Generalized GL, Caputo, and Riemann-Liouville derivatives for analytic functions

Manuel Duarte Ortigueira; DEE Group Author

Generalized GL, Caputo, and Riemann-Liouville derivatives for analytic functions

Manuel Duarte Ortigueira, DEE Group Author

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

The formulations of Riemann-Liouville and Caputo derivatives in the complex plane are presented. Two versions corresponding to the whole or half plane. It is shown that they can be obtained from the Grünwald-Letnikov derivative.

Original language	Unknown
Title of host publication	International Conference on Nonlinear Science and Complexity
Pages	28-31
Publication status	Published - 1 Jan 2010
Event	3rd Conference on Nonlinear Science and Complexity - Duration: 1 Jan 2010 → …

Conference

Conference	3rd Conference on Nonlinear Science and Complexity
Period	1/01/10 → …

Cite this

@inproceedings{175ed8316c4f4b5b8f5a0df17642daf9,

title = "Generalized GL, Caputo, and Riemann-Liouville derivatives for analytic functions",

abstract = "The formulations of Riemann-Liouville and Caputo derivatives in the complex plane are presented. Two versions corresponding to the whole or half plane. It is shown that they can be obtained from the Gr{\"u}nwald-Letnikov derivative.",

author = "Ortigueira, {Manuel Duarte} and {DEE Group Author}",

year = "2010",

month = jan,

day = "1",

language = "Unknown",

pages = "28--31",

booktitle = "International Conference on Nonlinear Science and Complexity",

note = "3rd Conference on Nonlinear Science and Complexity ; Conference date: 01-01-2010",

}

TY - GEN

T1 - Generalized GL, Caputo, and Riemann-Liouville derivatives for analytic functions

AU - Ortigueira, Manuel Duarte

AU - DEE Group Author

PY - 2010/1/1

Y1 - 2010/1/1

N2 - The formulations of Riemann-Liouville and Caputo derivatives in the complex plane are presented. Two versions corresponding to the whole or half plane. It is shown that they can be obtained from the Grünwald-Letnikov derivative.

AB - The formulations of Riemann-Liouville and Caputo derivatives in the complex plane are presented. Two versions corresponding to the whole or half plane. It is shown that they can be obtained from the Grünwald-Letnikov derivative.

M3 - Conference contribution

SP - 28

EP - 31

BT - International Conference on Nonlinear Science and Complexity

T2 - 3rd Conference on Nonlinear Science and Complexity

Y2 - 1 January 2010

ER -