Fractals: Complex Geometry, Patterns, and Scaling in Nature and Society

Fractals and Local Fractional Calculus: Recent Advances and Future Challenges

Fractal Theory is a solid branch of nonlinear science and has important applications in interdisciplinary areas dealing with self-similar patterns. In recent years, local fractional calculus, an area of mathematics which handles everywhere continuous but nowhere differentiable functions in fractal space, started to be intensively used in various fields of science and engineering.

Recent advances in local fractional calculus, such as local fractional differential equations and integral equations, inequalities, fractal sets, fractal metric space, fractal Banach space, fractal Hilbert space and others, demonstrate its usefulness in theoretical and real-world applications. Motivated by these new developments, in this special issue we bring together high quality manuscripts from fractal theory and local fractional calculus addressing theory or applied science viewpoints.

Potential topics included, but are not limited to:

Local fractional integral transforms and applications
Local fractional differential equations and applications
Local fractional integral equations with their solutions
Existence and uniqueness of solutions of local fractional differential equations
Analytical, approximate and numerical, exact solutions of local fractional differential equations
Local fractional inequalities
Advanced applications of local fractional calculus
Fractal geometry
Applications of fractal theory in science and engineering

Authors are welcome to contact the Lead Guest Editor, Dr. Xiao-Jun Yang (dyangxiaojun@163.com) to discuss ideas and suggestions on the topics of interest for this special issue. Manuscript drafts can also be submitted directly to Dr. X-J Yang.

For more information, see:

https://www.worldscientific.com/page/fractals/callforpapers03

Lead Guest Editor: