científico e Tecnológico, Escuela Politécnica Nacional