Work

On time‐fractional partial differential equations of time‐dependent piecewise constant order

Year: 2024

Type: article

Abstract: 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.

Source: Mathematical Methods in the Applied Sciences

DOI: 10.1002/mma.10439

Authors: Yavar Kian, Marián Slodička, Éric Soccorsi, Karel Van Bockstal

Institutions: Centre National de la Recherche Scientifique, Université de Rouen Normandie, Ghent University, Université de Toulon, Aix-Marseille Université

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funders: Universiteit Gent, Bijzonder Onderzoeksfonds UGent

Awards: G1083792743, G4733659820