Fractional derivatives in complex planes
type: Item
instance of: scholarly article
title: Fractional derivatives in complex planes
zbMATH Open document ID: 1173.26305
author: Changpin Li
author: Xuanhung Dao
author: Peng Guo
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2009-07-01T00:00:00Z
review text: Some properties regarding the Caputo derivative defined on real lines are studied. These properties include the expression of the Caputo derivative operator in analytic function space, and homogeneous property. Then some properties such as consistency, compositions of the Ortigueira derivative defined in the complex plane are obtained. Further the Caputo derivative on the real line is generalised to that on the complex plane. The characters of the Caputo derivative on the complex plane which includes non-consistency with classical derivatives, composition properties and its Laplace and Fourier transforms are also discussed. Finally the corresponding Riemann-Liouville derivative defined in complex palnes is considered.
reviewed by: Som Prakash Goyal
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 46F12
zbMATH DE Number: 5573707
zbMATH Keywords: Caputo derivative
zbMATH Keywords: Ortigueira derivative
zbMATH Keywords: Riemann-Liouville derivative
MaRDI profile type: Publication
full work available at URL: j.na.2009.01.021
OpenAlex ID: W2030391314
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DOI: 10.1016/J.NA.2009.01.021
description: scientific article; zbMATH DE number 5573707