Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8901621 | Journal of Computational and Applied Mathematics | 2019 | 30 Pages |
Abstract
Using the properties of convolution product in Banach spaces Lp(Rn) and the fixed point theory, the stability temporal intervals of a nonlinear operator for a given fractional order ν are determined. The graphical representations present in the numerical examples show how the existence of fractional derivative in the selected rheological model influences the dynamic response of the structure compared to the classical Zener model. The results of this study prove that the presented algorithm is an efficient tool for solving the fractional integro-differential equations.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Olga Martin,