An expansion formula for fractional derivatives of variable order

• Authors: Teodor Atanackovic , Marko Janev , Stevan Pilipovic , Dusan Zorica
• Languages of publication: EN

Abstracts

EN

In this work we extend our previous results and derive an expansion formula for fractional derivatives of variable order. The formula is used to determine fractional derivatives of variable order of two elementary functions. Also we propose a constitutive equation describing a solidifying material and determine the corresponding stress relaxation function.

Keywords

EN

Fractional derivative of variable order; expansion formula

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2013
• Volume: 11
• Issue: 10
• Pages: 1350-1360

Dates

published

1 - 10 - 2013

online

19 - 12 - 2013

Contributors

author

Teodor Atanackovic

• Department of Mechanics, Faculty of Technical Sciences, University of Novi Sad, Trg D. Obradovica 6, 21000, Novi Sad, Serbia

author

Marko Janev

• Mathematical Institute, Serbian Academy of Arts and Sciences, Kneza Mihaila 36, 11000, Belgrade, Serbia

author

Stevan Pilipovic

• Department of Mathematics, Faculty of Natural Sciences and Mathematics, University of Novi Sad, Trg D. Obradovica 3, 21000, Novi Sad, Serbia

author

Dusan Zorica

• Mathematical Institute, Serbian Academy of Arts and Sciences, Kneza Mihaila 36, 11000, Belgrade, Serbia

References

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Identifiers

DOI

10.2478/s11534-013-0243-z