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Fractal functions communication with fractional calculus

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Fractal functions communication with fractional calculus by A. Gowrisankar, T. M. C. Priyanka, Santo Banerjee.
作者:	Gowrisankar, A.
其他作者:	Priyanka, T. M. C.
出版者:	Cham :Springer Nature Switzerland :2025.
面頁冊數:	xi, 186 p. :ill. (chiefly col.), digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Fractals.
電子資源:	https://doi.org/10.1007/978-3-031-96993-5
ISBN:	9783031969935$q(electronic bk.)

Fractal functions communication with fractional calculus
Gowrisankar, A.

Fractal functions communication with fractional calculus [electronic resource] /by A. Gowrisankar, T. M. C. Priyanka, Santo Banerjee. - Cham :Springer Nature Switzerland :2025. - xi, 186 p. :ill. (chiefly col.), digital ;24 cm.

Fractal Geometry -- Fractal Functions An Overview -- Fractal Interpolation Vs Classical Interpolation -- Fractal Splines -- Fractal Co efficients -- Classical Integration on Fractal Functions -- Methods of Fractional Calculus -- Fractional Derivative Order and Fractal Scalings -- Fractional Integral Order and Fractal Scalings -- Applications of Fractal Interpolation Functions.

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.

ISBN: 9783031969935$q(electronic bk.)

Standard No.: 10.1007/978-3-031-96993-5doiSubjects--Topical Terms:

182287
Fractals.

LC Class. No.: QA314

Dewey Class. No.: 515.83

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505 0 $a Fractal Geometry -- Fractal Functions An Overview -- Fractal Interpolation Vs Classical Interpolation -- Fractal Splines -- Fractal Co efficients -- Classical Integration on Fractal Functions -- Methods of Fractional Calculus -- Fractional Derivative Order and Fractal Scalings -- Fractional Integral Order and Fractal Scalings -- Applications of Fractal Interpolation Functions.
520 $a 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.
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