title: Space-time fractional Zener wave equation.
abstract: The space-time fractional Zener wave equation, describing viscoelastic materials obeying the time-fractional Zener model and the space-fractional strain measure, is derived and analysed. This model includes waves with finite speed, as well as non-propagating disturbances. The existence and the uniqueness of the solution to the generalized Cauchy problem are proved. Special cases are investigated and numerical examples are presented.
authors: Department of Mechanics, Faculty of Technical Sciences , University of Novi Sad , Trg D. Obradovica 6, 21000 Novi Sad, Serbia.
authors: T M
authors: TM
authors: Atanackovic
authors: Mathematical Institute , Serbian Academy of Arts and Sciences , Kneza Mihaila 36, 11000 Belgrade, Serbia.
authors: M
authors: M
authors: Janev
authors: Faculty of Education in Sombor , University of Novi Sad , Podgorička 4, 25000 Sombor, Serbia.
authors: Lj
authors: L
authors: Oparnica
authors: Department of Mathematics, Faculty of Natural Sciences and Mathematics , University of Novi Sad , Trg D. Obradovica 4, 21000 Novi Sad, Serbia.
authors: S
authors: S
authors: Pilipovic
authors: Mathematical Institute , Serbian Academy of Arts and Sciences , Kneza Mihaila 36, 11000 Belgrade, Serbia.
authors: D
authors: 0000-0002-9117-8589
authors: D
authors: Zorica
keywords: Cauchy problem; Laplace and Fourier transforms; fractional Zener model; fractional strain measure; generalized solution