Fractal Functions Communication with Fractional Calculus【電子書籍】[ A. Gowrisankar ]

＜p＞This book provides an in-depth examination of fractal functions, focusing on their self-similar structures and the relatively simple construction procedures that make them a subject of fascination in mathematics and engineering. By exploring fractal interpolation functions, the book sheds light on naturally occurring phenomena that exhibit irregularity and non-integer dimensions, offering a fresh perspective on these complex mathematical constructs.＜/p＞ ＜p＞The chapters cover a range of topics, including the foundational principles of fractal geometry, the construction of fractal functions through iterated function systems, and the critical role of scaling parameters. Readers will find expert analyses of affine and non-affine fractal functions, as well as discussions on the application of fractional calculus methods such as the Riemann-Liouville and Caputo derivatives. The book also explores the practical applications of fractal interpolation in areas like epidemiology and climate dy．．．楽天市場のショップで商品詳細の続きを見る