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

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.

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Publication Details

Journal
Bulletin des Sciences Mathématiques
Published
2025-09-16
DOI
https://doi.org/10.1016/j.bulsci.2025.103737
Primary Topic
Advanced Differential Equations and Dynamical Systems
Type
article
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article

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

Miguel Yangari
Bulletin des Sciences Mathématiques
Advanced Differential Equations and Dynamical Systems
article

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

Miguel Yangari
article en

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.

Bulletin des Sciences MathématiquesVol. 206
National Polytechnic School (EC)
Openalex Percentile: Top 69%
Advanced Differential Equations and Dynamical Systems
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Hölder regularity of Hamilton-Jacobi cooperative systems with variable-order Caputo time derivative — Miguel Yangari · Bulletin des Sciences Mathématiques (2025) | TGRS Research Map | TGRS