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Fractal Functions Communication with Fractional Calculus

By A. Gowrisankar

Fractal Functions Communication with Fractional Calculus

By A. Gowrisankar

- Default Title
Description
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.
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 dynamics, demonstrating the relevance of these mathematical concepts to real-world problems.
This volume is an essential resource for researchers and scholars in mathematics, engineering, and related fields. It offers a comprehensive overview of the current research on fractal functions and fractional calculus, providing readers with the tools to understand and apply these concepts in their work. Whether you are an academic seeking to deepen your knowledge or a practitioner looking to apply fractal functions to practical challenges, this book is a valuable addition to your library. It invites you to engage with the latest research and explore the potential of fractal functions in addressing complex scientific and engineering problems.
Product details
Number of Pages:
200
Release Date:
2025-09-27
Publication Date:
2025-09-27
Publisher:
Springer
Languages:
Original: English
ISBN10:
3031969928
ISBN13:
9783031969928
GPSR Manufacturer Reference:
[email protected]
Weight:
469 g
Height:
160 cm
Width:
241 cm
Thickness:
17 cm
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