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- W4299587079 abstract "We introduce complex order fractional derivatives in models that describe viscoelastic materials. This can not be carried out unrestrictedly, and therefore we derive, for the first time, real valued compatibility constraints, as well as physical constraints that lead to acceptable models. As a result, we introduce a new form of complex order fractional derivative. Also, we consider a fractional differential equation with complex derivatives, and study its solvability. Results obtained for stress relaxation and creep are illustrated by several numerical examples." @default.
- W4299587079 created "2022-10-02" @default.
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- W4299587079 date "2014-07-31" @default.
- W4299587079 modified "2023-09-29" @default.
- W4299587079 title "Complex order fractional derivatives in viscoelasticity" @default.
- W4299587079 doi "https://doi.org/10.48550/arxiv.1407.8294" @default.
- W4299587079 hasPublicationYear "2014" @default.
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