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Complex-order fractional diffusion in reaction-diffusion systems

Abstract:

Fractional differential equations have become a fundamental modelling approach for understanding and simulating the many aspects of non-locality and spatial heterogeneity of complex materials and systems. Yet, while real-order fractional operators are nowadays widely adopted, little progress has been made in extending such operators to complex-order counterparts. In this work, we introduce new definitions for the complex-order fractional Laplacian, fully consistent with the theory of averagin...

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Publication status:
Published
Peer review status:
Peer reviewed

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Institution:
University of Oxford
Division:
MPLS
Department:
Computer Science
Role:
Author
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Name:
British Heart Foundation
Grant:
FS/17/22/32644
Publisher:
Elsevier
Journal:
Communications in Nonlinear Science and Numerical Simulation More from this journal
Volume:
119
Article number:
107120
Publication date:
2023-01-14
Acceptance date:
2023-01-10
DOI:
ISSN:
1007-5704
Language:
English
Keywords:
Pubs id:
1322162
Local pid:
pubs:1322162
Deposit date:
2023-01-16

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