On time‐fractional partial differential equations of time‐dependent piecewise constant order
This contribution considers the time‐fractional subdiffusion with a time‐dependent variable‐order fractional operator of order . It is assumed that is a piecewise constant function with a finite number of jumps. A proof technique based on the Fourier method and results from constant‐order fractional subdiffusion equations has been designed. This novel approach results in the well‐posedness of the problem.
Authors
- Yavar Kian (ORCID: https://orcid.org/0000-0002-5588-3600)
- Éric Soccorsi
- Marián Slodička (ORCID: https://orcid.org/0000-0001-8606-4387)
- Karel Van Bockstal (ORCID: https://orcid.org/0000-0002-1898-7611)
Institutions
- HOGENT University of Applied Sciences and Arts (BE)
- Centre National de la Recherche Scientifique (FR)
- Université de Toulon (FR)
- Ghent University (BE)
- Normandie Université (FR)
- Université de Rouen Normandie (FR)
Publication Details
- Journal
- Mathematical Methods in the Applied Sciences
- Published
- 2024-08-26
- DOI
- https://doi.org/10.1002/mma.10439
- Citations
- 5
- Primary Topic
- Fractional Differential Equations Solutions
- Type
- article
- Field-Weighted Citation Impact
- 1.98
Funders
- Universiteit Gent
- Bijzonder Onderzoeksfonds UGent