Special Issue "Fractal-Fractional Models for Engineering & Sciences"

Submission Deadline: 01 October 2022
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Guest Editors
Prof. JI-Huan He, Soochow University, China
Dr. Muhammad Nadeem, Yibin University, China

Summary

Fractal geometry, two-scale fractal, fractional calculus, discontinuity, fractal MEMS system, fractal vibration system, fractal solitary theory, fractal variational theory.


An engineer is familiar with differential models for complex problems, but they become inaccurate or even invalid for discontinuous problems, e.g., porous medium, stochastic diffusion and permeability. To overcome the shortcoming of the traditional calculus, the fractal theory and fractional calculus have to be adopted.


This special issue focuses on the last development of the fractal-fractional theory for discontinuous problems for applications in engineering & sciences, and submissions on the following specific topics are welcome:

 1) Fractal theory for natural phenomena and meta-materials and other artificial materials;

 2) Fractal theory for mechanical and architectural designs;

 3) Fractal patterns in natural phenomena and chaotic structures;

 4) Fractal-fractional differential models for practical problems

 5)  Physical laws in fractal space or fractal spacetime;

 6) Two-scale economics and two-scale mathematics;

 7) Analytical methods and Numerical methods for fractal–fractional differential equations



Keywords
Fractal geometry, two-scale fractal, fractional calculus, discontinuity, fractal MEMS system, fractal vibration system, fractal solitary theory, fractal variational theory.