|
|||||
|
|
Wave equation for generalized Zener model containing complex order fractional derivatives |
|
| Authors: | Teodor M Atanackovi? Marko Janev Sanja Konjik Stevan Pilipovi? |
| Institution: | 1.Institute of Mechanics, Faculty of Technical Sciences,University of Novi Sad,Novi Sad,Serbia;2.Institute of Mathematics,Serbian Academy of Sciences and Arts,Belgrade,Serbia;3.Department of Mathematics and Informatics, Faculty of Sciences,University of Novi Sad,Novi Sad,Serbia |
| Abstract: | We study waves in a viscoelastic rod whose constitutive equation is of generalized Zener type that contains fractional derivatives of complex order. The restrictions following from the Second Law of Thermodynamics are derived. The initial boundary value problem for such materials is formulated and solution is presented in the form of convolution. Two specific examples are analyzed. |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ | |