Ebook: Hausdorff Calculus: Applications to Fractal Systems

This book introduces the fundamental concepts, methods, and applications of Hausdorff calculus, with a focus on its applications in fractal systems. Topics such as the Hausdorff diffusion equation, Hausdorff radial basis function, Hausdorff derivative nonlinear systems, PDE modeling, statistics on fractals, etc. are discussed in detail. It is an essential reference for researchers in mathematics, physics, geomechanics, and mechanics.

• Presents the theory and applications of Hausdorff calculus.
• Covers applications in dynamics, statistics, mechanics, and computation.
• Of interest to mathematicians and physicists as well as to engineers.