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An expansion formula for fractional derivatives of variable order

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Central European Journal of Physics

Abstract

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.

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Author information

Authors and Affiliations

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

    Teodor M. Atanackovic

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

    Marko Janev & Dusan Zorica

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

    Stevan Pilipovic

Authors
  1. Teodor M. Atanackovic
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  2. Marko Janev
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  3. Stevan Pilipovic
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  4. Dusan Zorica
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Corresponding author

Correspondence to Teodor M. Atanackovic.

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Atanackovic, T.M., Janev, M., Pilipovic, S. et al. An expansion formula for fractional derivatives of variable order. centr.eur.j.phys. 11, 1350–1360 (2013). https://doi.org/10.2478/s11534-013-0243-z

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  • DOI: https://doi.org/10.2478/s11534-013-0243-z

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