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An expansion formula for fractional derivatives of variable order |
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| Authors: | Teodor M Atanackovic Marko Janev Stevan Pilipovic Dusan Zorica |
| Institution: | 1. Department of Mechanics, Faculty of Technical Sciences, University of Novi Sad, Trg D. Obradovica 6, 21000, Novi Sad, Serbia 2. Mathematical Institute, Serbian Academy of Arts and Sciences, Kneza Mihaila 36, 11000, Belgrade, Serbia 3. Department of Mathematics, Faculty of Natural Sciences and Mathematics, University of Novi Sad, Trg D. Obradovica 3, 21000, Novi Sad, Serbia |
| 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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