Variable order and distributed order fractional operators
type: Item
instance of: scholarly article
title: Variable order and distributed order fractional operators
zbMATH Open document ID: 1018.93007
DOI: 10.1023/A:1016586905654
author: C. F. Lorenzo
author: T. T. Hartley
published in: Nonlinear Dynamics
publication date: 2003-09-09T00:00:00Z
review text: Many physical processes appear to exhibit fractional order behaviour that may vary with time or space. The continuum of order in the fractional calculus allows the order of the fractional operator to be considered as a variable. The paper develops the concept of variable and distributed order fractional operators. The concept of distributed order operators in which the order of the time based operator depends on an additional independent spatial variable is also extended. Finally, operators of multivariable and distributed order are defined and their various applications outlined.
reviewed by: Christina Diakaki
Mathematics Subject Classification ID: 93B28
zbMATH DE Number: 1850648
zbMATH Keywords: fractional order behaviour
zbMATH Keywords: fractional calculus
zbMATH Keywords: distributed order
zbMATH Keywords: fractional operators
MaRDI profile type: Publication
full work available at URL: a:1016586905654
OpenAlex ID: W1571391776
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description: scientific article; zbMATH DE number 1850648