Modeling in Mathematics

1. Front Matter

   Pages i-x

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2. Fractional–Calculus–Based FDTD Algorithm for Ultra–Wideband Electromagnetic Pulse Propagation in Complex Layered Havriliak–Negami Media

   • Diego Caratelli, Luciano Mescia, Pietro Bia

   Pages 1-15

3. Spherical Harmonic Solution of the Robin Problem for the Laplace Equation in Supershaped Shells

   • Diego Caratelli, Pierpaolo Natalini, Paolo Emilio Ricci

   Pages 17-30

4. Evolution Equations Involving Matrices Raised to Non-Integer Exponents

   • Giuseppe Dattoli, Silvia Licciardi, Federico Nguyen, Elio Sabia

   Pages 31-41

5. Hermite Calculus

   • Giuseppe Dattoli, Bruna Germano, Silvia Licciardi, Maria Renata Martinelli

   Pages 43-52

6. Modal Epistemic Łukasiewicz Logic with Constant and Its Application in Immune System

   • Antonio Di Nola, Revaz Grigolia, Nunu Mitskevich

   Pages 53-65

7. Potential Fields of Self Intersecting Gielis Curves for Modeling and Generalized Blending Techniques

   • Yohan Fougerolle, Frédéric Truchetet, Johan Gielis

   Pages 67-81

8. A Biogeometrical Model for Corolla Fusion in Asclepiad Flowers

   • Johan Gielis, Diego Caratelli, Yohan Fougerolle, Paolo Emilio Ricci, Tom Gerats

   Pages 83-105

9. A Note About Generalized Forms of the Gielis Formula

   • Johan Gielis, Pierpaolo Natalini, Paolo Emilio Ricci

   Pages 107-116

10. Avoiding Higher Matrix Powers in the Solution of Linear Dynamical Systems

    • Pierpaolo Natalini, Paolo Emilio Ricci

    Pages 117-127

11. On a Geometric Model of Bodies with “Complex” Configuration and Some Movements

    • Ilia Tavkhelidze, Diego Caratelli, Johan Gielis, Paolo Emilio Ricci, Mamanti Rogava, Maria Transirico

    Pages 129-158

12. Some Properties of “Bulky” Links, Generated by Generalised Möbius–Listing’s Bodies \(GML_m^n\{0\}\)

    • Ilia Tavkhelidze, Paolo Emilio Ricci

    Pages 159-185

This book contains a collection of papers presented at the 2nd Tbilisi Salerno Workshop on Mathematical Modeling  in March 2015.  The focus is on applications of mathematics in physics, electromagnetics, biochemistry and botany, and covers such  topics as multimodal logic, fractional calculus, special functions,  Fourier-like solutions for PDE’s,  Rvachev-functions and linear dynamical systems.  Special  chapters focus on recent uniform analytic descriptions of natural and abstract shapes using the Gielis Formula.  The book is intended for a wide audience with interest in application of mathematics to modeling in the natural sciences.

• Gielis Formula
• Mobius-Listing Surfaces
• Rvachev Functions
• Biological Modeling
• Mathematical Modeling

• Bio-Engineering Sciences, University of Antwerp, Antwerp, Belgium

  Johan Gielis

• International Telematic University UniNettuno, Roma, Italy

  Paolo Emilio Ricci

• Faculty of Exact and Natural Sciences, Ivane Javakhishvili Tbilisi State University, Tbilisi, Georgia

  Ilia Tavkhelidze

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