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• W2964009088 abstract "We introduce complex order fractional derivatives in models that describe viscoelastic materials. This cannot 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.
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• W2964009088 date "2016-01-15" @default.
• W2964009088 modified "2023-10-13" @default.
• W2964009088 title "Complex order fractional derivatives in viscoelasticity" @default.
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• W2964009088 doi "https://doi.org/10.1007/s11043-016-9290-3" @default.
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