Call for Papers for the Special Issue: Modeling of dynamics of systems using the fractional calculus

The Introduction of the Special Issue

Viscoelastic components are widely employed in several engineering components and structures because of their ability to dampen out the vibrations. A special type of material constitutive relations (stress-strain relations) for viscoelastic materials, namely those using fractional time derivatives are suitable mathematical tools that could precisely fit with experimental models. The damping represented by fractional derivatives can describe material damping properties over a broad range of frequencies. Consequently, this special issue is focused on the studies deal with motion/vibration analysis of viscoelastic/fractionally damped structures. The governing equations of motion for these structures are fractional partial differential equations which can be solved analytically or numerically. For example, the solution in time domain can be derived analytically by contour integration. Furthermore, the numerical inverse Laplace transform can be used to solve the ensuing fractional partial differential equations.

The Research Scope of the Special Issue

· Applied Mathematics

· Numerical Analysis

· Fractional Partial Differential Equations

· Contour integration

· Dynamics of Motion

The Article Title of the Special Issue

1: Vibrations Analysis of Discrete Systems with Fractional Damping

2: Vibrations Analysis of Viscoelastic/Fractionally Damped beams

3: Vibrations Analysis of Viscoelastic/Fractionally Damped Plates

4: Design of Optimal Fractionally Damped Vibration Absorbers

5: Mathematical Analysis of Fractional Derivative Models for Viscoelastic Materials

6: Numerical Solution Methods for Motion Equations of Fractional type

7: Application of Fractional Calculus for Modeling of Composite Structures

Submission guidelines

All papers should be submitted via the Insight - Mathematics submission system:

http://insight.piscomed.com/index.php/MTA

Submitted articles should not be published or under review elsewhere. All submissions will be subject to the journal’s standard peer review process. Criteria for acceptance include originality, contribution, scientific merit and relevance to the field of interest of the Special Issue.

Important Dates

Paper Submission Due: November 01 , 2019

The Lead Guest Editor

Reza Teymoori Faal