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Wave process in viscoelastic media using fractional derivatives with nonsingular kernels.
- Source :
-
Mathematical Methods in the Applied Sciences . Mar2023, Vol. 46 Issue 4, p4413-4436. 24p. - Publication Year :
- 2023
-
Abstract
- We consider the equations of motion of a bar, with given density, infinite in both directions, subjected to longitudinal vibrations under the action of an external load, and a stress–strain relation represented by a fractional‐order operator. Using three types of fractional operators, the initial‐boundary value problems associated with the described phenomenon are posed and solved. Through the bivariate Mittag–Leffer function, which has been recently introduced, we find the fundamental solution of these problems and calculate their moments. [ABSTRACT FROM AUTHOR]
- Subjects :
- *THEORY of wave motion
*STRAINS & stresses (Mechanics)
*VISCOELASTICITY
*DENSITY
Subjects
Details
- Language :
- English
- ISSN :
- 01704214
- Volume :
- 46
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Mathematical Methods in the Applied Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 161743354
- Full Text :
- https://doi.org/10.1002/mma.8767