"Fractional Modelling and the Leibniz (L-Fractional) derivative as Visc" by Dionysios E. Mouzakis and Anastasios K. Lazopoulos

Progress in Fractional Differentiation & Applications

Article Title

Fractional Modelling and the Leibniz (L-Fractional) derivative as Viscoelastic Respondents in Polymer Biomaterials

Authors

Dionysios E. Mouzakis, Hellenic Army Academy, Department of Military Sciences, Sector of Mathematics and Engineering Applications, Applied Mechanics Laboratory, Vari, 16673 - GreeceFollow
Anastasios K. Lazopoulos

Author Country (or Countries)

Greece

Abstract

Leibniz fractional (L-Fractional) derivative is used to model viscoelastic mechanical systems. Since this derivative has important physical and mathematical meaning, it would be interesting to compare the theoretical with experimental data. Specifically the relaxation behaviour of the Zener fractional viscoelastic model is verified by experiment. The experimental results of the viscoelastic relaxation behaviour in a polymer mesh used for the surgical treatment of female urinary incontinence are used in order to check the applicability of fractional modelling in these systems. Data from relaxation experiments are used in combination with theoretical analysis to prove the Zener-model fractional analysis concept.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/pfda/050105

Recommended Citation

E. Mouzakis, Dionysios and K. Lazopoulos, Anastasios (2019) "Fractional Modelling and the Leibniz (L-Fractional) derivative as Viscoelastic Respondents in Polymer Biomaterials," Progress in Fractional Differentiation & Applications: Vol. 5: Iss. 1, Article 5.
DOI: http://dx.doi.org/10.18576/pfda/050105
Available at: https://digitalcommons.aaru.edu.jo/pfda/vol5/iss1/5

Download

COinS